一类非线性常微分方程的多解性及其迭代逼近

Multiplicity and Iterative Approximation of Solutions for a Class of Nonlinear Ordinary Differential Equations

讨论了工程中出现的一类非线性常微分方程的初值问题非平凡解的问题 ,证明了它的解的有界性、多解性以及用迭代方法求解的问题 ,是对 W.Okrasinski关于该方程的非平凡解结果的补充。

In this paper, we discuss the question on the nontrivial solutions of an initial value problem of a class of nonlinear ordinary diferential equations in engineering, prove the boundedness and multiplicity of the nontivial solutions. By using iteration, we also prove the solvability of the problem. This paper is a complement to the results of a previous (W.Okrasinski,On nontrivial solutions to some nonlinear ordinary differetial eguations.)paper.