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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16

Articles

14

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Supervised MSc Theses

1

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0

WoS Citation Count

34

Scopus Citation Count

37

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0

WoS Citations per Publication

2.13

Scopus Citations per Publication

2.31

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5

Supervised Theses

1

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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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    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.