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Vietnam Journal of Mathematics 37:1 (2009) 1-13

Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear n-th Order Differential Equations with Delays

Changhong Zhao and Bingwen Liu

Abstract.  In this paper, we use the coincidence degree theory to establish new results on the existence of T-periodic solutions for a class of nonlinear n-th order differential equations with delays of the form

x⁽ⁿ⁾(t)+f(x^(n-1)(t))+g(t,x(t-τ(t)))=p(t).

2000 Mathematics Subject Classification: 34C25, 34D40

Keywords: n-th order differential equations, delays, periodic solution, coincidence degree.

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Published by Springer since January 2013