Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Nonlinear two-point boundary value problems at resonance without Landesman-Lazer condition

Authors: R. Iannacci and M. N. Nkashama
Journal: Proc. Amer. Math. Soc. 106 (1989), 943-952
MSC: Primary 34B15
MathSciNet review: 1004633
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this paper is to study the solvability of a semilinear two-point boundary value problem of resonance type in which the nonlinear perturbation is not (necessarily) required to satisfy Landesman-Lazer condition or the monotonicity assumption. The nonlinearity may be unbounded.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34B15

Retrieve articles in all journals with MSC: 34B15

Additional Information

Keywords: Semilinear equations at resonance, Dirichlet problem, Neumann problem, Leray-Schauder continuation method, topological degree
Article copyright: © Copyright 1989 American Mathematical Society

American Mathematical Society