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2020 Double resonance in Sturm-Liouville planar boundary value problems
Andrea Sfecci
Topol. Methods Nonlinear Anal. 55(2): 655-680 (2020). DOI: 10.12775/TMNA.2019.109

Abstract

We provide some existence results for Sturm-Liouville boundary value problems associated with the planar differential system $Jz'=g(t,z) + r(t,z)$ where $g$ is suitably controlled by the gradient of two positively homogeneous functions of degree 2 and $r$ is sublinear with respect to the variable $z$ at infinity. We study the existence of solutions when a double resonance phenomenon occurs by the introduction of Landesman-Lazer type conditions. Applications to scalar second order differential equations are given.

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Andrea Sfecci. "Double resonance in Sturm-Liouville planar boundary value problems." Topol. Methods Nonlinear Anal. 55 (2) 655 - 680, 2020. https://doi.org/10.12775/TMNA.2019.109

Information

Published: 2020
First available in Project Euclid: 11 June 2020

zbMATH: 07243990
MathSciNet: MR4131171
Digital Object Identifier: 10.12775/TMNA.2019.109

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.55 • No. 2 • 2020
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