Landesman-Lazar condition for nonlinear problems with jumping nonlinearities

DOI10.1016/0022-0396(90)90095-7zbMath0699.34019OpenAlexW1992425482MaRDI QIDQ913060

Pavel Drábek

Publication date: 1990

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90095-7

zbMATH Keywords

periodic boundary value problemshooting methodLeray-Schauder degreesecond order differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (14)

Periodic solutions of parabolic and telegraph equations with asymmetric nonlinearities ⋮ On the integral equation \(u(x)=F(x)+\int G(x,\xi)u_ +^{k/2}(\xi)d\xi/\int u_ +^{k/2}(\xi)d\xi\) ⋮ Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem ⋮ On solvability theorems of second-order ordinary differential equations with delay ⋮ Solvability of a nonlinear two-point boundary value problem at resonance II. ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ Double resonance in Sturm-Liouville planar boundary value problems ⋮ Existence Results for Periodic Boundary Value Problems with a Convenction Term ⋮ Ambrosetti-Prodi type result in semi-linear damped beam equations ⋮ Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem ⋮ Unnamed Item ⋮ On the solvability of semilinear differential equations at resonance ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited ⋮ On the second order periodic problem at resonance with impulses

Cites Work

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• Spectral analysis of nonlinear operators
• Unbounded perturbations of forced second order ordinary differential equations at resonance
• On the resonance problem with nonlinearity which has arbitrary linear growth
• Bounded perturbations of forced harmonic oscillators at resonance

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