Browsing by Author "Kus, M. Eymen"

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Citation - WoS: 1
Citation - Scopus: 2
Existence of Solutions for First Order Impulsive Periodic Boundary Value Problems on Time Scales
(Univ Nis, Fac Sci Math, 2023) Georgiev, Svetlin G.; Akgol, Sibel Dogru; Kus, M. Eymen
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.
Citation - WoS: 1
Citation - Scopus: 2
Existence of Solutions for Third Order Multi Point Impulsive Boundary Value Problems on Time Scales
(Univ Miskolc inst Math, 2022) Georgiev, Svetlin G.; Akgol, Sibel D.; Kus, M. Eymen
In this paper, we obtain sufficient conditions for existence of solutions of a third order m-point impulsive boundary value problem on time scales. To the best of our knowledge, there is hardly any work dealing with third order multi point dynamic impulsive BVPs. The reason may be the complex arguments caused by both impulsive perturbations and calculations on time scales. As an application, we give an example demonstrating our results.