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Proceedings of the American Mathematical Society

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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
DOI: https://doi.org/10.1090/S0002-9939-1989-1004633-9
MathSciNet review: 1004633
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1989-1004633-9
Keywords: Semilinear equations at resonance, Dirichlet problem, Neumann problem, Leray-Schauder continuation method, topological degree
Article copyright: © Copyright 1989 American Mathematical Society