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Existence Theorems of Global Solutions of Initial Value Problems for Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces and Applications

机译:Banach空间中混合型非线性积分微分方程初值问题整体解的存在性定理及其应用。

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This paper investigates the existence of global solutions for initial value problems of the nonlinear integrodifferential equations in Banach spaces. We obtain the existence of global solutions by Schauder's fixed-point theorem. Our results are the generalizations and improvements of recent results. As applications of our results, the existence of global solutions of two classes of third-order mixed boundary value problem is obtained, and an example of infinite system for nonlinear integrodifferential equations is worked out to illustrate our main results.
机译:本文研究了Banach空间中非线性积分微分方程初值问题的整体解的存在性。我们通过肖特的不动点定理获得了整体解的存在。我们的结果是对最近结果的概括和改进。作为结果的应用,得到了两类三阶混合边值问题的整体解,并以一个非线性积分微分方程的无穷大例子为例来说明我们的主要结果。

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