Existence of multiple positive solutions for a third-order boundary value problem with nonlocal conditions
Articles
Sergey Smirnov
University of Latvia
https://orcid.org/0000-0003-0574-1337
Published 2023-04-26
https://doi.org/10.15388/namc.2023.28.32123
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Keywords

third-order nonlinear boundary value problems
nonlocal boundary conditions
existence of positive solutions
Green’s function
Krasnosel’skii’s fixed point theorem

How to Cite

Smirnov, S. (2023) “Existence of multiple positive solutions for a third-order boundary value problem with nonlocal conditions”, Nonlinear Analysis: Modelling and Control, 28(3), pp. 597–612. doi:10.15388/namc.2023.28.32123.

Abstract

We study the existence of multiple positive solutions for a nonlinear third-order differential equation subject to various nonlocal boundary conditions. The boundary conditions that we study contain Stieltjes integral and include the special cases of m-point conditions and integral conditions. The main tool in the proof of our result is Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider examples.

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