New results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments. (English) Zbl 1161.34345

Huang, Chuangxia; He, Yigang; Huang, Lihong; Tan, Wen

Math. Comput. Modelling 46, No. 5-6, 604-611 (2007).

Existence of periodic solutions for the class of equations with two deviating arguments of the form
\[ x''(t)+f(x'(t))+g_1(t,x(t-{\tau}_1(t)))+g_2(t,x(t-{\tau}_2(t)))=p(t) \]
is investigated. The main tools used by the authors are: the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, thus improving and generalizing previous results.

Reviewer: Gheorghe Moroşanu (Budapest)

MSC:

34K13	Periodic solutions to functional-differential equations
47N20	Applications of operator theory to differential and integral equations

Keywords:

Rayleigh equation; deviating argument; periodic solution; coincidence degree

Software:

dde23

References:

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