47 Operator theory
47Jxx Equations and inequalities involving nonlinear operators
47J05 Equations involving nonlinear operators (general) (116 articles)
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Tang, Yan; Promkam, Ratthaprom; Cholamjiak, Prasit; Sunthrayuth, Pongsakorn:
Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces.
(English).
Applications of Mathematics,
vol. 67
(2022),
issue 2,
pp. 129-152
-
Jolaoso, Lateef O.; Mewomo, Oluwatosin T.:
Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 61
(2020),
issue 3,
pp. 277-312
-
Boussandel, Sahbi:
Existence and uniqueness of solutions for gradient systems without a compactness embedding condition.
(English).
Czechoslovak Mathematical Journal,
vol. 69
(2019),
issue 3,
pp. 637-651
-
Wang, Jin Rong; Fečkan, Michal:
Practical Ulam-Hyers-Rassias stability for nonlinear equations.
(English).
Mathematica Bohemica,
vol. 142
(2017),
issue 1,
pp. 47-56
-
Zhang, Youwei:
Solvability of a generalized third-order left focal problem at resonance in Banach spaces.
(English).
Mathematica Bohemica,
vol. 138
(2013),
issue 4,
pp. 361-382
-
Suvarnamani, Alongkot; Tatong, Mongkol:
An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings.
(English).
Archivum Mathematicum,
vol. 48
(2012),
issue 1,
pp. 45-59
-
Harasim, Petr:
On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients.
(English).
Applications of Mathematics,
vol. 56
(2011),
issue 5,
pp. 459-480
-
Harasim, Petr:
On the worst scenario method: a modified convergence theorem and its application to an uncertain differential equation.
(English).
Applications of Mathematics,
vol. 53
(2008),
issue 6,
pp. 583-598
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Nowakowski, Andrzej; Orpel, Aleksandra:
On the existence of multiple solutions for a nonlocal BVP with vector-valued response.
(English).
Czechoslovak Mathematical Journal,
vol. 56
(2006),
issue 2,
pp. 621-640
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Kyritsi, Sophia Th.; Matzakos, Nikolaos; Papageorgiou, Nikolaos S.:
Nonlinear boundary value problems for second order differential inclusions.
(English).
Czechoslovak Mathematical Journal,
vol. 55
(2005),
issue 3,
pp. 545-579
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Ambrosetti, Antonio:
Funkcionální rovnice v nelineární analýze. Věnováno G. Prodimu, velkému učiteli a drahému příteli.
(Czech) [Functional equations in the nonlinear analysis. Dedicated to G. Prodi, great teacher and dear friend].
Pokroky matematiky, fyziky a astronomie,
vol. 49
(2004),
issue 3,
pp. 196-206
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Anello, Giovanni; Cubiotti, Paolo:
Non-autonomous implicit integral equations with discontinuous right-hand side.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 45
(2004),
issue 3,
pp. 417-429
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Cuninghame-Green, R. A.; Zimmermann, K.:
Equation with residuated functions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 42
(2001),
issue 4,
pp. 729-740
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Cubiotti, Paolo:
Non-autonomous vector integral equations with discontinuous right-hand side.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 42
(2001),
issue 2,
pp. 319-329
-
O'Regan, Donal:
Fixed point theorems for weakly sequentially closed maps.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 1,
pp. 61-70
-
Gabor, Dorota:
The generalized coincidence index --- application to a boundary value problem.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 447-460
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Rudolf, Boris:
On the generalized boundary value problem.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 2,
pp. 125-137
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Cardinali, Tiziana; Papageorgiou, Nikolaos S.:
Periodic problems and problems with discontinuities for nonlinear parabolic equations.
(English).
Czechoslovak Mathematical Journal,
vol. 50
(2000),
issue 3,
pp. 467-497
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Buong, Nguyen:
Equations with discontinuous nonlinear semimonotone operators.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 40
(1999),
issue 1,
pp. 7-12
-
Tunaru, Radu:
An extension of invertibility of Hammerstein-type operators.
(English).
Czechoslovak Mathematical Journal,
vol. 49
(1999),
issue 2,
pp. 341-346
-
Mustonen, Vesa; Tienari, Matti:
On monotone-like mappings in Orlicz-Sobolev spaces.
(English).
Mathematica Bohemica,
vol. 124
(1999),
issue 2,
pp. 255-271
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Konečný, Milan:
Remarks to weakly continuous inverse operators and an application in hyperelasticity.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 7
(1999),
issue 1,
pp. 39-46
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Ďurikovič, Vladimír; Ďurikovičová, Mária:
Some generic properties of nonlinear second order diffusional type problem.
