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Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equations with Constant Delays

Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Neutral Functional... In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the second order neutral functional differential equation with constant delays of the form $$ {\left( {x{\left( t \right)} + Bx{\left( {t - \delta } \right)}} \right)}^{{\prime \prime }} + C{x}\ifmmode{'}\else$'$\fi{\left( t \right)} + g{\left( {x{\left( {t - \tau } \right)}} \right)} = p{\left( t \right)}. $$ http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Existence and Uniqueness of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equations with Constant Delays

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Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-006-0305-8
Publisher site
See Article on Publisher Site

Abstract

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the second order neutral functional differential equation with constant delays of the form $$ {\left( {x{\left( t \right)} + Bx{\left( {t - \delta } \right)}} \right)}^{{\prime \prime }} + C{x}\ifmmode{'}\else$'$\fi{\left( t \right)} + g{\left( {x{\left( {t - \tau } \right)}} \right)} = p{\left( t \right)}. $$

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2006

References