On Solvability Theorems of Second-Order Ordinary Differential Equations with Delay

For each x0∈[0,2π) and k∈N, we obtain some existence theorems of periodic solutions to the two-point boundary value problem u′′(x)+k2u(x-x0)+g(x,u(x-x0))=h(x) in (0,2π) with u(0)-u(2π)=u′(0)-u′(2π)=0 when g:(0,2π)×R→R is a Caratheodory function which grows linearly in u as u→∞, and h∈L1(0,2π) may sa...

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Bibliographic Details
Main Author: Nai-Sher Yeh
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/5321314
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