Boundedness of Solutions and Existence of Periodic Solutions of Nonlinear Differential Equations

Abstract:

      In this paper, we used a new method to discuss the boundedness and existence of periodic solutions of nonlinear differential system (dx)/(dt)=1/(a(x))[c(y)-b(x)];(dy)/(dt)=-a(x)[h(x)-e(t)] and applied these conclusions to study the boundedness of solutions and the existence of periodic solutions of the forcing vibrating differential equations x+(f(x)+g(x)x)x+h(x)=e(t).