On second order periodic boundary-value problems with upper and lower solutions in the reversed order
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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. Electronic Journal of Differential Equations, 2006(25), pp. 1-8.
Rights
Attribution 4.0 International