形如d^2x/dt^2+f(x)dx/dt+sinx=0方程解的有界性

On the Boundedness of the Equation with Form of d^2x/dt^2+f(x)dx/dt+sinx=0

研究了系统d2x/dt2+f(x)dx/dt+sinx=0的有界性,给出了该系统存在无界解的若干新的判据,并用实例说明结果的正确性和方法的有效性.

The aim of this paper is to study the boundedness of solutions of the nonlinear differential system d^2x/dt^2＋f（x）dx/dt＋sinx=0. We give several new sufficient conditions for a solution to be unbounded. Our results are true and effective by some examples.