Positive solutions for semipositone fourth-order two-point boundary value problems

Date

2007-01-23

Authors

Yang, Dandan
Zhu, Hongbo
Bai, Chuanzhi

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative. u(4)(t) = ƒ(t, u(t), u″(t)), 0 ≤ t ≤ 1, u′(1) = u″(1) = u‴(1) = 0, ku(0) = u‴(0), where -6 < k < 0, ƒ ≥ -M, and M is a positive constant. Our approach relies on the Krasnosel'skii fixed point theorem.

Description

Keywords

Boundary value problem, Positive solution, Semipositone, Fixed point

Citation

Yang, D., Zhu, H., & Bai, C. (2007). Positive solutions for semipositone fourth-order two-point boundary value problems. <i>Electronic Journal of Differential Equations, 2007</i>(16), pp. 1-8.

Rights

Attribution 4.0 International

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