Browsing by Author "Akgol, Sibel D."

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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.
Citation - WoS: 1
Citation - Scopus: 1
Wong Type Oscillation Criteria for Nonlinear Impulsive Differential Equations
(Wiley, 2023) Akgol, Sibel D.; Zafer, Agacik
We present Wong-type oscillation criteria for nonlinear impulsive differential equations having discontinuous solutions and involving both negative and positive coefficients. We use a technique that involves the use of a nonprincipal solution of the associated linear homogeneous equation. The existence of principal and nonpricipal solutions was recently obtained by the present authors. As in special cases, we have superlinear and sublinear Emden-Fowler equations under impulse effects. It is shown that the oscillatory behavior may change due to impulses. An example is also given to illustrate the importance of the results.