Akgöl, Sibel Doğru

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Now showing 1 - 3 of 3

Citation - WoS: 2
Citation - Scopus: 1
Oscillation of Impulsive Linear Differential Equations With Discontinuous Solutions
(Cambridge University Press, 2023) Doǧru Akgöl,S.
Sufficient conditions are obtained for the oscillation of a general form of a linear second-order differential equation with discontinuous solutions. The innovations are that the impulse effects are in mixed form and the results obtained are applicable even if the impulses are small. The novelty of the results is demonstrated by presenting an example of an oscillating equation to which previous oscillation theorems fail to apply. © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
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.
Citation - Scopus: 3
De La Vallee Poussin Inequality for Impulsive Differential Equations
(Walter de Gruyter Gmbh, 2021) Akgol, Sibel Dogru; Ozbekler, Abdullah
The de la Vallee Poussin inequality is a handy tool for the investigation of disconjugacy, and hence, for the oscillation/nonoscillation of differential equations. The results in this paper are extensions of former those of Hartman and Wintner [Quart. Appl. Math. 13 (1955), 330-332] to the impulsive differential equations. Although the inequality first appeared in such an early date for ordinary differential equations, its improved version for differential equations under impulse effect never has been occurred in the literature. In the present study, first, we state and prove a de la Vallee Poussin inequality for impulsive differential equations, then we give some corollaries on disconjugacy. We also mention some open problems and finally, present some examples that support our findings. (C) 2021 Mathematical Institute Slovak Academy of Sciences

Journal	Count
Acta Applicandae Mathematicae	1
Applied Mathematics and Computation	1
Bulletin of the Australian Mathematical Society	1
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics	1
Dynamic Calculus and Equations on Time Scales	1

Akgöl, Sibel Doğru

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Scholarly Output

13

Articles

11

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3/0

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1

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0

WoS Citation Count

21

Scopus Citation Count

26

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2

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3

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0

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0

WoS Citations per Publication

1.62

Scopus Citations per Publication

2.00

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5

Supervised Theses

1

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