一类强非线性积微分方程的解

摘要

讨论一类强非线性积微分方程解的存在性和唯一性.应用单调算子理论和带时滞的Gronwall不等式,证明了一类含单调非线性算子和非单调扰动的积微分方程解的存在性和唯一性.%In this paper, existence and uniqueness of solutions of strongly nonlinear integro-differential equations are considered. The equations contain a nonlinear monotone operator and nonlinear nonmonotone perturbation. The existence and uniqueness results of solutions are obtained by using the theory of monotone operators and Gronwall lemma with delay.