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2007 EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FIRST ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH A DEVIATING ARGUMENT
Bingwen Liu, Lihong Huang
Taiwanese J. Math. 11(2): 497-510 (2007). DOI: 10.11650/twjm/1500404704

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 first order neutral functional differential equation with a deviating argument of the form \[ (x(t) + Bx(t-\delta))' = g_1(t,x(t)) + g_2(t, x(t-\tau(t))) + p(t). \]

Citation

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Bingwen Liu. Lihong Huang. "EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FIRST ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH A DEVIATING ARGUMENT." Taiwanese J. Math. 11 (2) 497 - 510, 2007. https://doi.org/10.11650/twjm/1500404704

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1138.34034
MathSciNet: MR2333361
Digital Object Identifier: 10.11650/twjm/1500404704

Subjects:
Primary: 34C25 , 34D40

Keywords: Coincidence degree , Deviating argument , first order , Functional differential equations , neutral , periodic solutions

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 2 • 2007
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