R上Lebesgue可积函数空间中摄动泛函积分方程解的存在性

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/RF.2018.2

W. Sayed, Prof. Dr. Mohamed Abdalla Darwish

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引用次数: 5

摘要

本文利用Darbo不动点定理，研究了与R+上Lebesgue可积函数空间非紧性测度有关的卷积型微扰泛函积分方程解的存在性。最后，通过实例验证了抽象结果的适用性。AMS学科分类:45G10、45M99、47H09。

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On the existence of solutions of a perturbed functional integral equation in the space of Lebesgue integrable functions on R

In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo’s fixed point theorem, which is associated with the measure of noncompactness in the space of Lebesgue integrable functions on R+. Finally, we offer an example to demonstrate that our abstract result is applicable. AMS Subject Classification: 45G10, 45M99, 47H09.

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Journal of Mathematics and Applications

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