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

Citations

48

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Documents

20

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44

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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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  • Thumbnail Image
    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.
  • 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: 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.