Doğru Akgöl, Sibel

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Profile URL
https://hdl.handle.net/20.500.14411/6716
Name Variants
S.,Dogru Akgol
D.,Sibel
S., Doğru Akgöl
Dogru Akgol,S.
D., Sibel
Akgöl S.
Doğru Akgöl,S.
Sibel, Doğru Akgöl
Doğru Akgöl S.
S.,Doğru Akgöl
Sibel, Dogru Akgol
Doğru Akgöl, Sibel
Sibel Doğru Akgöl
Dogru Akgol, Sibel
Dogru Akgol,Sibel
D. A. Sibel
Akgol S.
S., Dogru Akgol
D.A.Sibel
Doğru, Akgöl
Akgol, Sibel
Akgol, S. D.
Akgol, Sibel Dogru
Akgol, Sibel D.
Akgol, S. Dogru
Akgöl, Sibel Doğru
Akgöl,S.D.
Job Title
Doktor Öğretim Üyesi
Email Address
sibel.dogruakgol@atilim.edu.tr
Main Affiliation
Mathematics
Status
Website
https://www.atilim.edu.tr/tr/math/page/1699/akademik-personel
ORCID ID
0000-0003-3513-1046
Scopus Author ID
57195267165
Turkish CoHE Profile ID
126905
Google Scholar ID
1ZPqA5EAAAAJ
WoS Researcher ID
AAL-5957-2020

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20

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48

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20

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Scholarly Output

16

Articles

14

Views / Downloads

11/0

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

34

Scopus Citation Count

37

Patents

0

Projects

0

WoS Citations per Publication

2.13

Scopus Citations per Publication

2.31

Open Access Source

5

Supervised Theses

1

JournalCount
Mathematical Methods in the Applied Sciences2
Applied Mathematics and Computation1
Applied Mathematics Letters1
Bulletin of the Australian Mathematical Society1
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics1
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Now showing 1 - 10 of 16
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Asymptotic Equivalence of Impulsive Dynamic Equations on Time Scales
    (Hacettepe Univ, Fac Sci, 2023) Akgol, Sibel Dogru
    The asymptotic equivalence of linear and quasilinear impulsive dynamic equations on time scales, as well as two types of linear equations, are proven under mild conditions. To establish the asymptotic equivalence of two impulsive dynamic equations a method has been developed that does not require restrictive conditions, such as the boundedness of the solutions. Not only the time scale extensions of former results have been obtained, but also improved for impulsive differential equations defined on the real line. Some illustrative examples are also provided, including an application to a generalized Duffing equation.
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    Master Thesis
    Zaman Skalalarında Yüksek Mertebeden Çok Noktalı İmpalsif Sınır Değer Problemlerinin Çözümlerinin Varlığı
    (2022) Kuş, Murat Eymen; Akgöl, Sibel Doğru; Georgıev, Svetlin G.
    Bu tezde, çok noktalı yüksek mertebeden impalsif sınır değer problemlerinin zaman skalalarında çözümlerinin bulunması için yeterli koşulları araştırdık. Özellikle, üçüncü mertebeden impalsif sınır değer problemlerinin bir sınıfı ve 2n + 1, n ≥ 1 mertebeden bir impalsif sınır değer problemi sınıfı incelenmiştir. Bölüm 1'de zaman skalası ve bazı ilgili kavramların tanımları ile birlikte örnekler verilmiştir. Sonrasında tezde kullanılan sabit nokta teoremleri verilmiştir. Bölüm 2, üçüncü mertebeden çok noktalı dinamik impalsif sınır değer problemlerinin çözümlerinin varlığına ayrılmıştır. Bölüm 3'de tek sayı mertebeli çok noktalı dinamik impalsif sınır değer problemlerinin çözümlerinin varlığına odaklanılmıştır. Son olarak, Bölüm 4'te kısa bir sonuc¸ verilmiştir. Bu tezdeki sonuçların bir kısmı Georgian Mathematical Journal dergisinde basılmış, bir kısmı da Miskolc Mathematical Notes dergisinde basılmak üzere kabul edilmiştir.
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    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: 4
    Citation - Scopus: 3
    Boundary Value Problems on Half-Line for Second-Order Nonlinear Impulsive Differential Equations
    (Wiley, 2018) Akgol, S. D.; Zafer, A.
    We obtain sufficient conditions for existence and uniqueness of solutions of boundary value problems on half-line for a class of second-order nonlinear impulsive differential equations. Our technique is different than the traditional ones, as it is based on asymptotic integration method involving principal and nonprincipal solutions. Examples are provided to illustrate the relevance of the results.
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    Article
    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.
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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: 2
    Citation - Scopus: 1
    Oscillation of Impulsive Linear Differential Equations With Discontinuous Solutions
    (Cambridge University Press, 2023) Doǧru Akgöl,S.; Akgol, Sibel Dogru
    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.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Principal and Nonprincipal Solutions of Impulsive Dynamic Equations: Leighton and Wong Type Oscillation Theorems
    (Springer, 2023) Zafer, A.; Akgol, S. Dogru; Doğru Akgöl, S.
    Principal and nonprincipal solutions of differential equations play a critical role in studying the qualitative behavior of solutions in numerous related differential equations. The existence of such solutions and their applications are already documented in the literature for differential equations, difference equations, dynamic equations, and impulsive differential equations. In this paper, we make a contribution to this field by examining impulsive dynamic equations and proving the existence of such solutions for second-order impulsive dynamic equations. As an illustration, we prove the famous Leighton and Wong oscillation theorems for impulsive dynamic equations. Furthermore, we provide supporting examples to demonstrate the relevance and effectiveness of the results.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Prescribed Asymptotic Behavior of Nonlinear Dynamic Equations Under Impulsive Perturbations
    (Springer Basel Ag, 2024) Zafer, Agacik; Dogru Akgol, Sibel
    The asymptotic integration problem has a rich historical background and has been extensively studied in the context of ordinary differential equations, delay differential equations, dynamic equations, and impulsive differential equations. However, the problem has not been explored for impulsive dynamic equations due to the lack of essential tools such as principal and nonprincipal solutions, as well as certain compactness results. In this work, by making use of the principal and nonprincipal solutions of the associated linear dynamic equation, recently obtained in [Acta Appl. Math. 188, 2 (2023)], we investigate the asymptotic integration problem for a specific class of nonlinear impulsive dynamic equations. Under certain conditions, we prove that the given impulsive dynamic equation possesses solutions with a prescribed asymptotic behavior at infinity. These solutions can be expressed in terms of principal and nonprincipal solutions as in differential equations. In addition, the necessary compactness results are also established. Our findings are particularly valuable for better understanding the long-time behavior of solutions, modeling real-world problems, and analyzing the solutions of boundary value problems on semi-infinite intervals.
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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.