Geodesic
Existence of solutions for first order impulsive periodic boundary value problems on time scales
Filomat, Tome 37 (2023) no. 10, p. 3029

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DOI

In this paper we study a class of first order impulsive periodic boundary value problems on time scales. We give conditions under which the considered problem has at least one and at least two solutions. The arguments are based upon recent fixed point index theory in cones of Banach spaces for a k-set contraction perturbed by an expansive operator. An example is given to illustrate the obtained result.
DOI : 10.2298/FIL2310029G
Classification : 34B37, 34N05
Keywords: PBVPs, cone, k-set contraction, expansive operator, sum of operators, existence of solutions 
Svetlin G Georgiev; Sibel Doğru Akgöl; M Eymen Kuş. Existence of solutions for first order impulsive periodic boundary value problems on time scales. Filomat, Tome 37 (2023) no. 10, p. 3029 . doi: 10.2298/FIL2310029G
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     author = {Svetlin G Georgiev and Sibel Do\u{g}ru Akg\"ol and M Eymen Ku\c{s}},
     title = {Existence of solutions for first order impulsive periodic boundary value problems on time scales},
     journal = {Filomat},
     pages = {3029 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310029G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310029G/}
}
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