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

Author

Listed:
  • Ahmed El-Sayed

    (Faculty of Science, Alexandria University, Alexandria 21500, Egypt
    These authors contributed equally to this work.)

  • Eman Hamdallah

    (Faculty of Science, Alexandria University, Alexandria 21500, Egypt
    These authors contributed equally to this work.)

  • Hanaa Ebead

    (Faculty of Science, Alexandria University, Alexandria 21500, Egypt
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Ahmed El-Sayed & Eman Hamdallah & Hanaa Ebead, 2021. "On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation," Mathematics, MDPI, vol. 9(21), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2800-:d:672228
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