Modulo periodic Poisson stable solutions of dynamic equations on a time scale

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Atıf İçin Kopyala

FEN F., FEN M. O.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.72, sa.4, ss.907-920, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 72 Sayı: 4
• Basım Tarihi: 2023
• Doi Numarası: 10.31801/cfsuasmas.1220565
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.907-920
• Gazi Üniversitesi Adresli: Evet

Özet

Existence, uniqueness, and asymptotic stability of modulo periodic Poisson stable solutions of dynamic equations on a periodic time scale are investigated. The model under investigation involves a term which is con-structed via a Poisson stable sequence. Novel definitions for Poisson stable as well as modulo periodic Poisson stable functions on time scales are given, and the reduction technique to systems of impulsive differential equations is utilized to achieve the main result. An example which confirms the theoretical results is provided.