| Title:
|
Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space (English) |
| Author:
|
Cesari, Lamberto |
| Author:
|
Engl, Heinz W. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1981 |
| Pages:
|
670-678 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K15 |
| MSC:
|
47H15 |
| idZBL:
|
Zbl 0499.34040 |
| idMR:
|
MR631608 |
| DOI:
|
10.21136/CMJ.1981.101779 |
| . |
| Date available:
|
2008-06-09T14:46:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101779 |
| . |
| Reference:
|
[1] L. Cesari: Functional analysis, nonlinear differential equations, and the alternative method.in: Nonlinear Functional Analysis and Differential Equations (L. Cesari, R. Kannan, J. Schuur, eds.), Dekker, New York, 1976, 1-197. MR 0487630 |
| Reference:
|
[2] L. Cesari R. Kannan: An abstract existence theorem at resonance.Proc. Amer. Math. Soc. 63 (1977), 221-225. MR 0448180, 10.1090/S0002-9939-1977-0448180-3 |
| Reference:
|
[3] L. Cesari: Nonlinear oscillations across a point of resonance for nonselfadjoint systems.Journ. Differential Equations 28 (1978), 43-59. Zbl 0395.34034, MR 0477909, 10.1016/0022-0396(78)90079-7 |
| Reference:
|
[4] L. Cesari: Functional analysis and periodic solutions of nonlinear differential equations.in: Contributions to Differential Equations 1, Wiley, New York, 1963, 149-187. Zbl 0132.07101, MR 0151678 |
| Reference:
|
[5] K. Deimling: Nichtlineare Gleichungen und Abbildungsgrade.Springer, Berlin, 1974. Zbl 0281.47033, MR 0500322 |
| Reference:
|
[6] S. Fučík: Further remarks on a theorem by E. Landesman and A. С Lazer.Comment. Math. Univ. Carol. 15 (1974), 259-271. MR 0348260 |
| Reference:
|
[7] R. Kantian P. McKenna: An existence theorem by alternative methods for semilinear abstract equations at resonance.Boll. Un. Mat. Ital. (5) 14-A (1977), 355-358. MR 0500347 |
| Reference:
|
[8] R. B. Kellogg: Uniqueness in the Schauder fixed point theorem.Proc. Amer. Math. Soc. 60 (1976), 207-210. MR 0423137, 10.1090/S0002-9939-1976-0423137-6 |
| Reference:
|
[9] E. Landesman A. Lazer: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J. Math. Mech. 19 (1970), 609-623. MR 0267269 |
| Reference:
|
[10] A. Lazer D. Leach: Bounded perturbations of forced harmonic oscillations at resonance.Ann. Mat. Pura Appl. 72 (1969), 49-68. MR 0249731 |
| Reference:
|
[11] N. Lloyd: Degree Theory.Cambridge University Press, Cambridge, 1978. Zbl 0367.47001, MR 0493564 |
| Reference:
|
[12] S. A. Williams: A connection between the Cesari and Leray-Schauder methods.Michigan Math. Journ. 15 (1968), 441-448. Zbl 0174.45601, MR 0236791, 10.1307/mmj/1029000100 |
| Reference:
|
[13] S. A. Williams: A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem.Journ. Differential Equations 8 (1970), 580-586. Zbl 0209.13003, MR 0267267, 10.1016/0022-0396(70)90031-8 |
| . |
