Geodesic
Nonautonomous impulsive differential equations of alternately advanced and retarded type
Filomat, Tome 37 (2023) no. 23, p. 7813

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DOI

A variation of parameters formula and Gronwall type integral inequality are proved for an impulsive differential equation involving piecewise alternately advanced and retarded argument. At the same time, we study its oscillation and asymptotic stability properties. Our results are new, extend and improve earlier ones. Several numerical examples and simulations are also given to show the feasibility of our results.
DOI : 10.2298/FIL2323813C
Classification : 34A37, 34K11, 34K20, 26D10
Keywords: Impulsive differential equation, alternately advanced and retarded argument, variation of parameters formula, Gronwall integral inequality, oscillation, stability 
Kuo-Shou Chiu; Isabel Berna Sepúlveda. Nonautonomous impulsive differential equations of alternately advanced and retarded type. Filomat, Tome 37 (2023) no. 23, p. 7813 . doi: 10.2298/FIL2323813C
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     title = {Nonautonomous impulsive differential equations of alternately advanced and retarded type},
     journal = {Filomat},
     pages = {7813 },
     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323813C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323813C/}
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