一类集值微分方程解的存在性和稳定性

The existence and stability of solutions for a class of nonlinear delay set-valued differential equations

讨论了一类时滞集值微分方程解的存在性和稳定性。首先,运用Leray-Schauder不动点定理和Gronwall不等式证明了时滞集值微分方程的解的存在性;然后,在此基础上,证明了平凡解的稳定性。

This paper discussed the existence and stability of solutions of a class of delay set-valued differential equations.Firstly,the Leray-Schauder fixed point theorem and Gronwall inequality are used to prove the existence of the solutions of the delay set-valued differential equations;and then,based on it,the stability of the trivial solutions is proved.