EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

Title & Authors
EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT
Zhou, Qiyuan; Xiao, Bing; Yu, Yuehua; Liu, Bingwen; Huang, Lihong;

Abstract
In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x+f(x(t))+g(t,\;x(t-\tau(t))) Keywords Rayleigth equation;deviating argument;periodic solution;coincidence degree; Language English Cited by References 1. T. A. Burton, Stability and Periodic Solution of Ordinary and Functional Differential Equations, Academic Press, Orland, FL., 1985 2. R. E. Gaines and J. Mawhin, Coincidence degree, and nonlinear differential equations, Lecture Notes in Math., 568, Spring-Verlag, 1977 3. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, London: Cambridge Univ. Press, 1952 4. X. Huang and Z. G. Xiang, On existence of$2{\pi}$-periodic solutions for delay duffing equation x'' + g(t, x(t -${\tau}\$(t))) = p(t), Chin. Sci. Bull. 39 (1994), no. 3, 201-203

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