(English).
Archivum Mathematicum,
vol. 35
(1999),
issue 3,
pp. 229-244
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Cammaroto, Filippo; Cubiotti, Paolo:
Vector integral equations with discontinuous right-hand side.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 40
(1999),
issue 3,
pp. 483-490
-
Fečkan, Michal:
Existence of nonzero nonnegative solutions of semilinear equations at resonance.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 39
(1998),
issue 4,
pp. 709-719
-
O'Regan, Donal:
Fixed point theory for compact perturbations of pseudocontractive maps.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 3,
pp. 401-415
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Verma, Ram U.:
On monotone nonlinear variational inequality problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 39
(1998),
issue 1,
pp. 91-98
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Švec, Marko:
Periodic boundary value problem of a fourth order differential inclusion.
(English).
Archivum Mathematicum,
vol. 33
(1997),
issue 1,
pp. 167-171
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Feng, W.; Webb, J. R. L.:
Surjectivity results for nonlinear mappings without oddness conditions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 38
(1997),
issue 1,
pp. 15-28
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Burýšková, Věra; Burýšek, Slavomír:
On solvability of nonlinear operator equations and eigenvalues of homogeneous operators.
(English).
Mathematica Bohemica,
vol. 121
(1996),
issue 3,
pp. 301-314
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Emmanuele, G.:
Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces.
(English).
Czechoslovak Mathematical Journal,
vol. 44
(1994),
issue 4,
pp. 603-609
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Nugari, Rita:
Further remarks on the Nemitskii operator in Hölder spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 34
(1993),
issue 1,
pp. 89-95
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Gupta, Chaitan P.:
Solvability of a forced autonomous Duffing's equation with periodic boundary conditions in the presence of damping.
(English).
Applications of Mathematics,
vol. 38
(1993),
issue 3,
pp. 195-203
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Rudolf, Boris:
Existence theorems for nonlinear operator equation $Lu+Nu=f$ and some properties of the set of its solutions.
(English).
Mathematica Slovaca,
vol. 42
(1992),
issue 1,
pp. 55-63
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Verma, Ram U.:
Numerical range and related nonlinear functional equations.
(English).
Czechoslovak Mathematical Journal,
vol. 42
(1992),
issue 3,
pp. 503-513
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Kolomý, Josef:
On accretive multivalued mappings in Banach spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 31
(1990),
issue 4,
pp. 701-710
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Krejčí, Pavel:
Hysteresis operators - a new approach to evolution differential inequalities.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 3,
pp. 525-536
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Avgerinos, Evgenios P.; Papageorgiou, Nikolaos S.:
Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 4,
pp. 657-664
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Quittner, Pavol:
On positive solutions of semilinear elliptic problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 3,
pp. 579-585
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Chiappinelli, Raffaele:
Remarks on Krasnoselskii bifurcation theorem.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 2,
pp. 235-241
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Argyros, Ioannis K.:
Approximating the fixed points of some nonlinear operator equations.
(English).
Mathematica Slovaca,
vol. 38
(1988),
issue 4,
pp. 409-417
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Argyros, Ioannis K.:
Some sufficient conditions for finding a second solution of the quadratic equation in a Banach space.
(English).
Mathematica Slovaca,
vol. 38
(1988),
issue 4,
pp. 403-408
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Neumann, Jan:
An abstract differential equation and the potential bifurcation theorems by Krasnosel'skij.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 2,
pp. 261-276
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Fabián, Marián J.; Preiss, David:
A generalization of the interior mapping theorem of Clarke and Pourciau.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 2,
pp. 311-324
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Janovský, Vladimír; Janovská, Dáša:
Inflated mappings for singularities of codimension $\leq 2$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 3,
pp. 501-515
-
Švarc, Rudolf:
Linear complementarity problem and extremal hyperplanes.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 3,
pp. 517-536
-
Janovský, Vladimír; Janovská, Dáša:
Remarks on inflated mappings.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 3,
pp. 491-500
-
Milojevic, P. S.:
Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 4,
pp. 735-750
-
Švarc, Rudolf:
Some combinatorial results about the operators with jumping nonlinearities.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 4,
pp. 707-733
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Daneš, Josef:
Equivalence of some geometric and related results of nonlinear functional analysis.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 26
(1985),
issue 3,
pp. 443-454
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Le Van Hot:
A fixed point theorem.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 26
(1985),
issue 2,
pp. 299-308
-
Szufla, Stanisław:
An existence theorem for the Urysohn integral equation in Banach spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 25
(1984),
issue 1,
pp. 19-27
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Švarc, Rudolf:
The solution of a Fučík's conjecture.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 25
(1984),
issue 3,
pp. 483-517
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Rzepecki, Bogdan:
Some fixed point theorems for multivalued mappings.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 24
(1983),
issue 4,
pp. 741-745
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Le Van Hot:
Fixed point theorems for multivalued mappings.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 23
(1982),
issue 1,
pp. 137-145
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Tarafdar, Enayat:
On a nonlinear elliptic boundary value problem.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 23
(1982),
issue 3,
pp. 499-512
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Capozzi, Alberto; Salvatore, Addolorata:
Periodic solutions for nonlinear problems with strong resonance at infinity.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 23
(1982),
issue 3,
pp. 415-425
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Voldřich, Josef:
The ranges of nonlinear operators of the polynomial type.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 23
(1982),
issue 4,
pp. 671-684
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Drábek, Pavel:
Solvability of nonlinear problems at resonance.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 23
(1982),
issue 2,
pp. 359-368
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Drábek, Pavel:
Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue.
