On second order periodic boundary-value problems with upper and lower solutions in the reversed order

Date

2006-02-28

Authors

Gao, Haiyin
Weng, Shiyou
Jiang, Daqing
Hou, Xuezhang

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we study the differential equation with the periodic boundary value u″(t) = ƒ(t, u(t), u′(t)), t ∈ [0, 2π] u(0) = u(2π), u′(0) = u′(2π). The existence of solutions to the periodic boundary above with appropriate conditions is proved by using an upper and lower solution method.

Description

Keywords

Periodic boundary value, Existence, Upper and lower solutions

Citation

Gao, H., Weng, S., Jiang, D., & Hou, X. (2006). On second order periodic boundary-value problems with upper and lower solutions in the reversed order. <i>Electronic Journal of Differential Equations, 2006</i>(25), pp. 1-8.

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Attribution 4.0 International

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