Periodic solutions for a kind of second order neutral functional differential equations

In this paper, criteria are established for the existence of periodic solutions to a second order sublinear neutral differential equation. Our method is based on careful a priori estimation and continuation theorem, and our sublinear condition is an improvement of the boundedness condition in some r...

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Bibliographic Details
Published in:Applied mathematics and computation 2007-07, Vol.190 (2), p.1394-1401
Main Authors: Shen, Jianhua, Liang, Ruixi
Format: Article
Language:English
Subjects:
Continuation theorem
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Periodic solution
Sciences and techniques of general use
Second order neutral differential equation
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Summary:In this paper, criteria are established for the existence of periodic solutions to a second order sublinear neutral differential equation. Our method is based on careful a priori estimation and continuation theorem, and our sublinear condition is an improvement of the boundedness condition in some recent results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.02.137