Existence Of Solutions Of Rayleigh Equation Cycle

In this paper, we study the existence of periodic solutions of Rayleigh equationwhere f(x),g(x) are continuous and p(t) is a continuous and T-periodic function. When g(x) statisfieswhere a＞0,b＞0. a + b＞T, and f(x)satisfies sublinear conditionWe prove that the equation (1) has at least one T-periodic solution by using the continuation theorem. On the other hand, when the time map statisfiesand f(x) statisfieswe also prove that the equation (1) has at least one T-periodic solution by using the continuation theorem.