Akgöl, Sibel Doğru

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Profile URL
https://hdl.handle.net/20.500.14411/8399
Name Variants
Akgol, S. Dogru
Akgol, Sibel D.
Akgol,S.D.
S.D.Akgol
A.,Sibel Dogru
Akgöl,S.D.
S.,Akgöl
Akgol, Sibel Dogru
A.,Sibel Doğru
A., Sibel Dogru
Akgöl, Sibel Doğru
S., Akgol
Sibel Dogru, Akgol
Sibel Doğru, Akgöl
S.D.Akgöl
Job Title
Doktor Öğretim Üyesi
Email Address
sibel.dogruakgol@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former Staff
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WoS Researcher ID

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Scholarly Output

13

Articles

11

Views / Downloads

27/837

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

21

Scopus Citation Count

26

Patents

0

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0

WoS Citations per Publication

1.62

Scopus Citations per Publication

2.00

Open Access Source

5

Supervised Theses

1

JournalCount
Acta Applicandae Mathematicae1
Applied Mathematics and Computation1
Bulletin of the Australian Mathematical Society1
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics1
Dynamic Calculus and Equations on Time Scales1
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Start date: 2018Has files: false

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Now showing 1 - 7 of 7
  • Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Asymptotic Representation of Solutions for Second-Order Impulsive Differential Equations
    (Elsevier Science inc, 2018) Akgol, S. Dogru; Zafer, A.; Doğru Akgöl, S.
    We obtain sufficient conditions which guarantee the existence of a solution of a class of second order nonlinear impulsive differential equations with fixed moments of impulses possessing a prescribed asymptotic behavior at infinity in terms of principal and nonprincipal solutions. An example is given to illustrate the relevance of the results. (C) 2018 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Existence of Solutions for Odd-Order Multi-Point Impulsive Boundary Value Problems on Time Scales
    (Walter de Gruyter Gmbh, 2022) Georgiev, Svetlin G.; Akgol, Sibel Dogru; Kus, Murat Eymen; Doǧru Akgöl, Sibel; Eymen Kuş, Murat
    Using a fixed point theorem due to Schaefer, the existence of solutions for an odd-order m-point impulsive boundary value problem on time scales is obtained. The problem considered is of general form, where both the differential equation and the impulse effects are nonlinear. Illustrative examples are provided.
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    Article
    Citation - WoS: 1
    Existence of Solutions for Impulsive Boundary Value Problems on Infinite Intervals
    (Ankara Univ, Fac Sci, 2023) Akgöl, Sibel Doğru; Dogru Akgol, Sibel
    The paper deals with the existence of solutions for a general class of second-order nonlinear impulsive boundary value problems defined on an infinite interval. The main innovative aspects of the study are that the results are obtained under relatively mild conditions and the use of principal and nonprincipal solutions that were obtained in a very recent study. Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example.
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    Article
    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.
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    Book Part
    De La Vallée Poussin-type inequality for impulsive dynamic equations on time scales
    (De Gruyter, 2023) Akgöl,S.D.; Özbekler,A.
    We derive a de La Vallée Poussin-type inequality for impulsive dynamic equations on time scales. This inequality is often used in conjunction with disconjugacy and/or (non)oscillation. Hence, it appears to be a very useful tool for the qualitative study of dynamic equations. In this work, generalizing the classical de La Vallée Poussin inequality for impulsive dynamic equations on arbitrary time scales, we obtain a dis-conjugacy criterion and some results on nonoscillation. We also present illustrative examples that support our findings. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.
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    Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Prescribed asymptotic behavior of second-order impulsive differential equations via principal and nonprincipal solutions
    (Academic Press inc Elsevier Science, 2021) Akgol, S. Dogru; Zafer, A.; Doğru Akgöl, S.
    Finding solutions with prescribed asymptotic behavior is a classical problem for differential equations, which is also known as the asymptotic integration problem for differential equations. Very recent results have revealed that the problem is closely related to principal and nonprincipal solutions of a related homogeneous linear differential equation. Such solutions for second-order linear differential equations without impulse effects, first appeared in [W. Leighton, M. Morse, Trans. Amer. Math. Soc. 40 (1936), 252-286]. In the present work we first establish the concept of principal and nonprincipal solutions for second-order linear impulsive differential equations, and then use them to prove the existence of solutions for a class of second-order nonlinear impulsive differential equations, with prescribed asymptotic behavior at infinity in terms of a linear combination of these principal and nonprincipal solutions. Examples and numerical simulations are provided to illustrate the obtained results. (c) 2021 Elsevier Inc. All rights reserved.
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    Article
    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