urysohn-stieltjes泛函积分方程的弱解

International journal of pure and applied mathematics Pub Date : 2018-04-22 DOI:10.12732/IJAM.V31I2.8

A. El-Sayed, M. M. Al-Fadel

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引用次数: 2

摘要

在[1]中研究了Urysohn-Stieltjes积分算子的分析。本文研究了Urysohn-Stieltjes型和Hammerstien-Stieltjes型泛函积分方程在自反Banach空间e中弱解的存在性，并证明了弱极大解和弱极小解的存在性。AMS学科分类:26A42、35D30、47H30

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ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS

The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E. Also, we prove the existence of the weak maximal and weak minimal solutions. AMS Subject Classification: 26A42, 35D30, 47H30

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International journal of pure and applied mathematics

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