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

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-τ 1 (t)))+g 2 (t,x(t-τ 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.

MSC:
34K13Periodic solutions of functional differential equations
47N20Applications of operator theory to differential and integral equations