On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation

Ahmed El-Sayed, Eman Hamdallah and Hanaa Ebead
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Ahmed El-Sayed: Faculty of Science, Alexandria University, Alexandria 21500, Egypt
Eman Hamdallah: Faculty of Science, Alexandria University, Alexandria 21500, Egypt
Hanaa Ebead: Faculty of Science, Alexandria University, Alexandria 21500, Egypt

Mathematics, 2021, vol. 9, issue 21, 1-12

Abstract: In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral condition will also be considered. Some examples will be provided to illustrate our results.

Keywords: state-dependence; solutions; integral boundary condition; infinite-point boundary condition; examples (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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