Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the methodofLiapunov function.
Proves the stableness of this method with Liapunov Theory.
应用李亚普诺夫理论证明了该方法的稳定性。
3
The conditions of Theorems 1 and 2 formulated here adopt the Liapunov functions with parameter so that they may be more easily obtained by using Chetaev 's method.