一类非线性微分方程的概周期解

The Almost Periodic Solution of a Nonlinear Defferential Equotion

考虑Banach空间X中的非线性微分方程x"-x±n＝f（t）在一定条件下利用不动点定理证明了上述方程在非空闭凸集SCX中概周期解的存在性。

in this paper we consider a nonlinear ordinary differential eqUation X' - X ± + Xn = f(t ) in a Banach space X. Under a celtain condition by using the fixed point theorem we prove the existence of the almost Periodic solution of the foregoing equations in the unempty, dosed, convex set S C X.