Positive Solutions to a Second Order Multi-point Boundary-value Problem

Date

2000-10-30

Authors

Cao, Daomin
Ma, Ruyun

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We prove the existence of positive solutions to the boundary-value problem u" + λα(t) ƒ (u,u') = 0 u(0) = 0, u(1) = ∑m-2i=1 αiu(↋i), where α is a continuous function that may change sign on [0,1], ƒ is a continuous function with ƒ (0,0) > 0, and λ is a small positive constant. For finding solutions we use the Leray-Schauder fixed point theorem.

Description

Keywords

Multi-point boundary value problem, Positive solution, Fixed point theorem

Citation

Cao, D., & Ma, R. (2000). Positive solutions to a second order multi-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2000</i>(65), pp. 1-8.

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Attribution 4.0 International

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