POSITIVE SOLUTIONS FOR SYSTEMS OF M‐POINT NONLINEAR BOUNDARY VALUE PROBLEMS-Reference-Cited by-同舟云学术

POSITIVE SOLUTIONS FOR SYSTEMS OF M‐POINT NONLINEAR BOUNDARY VALUE PROBLEMS

Published:2008-09-30 Issue:3 Volume:13 Page:357-370
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Henderson Johnny¹,Ntouyas Sotiris K.²,Purnaras Ioannis K.²

Affiliation:

1. Baylor University, Department of Mathematics, Waco, Texas, 76798-7328 USA

2. University of Ioannina, Department of Mathematics, 451 10 Ioannina, Greece

Abstract

Positive solutions (u(t), v(t)) are sought for the nonlocal (m‐point) nonlinear system of boundary value problems, u” + λa(t)f(v) = 0, v” + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = 0, u(1) = . An application of a Guo‐Krasnosel'skii fixed point theorem yields sufficient values of λ for which such positive solutions exist.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference28 articles.

1. STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

2. On the existence of positive solutions of ordinary differential equations

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