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.
Rights
Attribution 4.0 International