Solvability of a boundary value problem of self-reference functional differential equation with infinite point and integral conditions

Volume 21, Issue 4, pp 296--308 http://dx.doi.org/10.22436/jmcs.021.04.03

Publication Date: May 05, 2020 Submission Date: March 23, 2019 Revision Date: March 26, 2020 Accteptance Date: April 08, 2020

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Authors

A. M. A. El-Sayed - Faculty of Science, Alexandria University, Egypt. H. El-Owaidy - Faculty of Science, Al-Azhar University, Cairo, Egypt. Reda Gamal Ahmed - Faculty of Science, Al-Azhar University, Cairo, Egypt.

Abstract

The existence of solutions of a boundary value problem of self-reference functional differential equation with infinite point and integral conditions will be studied. Some properties of solution will be given. Two examples to illustrate main results.

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Keywords

• Self-reference
• infinite point
• nonlocal problem
• continuous dependence

MSC

•  34K10
•  34B18
•  34B15
•  34B10
•  34D20

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