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

Projects

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: true

Scholarly Output Search Results

Now showing 1 - 6 of 6
  • Thumbnail Image
    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.
  • Thumbnail Image
    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: 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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    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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    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: 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; Eymen Kuş, M.
    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.