(English).
Aplikace matematiky,
vol. 26
(1981),
issue 4,
pp. 304-311
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Tarafdar, Enayat:
On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. II.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 22
(1981),
issue 1,
pp. 37-58
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Steudel, Reinhard:
Mathematische Behandlung eines Desorptionsmodells für biporöse Systeme.
(German) [Mathematical treatise of a desorption model for biporous systems].
Commentationes Mathematicae Universitatis Carolinae,
vol. 21
(1980),
issue 3,
pp. 605-618
-
Steudel, Reinhard:
Zur eindeutigen Lösbarkeit eines nichtlinearen Operatordifferentialgleichungssystems.
(German) [On unique solvability of a system of nonlinear operator differential equations].
Commentationes Mathematicae Universitatis Carolinae,
vol. 21
(1980),
issue 3,
pp. 591-604
-
Tarafdar, Enayat:
On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. I.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 21
(1980),
issue 4,
pp. 805-823
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Drábek, Pavel:
Ranges of $a$-homogeneous operators and their perturbations.
(English).
Časopis pro pěstování matematiky,
vol. 105
(1980),
issue 2,
pp. 167-183
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Reich, Simeon; Torrejón, Ricardo:
Zeros of accretive operators.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 21
(1980),
issue 3,
pp. 619-625
-
Hahn, Siegfried:
Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen.
(German) [A perturbation theorem for positive eigenvalues of condensing set-valued mappings in locally convex spaces].
Commentationes Mathematicae Universitatis Carolinae,
vol. 20
(1979),
issue 3,
pp. 417-430
-
Štědrý, M.:
Concerning Cesari's theorems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 19
(1978),
issue 3,
pp. 501-512
-
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Fučík, Svatopluk; Hess, Peter:
Nonlinear perturbations of linear operators having nullspace with strong unique continuation property (Preliminary communication).
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 19
(1978),
issue 2,
pp. 403-407
-
Fučík, Svatopluk:
Nonlinear potential equations with linear parts at resonance.
(English).
Časopis pro pěstování matematiky,
vol. 103
(1978),
issue 1,
pp. 78-94
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Jarušek, Jiří; Nečas, Jindřich:
Sur les domaines des valeurs des opérateurs non-linéaires.
(French) [On domains of values of nonlinear operators].
Časopis pro pěstování matematiky,
vol. 102
(1977),
issue 1,
pp. 61-72
-
-
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Fučík, Svatopluk:
Nonlinear equations with linear part at resonance: Variational approach.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 18
(1977),
issue 4,
pp. 723-734
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Podolak, Esther:
A note on the existence of more than one solution for asymptotically linear equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 18
(1977),
issue 1,
pp. 59-64
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Potapov, Alexandr S.; Potapova, T. Ja.; Filin, V. A.:
Зaмeчaния о неподвижных точкаx и coбcтвeнныx вeктopax пoлoжитeльныx уплотняющиx oператоров.
(Russian) [Remarks on the fixed points and eigenvectors of positive condensing operators].
Commentationes Mathematicae Universitatis Carolinae,
vol. 18
(1977),
issue 2,
pp. 219-230
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Mawhin, Jean:
Contractive mappings and periodically perturbed conservative systems.
(English).
