Eigenvalues and symmetric positive solutions for a three-point boundary-value problem

Date

2005-11-23

Authors

Sun, Yong-Ping

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we consider the second-order three-point boundary-value problem u′′(t) + ƒ(t, u, u′, u′′) = 0, 0 ≤ t ≤ 1, u(0) = u(1) = αu(η) Under suitable conditions and using Schauder fixed point theorem, we prove the existence of at least one symmetric positive solution. We also study the existence of positive eigenvalues for this problem. We emphasis the highest-order derivative occurs nonlinearly in our problem.

Description

Keywords

Symmetric positive solution, Three-point boundary-value problem, Schauder fixed point theorem, Eigenvalue

Citation

Sun, Y. (2005). Eigenvalues and symmetric positive solutions for a three-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2005</i>(127), pp. 1-7.

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Attribution 4.0 International

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