TY  - JOUR
T1  - Modulo periodic Poisson stable solutions of dynamic equations on a time scale
AU  - Fen, Mehmet Onur
AU  - Tokmak Fen, Fatma
PY  - 2023
DA  - December
Y2  - 2023
DO  - 10.31801/cfsuasmas.1220565
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 907
EP  - 920
VL  - 72
IS  - 4
LA  - en
AB  - 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 constructed 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.
KW  - Modulo periodic Poisson stability
KW  - dynamic equations
KW  - impulsive differential equations
KW  - periodic time scale
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UR  - https://doi.org/10.31801/cfsuasmas.1220565
L1  - https://dergipark.org.tr/en/download/article-file/2837979
ER  -