Archivum Mathematicum,
vol. 12
(1976),
issue 2,
pp. 67-73
-
Kaufman, R.:
A nonlinear operator in potential theory.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 17
(1976),
issue 4,
pp. 731-735
-
Hetzer, Georg:
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 17
(1976),
issue 2,
pp. 315-334
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Fučík, Svatopluk:
Remarks on the solvability and nonsolvability of weakly nonlinear equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 17
(1976),
issue 1,
pp. 61-70
-
Hahn, Siegfried:
Über die Stabilität von Lösungen nichtlinearer Operatorengleichungen in nicht notwendig lokalkonvexen topologischen Vektorräumen.
(German) [On the stability of solutions of nonlinear operator equations in not necessarily locally convex linear topological spaces].
Commentationes Mathematicae Universitatis Carolinae,
vol. 17
(1976),
issue 3,
pp. 421-440
-
Kačur, Jozef:
Application of Rothe's method to nonlinear evolution equations.
(English).
Matematický časopis,
vol. 25
(1975),
issue 1,
pp. 63-81
-
Joshi, M.:
Existence theorems for a variant of Hammerstein's integral equation.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 16
(1975),
issue 2,
pp. 255-271
-
Gupta, Chaitan P.:
Nonlinear equations of Urysohn's type in a Banach space.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 16
(1975),
issue 2,
pp. 377-386
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Morris, Sidney A.:
The Schauder-Tychonoff Fixed Point Theorem and Applications.
(English).
Matematický časopis,
vol. 25
(1975),
issue 2,
pp. 165-172
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Hetzer, Georg:
Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 16
(1975),
issue 1,
pp. 121-138
-
Fučík, Svatopluk:
Спектральный анализ нелинейных операторов.
(Russian) [Spectral analysis of nonlinear operators].
Časopis pro pěstování matematiky,
vol. 100
(1975),
issue 2,
pp. 179-192
-
Joshi, M.:
Existence theorem for a generalized Hammerstein type equation.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 15
(1974),
issue 2,
pp. 283-291
-
Fučík, Svatopluk:
Further remark on a theorem by E. M. Landesman and A. C. Lazer.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 15
(1974),
issue 2,
pp. 259-271
-
Petry, Walter:
Nonlinear operator equations and boundary-value problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 15
(1974),
issue 3,
pp. 451-463
-
de Figueiredo, Djairo Guedes:
On the range of nonlinear operators with linear asymptotes which are not invertible.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 15
(1974),
issue 3,
pp. 415-428
-
Zezula, Rostislav:
Weak and strong convergence of projection methods in nonreflexive Banach spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 15
(1974),
issue 1,
pp. 29-47
-
Petry, Walter:
Existence theorems for operator equations and nonlinear elliptic boundary-value problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 14
(1973),
issue 1,
pp. 27-46
-
Petry, Walter:
Nonlinear eigenvalue problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 14
(1973),
issue 1,
pp. 113-126
-
Fučík, Svatopluk; Tran, Dien Hien:
Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 14
(1973),
issue 4,
pp. 583-608
-
Nečas, Jindřich:
On the range of nonlinear operators with linear asymptotes which are not invertible.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 14
(1973),
issue 1,
pp. 63-72
-
-
Nečas, Jindřich:
Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations.
(English).
Časopis pro pěstování matematiky,
vol. 97
(1972),
issue 1,
pp. 65-71
-
Kačur, Jozef:
On existence of the weak solution for non-linear partial differential equations of elliptic type. II.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 13
(1972),
issue 2,
pp. 211-225
-
Petry, Walter:
On the iterative construction of a solution of nonlinear elliptic boundary value problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 13
(1972),
issue 3,
pp. 479-492
-
Nečas, Jindřich:
Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 13
(1972),
issue 1,
pp. 109-120
-
Daneš, Josef:
Some existence theorems for nonlinear equations of Hammerstein type (Preliminary communication).
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 13
(1972),
issue 2,
pp. 397-401
-
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Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír:
Strengthening upper bound for the number of critical levels of nonlinear functionals.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 13
(1972),
issue 2,
pp. 297-310
-
Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír:
Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication).
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 13
(1972),
issue 1,
pp. 191-195
-
Cruceanu, Ştefan:
Régularisation pour les problèmes à opérateurs monotones et la méthode de Galerkin.
(French) [Regularization for problems on monotone operators and the method of Galerkin].
Commentationes Mathematicae Universitatis Carolinae,
vol. 12
(1971),
issue 1,
pp. 1-13
-
Sova, Miroslav:
Abstract semilinear equations with small nonlinearities.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 12
(1971),
issue 4,
pp. 785-805
-
Fučík, Svatopluk:
Note on the Fredholm alternative for nonlinear operators.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 12
(1971),
issue 2,
pp. 213-226
-
Kolomý, Josef:
Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication).
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 12
(1971),
issue 2,
pp. 413-418