Abstract

The aim of the present paper is to study the existence and asymptotic behavior of the solutions of some functional integral equations which contain a number of classical nonlinear integral equations as special cases. The main tools used in our considerations are the concept of a measure of noncompactness and the classical Schauder fixed point principle. The investigations of the paper are placed in the space of continuous and tempered functions on the real half-line. The applicability of the results is illustrated by examples.

中文翻译：

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连续调和函数空间中一些非线性Volterra-Fredholm积分方程的存在定理

摘要

本文的目的是研究一些函数积分方程的解的存在性和渐近行为，这些方程包含一些作为特殊情况的经典非线性积分方程。在我们的考虑中使用的主要工具是非紧性度量的概念和经典的 Schauder 不动点原理。论文的考察放在实半线上的连续函数和调和函数的空间中。实例说明了结果的适用性。