Nonlinear two point boundary value problems at resonance without Landesman-Lazer condition. (English) Zbl 0684.34025
Summary: 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.
MSC:
34B15 | Nonlinear boundary value problems for ordinary differential equations |
34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
55M25 | Degree, winding number |