Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type

Sergey Smirnov

doi:10.12775/TMNA.2022.074

Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type

Sergey Smirnov^*

^*Corresponding author for this work

University of Latvia

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 re-sults, we consider an example.

Original language	English
Pages (from-to)	377-384
Number of pages	8
Journal	Topological Methods in Nonlinear Analysis
Volume	62
Issue number	1
DOIs	https://doi.org/10.12775/TMNA.2022.074
Publication status	Published - Sept 2023

Keywords

existence of sign-changing solutions
Greens function
integral boundary condition
Leray{Schauder Conti-nuation Principle
Third-order nonlinear boundary value problems

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10.12775/TMNA.2022.074

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title = "Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type",

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 re-sults, we consider an example.",

keywords = "existence of sign-changing solutions, Greens function, integral boundary condition, Leray\{Schauder Conti-nuation Principle, Third-order nonlinear boundary value problems",

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AB - 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 re-sults, we consider an example.

KW - existence of sign-changing solutions

KW - Greens function

KW - integral boundary condition

KW - Leray{Schauder Conti-nuation Principle

KW - Third-order nonlinear boundary value problems

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JO - Topological Methods in Nonlinear Analysis

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ER -

Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type

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