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

Iannacci, R.; Nkashama, M. N.

doi:10.1090/S0002-9939-1989-1004633-9

Nonlinear two-point boundary value problems at resonance without Landesman-Lazer condition
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by R. Iannacci and M. N. Nkashama PDF

Proc. Amer. Math. Soc. 106 (1989), 943-952 Request permission

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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