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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ORCID ID
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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

Patents

0

Projects

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, Sibel Dogru

Scholarly Output Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Existence of Solutions for Odd-Order Multi-Point Impulsive Boundary Value Problems on Time Scales
    (Walter de Gruyter Gmbh, 2022) Georgiev, Svetlin G.; Akgol, Sibel Dogru; Kus, Murat Eymen
    Using a fixed point theorem due to Schaefer, the existence of solutions for an odd-order m-point impulsive boundary value problem on time scales is obtained. The problem considered is of general form, where both the differential equation and the impulse effects are nonlinear. Illustrative examples are provided.
  • Thumbnail Image
    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.
  • Thumbnail Image
    Article
    Citation - Scopus: 3
    De La Vallee Poussin Inequality for Impulsive Differential Equations
    (Walter de Gruyter Gmbh, 2021) Akgol, Sibel Dogru; Ozbekler, Abdullah
    The de la Vallee Poussin inequality is a handy tool for the investigation of disconjugacy, and hence, for the oscillation/nonoscillation of differential equations. The results in this paper are extensions of former those of Hartman and Wintner [Quart. Appl. Math. 13 (1955), 330-332] to the impulsive differential equations. Although the inequality first appeared in such an early date for ordinary differential equations, its improved version for differential equations under impulse effect never has been occurred in the literature. In the present study, first, we state and prove a de la Vallee Poussin inequality for impulsive differential equations, then we give some corollaries on disconjugacy. We also mention some open problems and finally, present some examples that support our findings. (C) 2021 Mathematical Institute Slovak Academy of Sciences
  • Thumbnail Image
    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
    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.