Existence and uniqueness of anti-periodic solutions for a kind of Rayleigh equation with two deviating arguments Original Research Article

In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a kind of Rayleigh equation with two deviating arguments of the form x″+f(t,x′(t))+g1(t,x(t−τ1(t)))+g2(t,x(t−τ2(t)))=e(t).x″+f(t,x′(t))+g1(t,x(t−τ1(t)))+g2(t,x(t−τ2(t)))=e(t). Turn MathJax on