ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM

Mohammed Abdou; Abdelkrim Soliman; Mohammed Abdel-Aty

doi:10.11948/20190279

2020 Volume 10 Issue 4

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Mohammed Abdou, Abdelkrim Soliman, Mohammed Abdel-Aty. ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1588-1598. doi: 10.11948/20190279

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Mohammed Abdou, Abdelkrim Soliman, Mohammed Abdel-Aty. ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1588-1598. doi: 10.11948/20190279

ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM

1.
Department of Mathematics, Faculty of Education, Alexandria University, Alexandria 21511, Egypt
2.
Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

Corresponding author: [email protected](M. A. Abdel-CAty)

Abstract

Abstract

In the present paper, we are concerning with a quadratic integral equation with phase-lag term. In the following pages, sufficient conditions are given for the existence of positive continuous solution to quadratic integral equations. The method used here depends on both Tychonoff fixed point principle and Arzelà-Ascoli theorem. A concrete example illustrating the mentioned applicability is also included.
- Quadratic integral equation /
- phase-lag /
- Tychonoff fixed point theorem /
- Banach space /
- fixed point theorem
MSC: 45G10, 46B50, 47H10

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References

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