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

Citations

44

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Scholarly Output

16

Articles

14

Views / Downloads

37/931

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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Subject: Impulse

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Now showing 1 - 2 of 2
  • 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.
  • Thumbnail Image
    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.