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Existence and Multiplicity of Positive Solutions for a Third-Order Two-Point Boundary Value Problem

Smirnov, Sergey

Jan 01, 2022

Existence and Multiplicity of Positive Solutions for a Third-Order Two-Point Boundary Value Problem's Cover Image

Tatra Mountains Mathematical Publications

Volume 79 (2021): Issue 2 (December 2021)

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Published Online: Jan 01, 2022

Page range: 199 - 212

Received: Sep 24, 2021

DOI: https://doi.org/10.2478/tmmp-2021-0027

Keywords
Nonlinear boundary value problems, existence and multiplicity of positive solutions, Green’s function, Krasnosel’skii’s fixed point theorem

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We study the existence and multiplicity of positive solutions for a third-order two-point boundary value problem by applying Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider some examples.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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