2023 Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type
Sergey Smirnov
Topol. Methods Nonlinear Anal. 62(1): 377-384 (2023). DOI: 10.12775/TMNA.2022.074

Abstract

We prove the existence of at least one sign-changing solution for a third-order nonlocal boundary value problem by applying Leray-Schauder Continuation Principle. To illustrate the applicability of the obtained results, we consider an example.

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Sergey Smirnov. "Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type." Topol. Methods Nonlinear Anal. 62 (1) 377 - 384, 2023. https://doi.org/10.12775/TMNA.2022.074

Information

Published: 2023
First available in Project Euclid: 22 November 2023

Digital Object Identifier: 10.12775/TMNA.2022.074

Keywords: existence of sign-changing solutions , Green's function , integral boundary condition , Leray-Schauder Continuation Principle , Third-order nonlinear boundary value problems

Rights: Copyright © 2023 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.62 • No. 1 • 2023
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