Existence conditions for 2-periodic solutions to a non-homogeneous differential equations with piecewise constant argument

Existence conditions for 2-periodic solutions to a non-homogeneous differential equations with piecewise constant argument

This paper provides a method of finding 2-periodical solutions for the first-order non-homogeneous differential equations with piecewise constant arguments. All existence conditions are described for 2-periodical solutions and obtained explicit formula for these solutions. An example for the problem...

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Veröffentlicht in:Examples and counterexamples 2024-06, Vol.5, p.100145, Article 100145
Hauptverfasser: Muminov, Mukhiddin I., Radjabov, Tirkash A.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equation
Periodic solution
Piecewise constant argument
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Beschreibung
Zusammenfassung:This paper provides a method of finding 2-periodical solutions for the first-order non-homogeneous differential equations with piecewise constant arguments. All existence conditions are described for 2-periodical solutions and obtained explicit formula for these solutions. An example for the problem that has infinitely many solutions is constructed.
ISSN:2666-657X
2666-657X
DOI:10.1016/j.exco.2024.100145