| Title:
|
Nonlinear boundary value problems at resonance for differential equations in Banach spaces (English) |
| Author:
|
Przeradzki, Bogdan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
139-153 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
34G20 |
| idZBL:
|
Zbl 0836.34065 |
| idMR:
|
MR1357070 |
| . |
| Date available:
|
2009-09-25T11:05:42Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130609 |
| . |
| Reference:
|
[1] CESARI L.: Functional analysis, nonlinear differential equations and the alternative method.In: Nonlinear Functional Analysis and Differential Equations (L. Cesari, R. Kannan, J.D. Schuur, eds.), Marcel Dekker Inc., New York, 1976, pp. 1-198. MR 0487630 |
| Reference:
|
[2] DALECKIǏ J. L., KREǏN M. G.: Stability of Solutions of Differential Equations in Banach Spaces.(Russian), Nauka, Moscov, 1970. MR 0352638 |
| Reference:
|
[3] DEFIGUEIREDO D. G.: On the range of nonlinear operators with linear asymptotes which are not invertible.Comment. Math. Univ. Carolin. 15 (1974), 415-428. MR 0365254 |
| Reference:
|
[4] DRÁBEK P.: Landesman-Lazer condition and nonlinearities with linear growth.Czechoslovak Math. J. 40(115) (1990), 70-87. MR 1037351 |
| Reference:
|
[5] DUGUNDJI J., GRANAS A.: Fixed Point Theory.Vol. I, PWN, Warsaw, 1981. |
| Reference:
|
[6] FUČÍK S.: Solvability of Nonlinear Equations and Boundary Value Problems.D. Reidel Publ. Comp., Dordrecht, 1980. MR 0620638 |
| Reference:
|
[7] FURI M.-PERA P.: An elementary approach to boundary value problems at resonance.Nonlinear Anal. 4 (1980), 1081-1089. Zbl 0454.47054, MR 0591301 |
| Reference:
|
[8] IANNACCI R., NKASHAMA M. N.: Nonlinear two-point boundary value problems at resonance without Landesman-Lazer condition.Proc. Amer. Math. Soc. 106 (1989), 943-952. Zbl 0684.34025, MR 1004633 |
| Reference:
|
[9] KANNAN R.: Perturbation methods for nonlinear problems at resonance.In: Nonlinear Functional Analysis ... (see [1]) pp. 209-226. Zbl 0356.34057, MR 0492478 |
| Reference:
|
[10] LANDESMAN E. M., LAZER A. C.: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J. Math. Mech. 19 (1970), 609-623. Zbl 0193.39203, MR 0267269 |
| Reference:
|
[11] MAWHIN J.: Topological degree methods in nonlinear boundary value problems.In: Regional Conf. Series in Math. 40, Amer. Math. Soc., Providence R.I., 1979. Zbl 0414.34025, MR 0525202 |
| Reference:
|
[12] PRZERADZKI B.: An abstract version of the resonance theorem.Ann. Polon. Math. 53 (1991), 35-43. Zbl 0746.47043, MR 1110659 |
| Reference:
|
[13] PRZERADZKI B.: Operator equations at resonance with unbounded nonlinearities.Preprint. Zbl 0881.47045, MR 1404067 |
| Reference:
|
[14] PRZERADZKI B.: A new continuation method for the study of nonlinear equations at resonance.J. Math. Anal. Appl. 180 (1993), 553-565. Zbl 0807.34029, MR 1251875 |
| Reference:
|
[15] PRZERADZKI B.: A note on solutions of semilinear equations at resonance in a cone.Ann. Polon. Math. 58 (1993), 95-103. Zbl 0776.34035, MR 1215764 |
| Reference:
|
[16] PRZERADZKI B.: Three methods for the study of semilinear equations at resonance.Colloq. Math. 66 (1993), 109-129. Zbl 0828.47054, MR 1242650 |
| Reference:
|
[17] WILLIAMS S. A.: A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem.J. Differential Equations 8 (1970), 580-586. Zbl 0209.13003, MR 0267267 |
| . |
