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Analytical study of some self-referred or state dependent functional equations


Abstract

In this paper, we consider some self reference or state dependent functional equations. Also, we shall discuses a continuous dependence of the solutions of that functional equations on the delay functions.

Розглянуто деякі самопосилаючі або залежні за станом функціональні рівняння, та неперервна залежність розв’язків цього функціонального рівняння від функції затримки.

Key words: State dependent functional equation; Continuous solutions; Continuous dependence of solution on state arguments.


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Article Information

TitleAnalytical study of some self-referred or state dependent functional equations
SourceMethods Funct. Anal. Topology, Vol. 28 (2022), no. 1, 50-57
MathSciNet   MR4459183
Milestones  Received 03/12/2021; Revised 24/03/2022
CopyrightThe Author(s) 2022 (CC BY-SA)

Authors Information

Ahmed M.A. El-Sayed
Department of Mathematics, Faculty of Science Alexandria University, Alexandria, Egypt

Hind H.G. Hashem
Department of Mathematics, Faculty of Science Alexandria University, Alexandria, Egypt

Shorouk M. Al-Issa
Faculty of Arts and Sciences, Department of Mathematics, Lebanese International University, Saida, Lebanon
Faculty of Arts and Sciences, Department of Mathematics, The International University of Beirut, Beirut, Lebanon


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Citation Example

Ahmed M.A. El-Sayed, Hind H.G. Hashem, and Shorouk M. Al-Issa, Analytical study of some self-referred or state dependent functional equations, Methods Funct. Anal. Topology 28 (2022), no. 1, 50-57.


BibTex

@article {MFAT1725,
    AUTHOR = {Ahmed M.A. El-Sayed and Hind H.G. Hashem and Shorouk M. Al-Issa},
     TITLE = {Analytical study of some self-referred or state dependent functional equations},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {28},
      YEAR = {2022},
    NUMBER = {1},
     PAGES = {50-57},
      ISSN = {1029-3531},
  MRNUMBER = {MR4459183},
       URL = {http://mfat.imath.kiev.ua/article/?id=1725},
}


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