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

3/0

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

21

Scopus Citation Count

26

WoS h-index

2

Scopus h-index

3

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0

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0

WoS Citations per Publication

1.62

Scopus Citations per Publication

2.00

Open Access Source

5

Supervised Theses

1

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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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Author: Akgol, S. DogruStart date: 2020

Scholarly Output Search Results

Now showing 1 - 2 of 2
  • 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
    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: 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.
    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.