Abstract
Existence of solutions of a functional differential equation where
the sate depends on its derivative will be studied. Uniqueness of
the solution will be analyzed and continuous dependence of the
unique solution will be proved. Some examples will be given.
Буде вивчено існування розв'язків
функціонально-диференціального рівняння, стан якого залежить від
його похідної. Буде проаналізована єдиність розв'язку і доведено
неперервну залежність єдиного розв'язку. Наведені деякі приклади.
Key words: Functional equations, sate–dependent, existence of solutions, continuous solutions, continuous dependence.
Full Text
Article Information
| Title | Solvability of nonlinear functional differential equations
with state-dependent derivatives |
| Source | Methods Funct. Anal. Topology, Vol. 29 (2023), no. 1-2, 30-38 |
| DOI | 10.31392/MFAT-npu26_1–2.2023.03 |
| MathSciNet |
MR4753766 |
| Copyright | The Author(s) 2023 (CC BY-SA) |
Authors Information
A. M. A. El-Sayed
Faculty of Science, Alexandria University, Egypt
Reda Gama
Faculty of Science, Al-Azhar University, Cairo, Egypt
H. R. Ebead
Faculty of Science, Alexandria University, Egypt
Citation Example
A. M. A. El-Sayed, Reda Gama, and H. R. Ebead, Solvability of nonlinear functional differential equations
with state-dependent derivatives, Methods Funct. Anal. Topology 29
(2023), no. 1, 30-38.
BibTex
@article {MFAT1909,
AUTHOR = {A. M. A. El-Sayed and Reda Gama and H. R. Ebead},
TITLE = {Solvability of nonlinear functional differential equations
with state-dependent derivatives},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {29},
YEAR = {2023},
NUMBER = {1},
PAGES = {30-38},
ISSN = {1029-3531},
MRNUMBER = {MR4753766},
DOI = {10.31392/MFAT-npu26_1–2.2023.03},
URL = {http://mfat.imath.kiev.ua/article/?id=1909},
}
