Previous |  Up |  Next

Article

Title: Generalized differential equations in the space of regulated functions (boundary value problems and controllability)  (English)
Author: Tvrdý, Milan
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959
Volume: 116
Issue: 3
Year: 1991
Pages: 225-244
.
Category: math
.
Summary:
MSC: 26A45
MSC: 34B10
MSC: 34H05
idZBL: Zbl 0744.34021
idMR: MR1126445
.
Date available: 2009-09-24T20:45:15Z
Last updated: 2012-06-18
Stable URL: http://hdl.handle.net/10338.dmlcz/126174
.
Reference: [Au] Aumann G.: Reelle Funktionen.Springer-Verlag, Berlin-Heidelberg-New York, 1969. Zbl 0181.05801, MR 0061652
Reference: [Ba] Barbanti L.: Linear Volterra-Stieltjes integral equations and control.Lecture Notes in Mathematics 1017, Springer-Verlag (1983), 67-72. Zbl 0537.49021, MR 0726569
Reference: [Br] Bryan R. N: A nonhomogeneous linear differential system with interface conditions and their adjoints.Proc. A.M.S. 22 (1969), 270-276.
Reference: [Co] Conti R.: On ordinary differential equations with interface conditions.Journ. Diff. Eq. 4 (1968), 4-11. Zbl 0157.14104, MR 0218642
Reference: [Fi] Fichmann L.: Volterra-Stieltjes Integral Equations and Equations of the Neutral Type.(in Portuguese), Thesis. University of Sao Paulo (1984).
Reference: [Fra] Fraňková D.: Regulated functions.Math. Boh. (Časopis pěst. mat.) 116 (1991), 20-59. MR 1100424
Reference: [Ha] Halanay A.: Optimal control of periodic solutions.Rev. Roum. Math. Pures et Appl. 14 (1974), 3-16. Zbl 0276.49012, MR 0344968
Reference: [Hi] Hildebrandt T. H.: Introduction to the Theory of Integration.Academic Press, New York-London, 1963. Zbl 0112.28302, MR 0154957
Reference: [Hö1] Hönig Ch. S.: The adjoint equation of a linear Volterra-Stieltjes integral equation with a linear constraint.Lecture Notes in Mathematics 957, Springer-Verlag (1982), 118-125. MR 0679143
Reference: [Hö2] Hönig Ch. S.: Volterra-Stieltjes integral equations.Functional Differential Equations and Bifurcation, Proceedings of the Sao Carlos Conference 1979 (Lecture Notes in Mathematics 799). Spгinger-Verlag, 173-216. MR 0585488
Reference: [Ka] Kaltenborn H. S.: Linear functional operations on functions having discontinuities of the first kind.Bulletin A.M.S. (1934), 702-708. Zbl 0010.16905, MR 1562957
Reference: [Ku1] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter.Czech. Math. J. 7 (82) (1957), 418-449. Zbl 0090.30002, MR 0111875
Reference: [Ku2] Kurzweil J.: Nichtabsolute konvergente Integrale.BSB B. G. Teubner Verlagsgesselschaft, Leipzig, 1980. MR 0597703
Reference: [La] Lando Yu. K.: Controllable integro-differential operators.(in Russian). Diff. Uravn. 9 (1973), 2227-2230. MR 0333772
Reference: [Ma] Marchiò C: (M, N, F)-controllabilità completa.Questioni di controllabilità. Istituto U. Dini, Firenze (1973/2), 14-26.
Reference: [Rol] Rolewicz S.: Functional Analysis and Control Analysis (Lineaг Systems).PWN-Polish Scientific Publishers and D. Reidel, Warszawa and Dordrecht, 1987.
Reference: [Rud] Rudin W.: Functional Analysis.МcGraw-Hill, New York, 1973. Zbl 0253.46001, MR 1157815
Reference: [Rus] Russell D. L.: Mathematics of Finite-Dimensional Control Systems (Theory and Design).(LNPAM 43). M. Dekker, New York and Basel, 1979. Zbl 0408.93002, MR 0531035
Reference: [Sa] Saks S.: Theory of the Integral.Monografie Matematyczne, Warszawa-Lwów, 1937. Zbl 0017.30004
Reference: [Sch1] Schwabik Š.: Generalized Differential Equations (Fundamental Results).Rozpravy ČSAV, řada MPV, 95 (6), Academia, Praha, 1985. Zbl 0594.34002, MR 0823224
Reference: [Sch2] Schwabik Š.: On the relation between Young's and Kurzweil's concept of Stieltjes integral.Časopis pěst. mat. 98 (1973), 237-251. Zbl 0266.26006, MR 0322113
Reference: [SchЗ] Schwabik Š.: Differential equations with interface conditions.Časopis pěst. mat. 105 (1980), 391-408. Zbl 0453.34008, MR 0597916
Reference: [ST] Schwabik Š., Tvrdý M.: Boundary value problems for generalized linear differential equations.Czech. Math. J. 29 (104) (1974), 451-477. MR 0536070
Reference: [STV] Schwabik Š., Tvrdý M., Vejvoda O.: Differential and Integral Equations: Boundary Value Problems and Adjoints.Academia and D. Reidel, Praha and Dordrecht, 1979. MR 0542283
Reference: [T1] Tvrdý M.: Boundary value problems for linear generalized differential equations and their adjoints.Czech. Math. J. 23 (98) (1973), 183-217. MR 0320417
Reference: [T2] Tvrdý M.: Boundary value problems for generalized linear integrodifferential equations with left-continuous solutions.Časopis pěst. mat. 99 (1974), 147-157. MR 0405041
Reference: [TЗ] Tvrdý M.: Regulated functions and the Perron-Stieltjes integral.Časopis pěst. mat. 114 (1989), 187-209. MR 1063765
Reference: [Wa] Ward A. J.: The Perron-Stieltjes integral.Math. Zeitschr. 41 (1936), 578-604. Zbl 0014.39702, MR 1545641
Reference: [We] Wexler D.: On boundary value problems for an ordinary linear differential system.Аnn. Mat. pura ed appl. 80 (1968), 12З-1З4. MR 0247242
Reference: [Ze] Zettl A.: Аdjoint and self-adjoint boundary value problems with interface conditions.Јourn. Аppl. Mat. 16 (1968), 851-859. MR 0234049
.

Files

Files Size Format View
MathBohem_116-1991-3_1.pdf 1.836Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo