Özbekler, Abdullah

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Profile URL
https://hdl.handle.net/20.500.14411/7654
Name Variants
Abdullah, Özbekler
A., Ozbekler
Ozbekler, Abdullah
O., Abdullah
O.,Abdullah
Abdullah, Ozbekler
A.,Ozbekler
Ozbekler,A.
Ö.,Abdullah
Özbekler,A.
A.,Özbekler
Özbekler, Abdullah
Ozbekler, A.
Oezbekler, A.
Job Title
Profesör Doktor
Email Address
abdullah.ozbekler@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former Staff
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ORCID ID
Scopus Author ID
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Google Scholar ID
WoS Researcher ID

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Scholarly Output

42

Articles

39

Views / Downloads

112/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

272

Scopus Citation Count

338

WoS h-index

10

Scopus h-index

11

Patents

0

Projects

0

WoS Citations per Publication

6.48

Scopus Citations per Publication

8.05

Open Access Source

15

Supervised Theses

0

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JournalCount
Mathematical Methods in the Applied Sciences6
Applied Mathematics and Computation4
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas3
Journal of Function Spaces2
Applied Mathematics Letters2
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Author: Zafer, A.Has files: false

Scholarly Output Search Results

Now showing 1 - 8 of 8
  • Thumbnail Image
    Article
    Citation - WoS: 9
    Citation - Scopus: 9
    Nonoscillation and Oscillation of Second-Order Impulsive Differential Equations With Periodic Coefficients
    (Pergamon-elsevier Science Ltd, 2012) Ozbekler, A.; Zafer, A.
    In this paper, we give a nonoscillation criterion for half-linear equations with periodic coefficients under fixed moments of impulse actions. The method is based on the existence of positive solutions of the related Riccati equation and a recently obtained comparison principle. In the special case when the equation becomes impulsive Hill equation new oscillation criteria are also obtained. (C) 2011 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 19
    Citation - Scopus: 21
    Interval Criteria for the Forced Oscillation of Super-Half Differential Equations Under Impulse Effects
    (Pergamon-elsevier Science Ltd, 2009) Ozbekler, A.; Zafer, A.
    In this paper, we derive new interval oscillation criteria for a forced super-half-linear impulsive differential equation having fixed moments of impulse actions. The results are extended to a more general class of nonlinear impulsive differential equations. Examples are also given to illustrate the relevance of the results. (C) 2009 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 22
    Citation - Scopus: 21
    Principal and Nonprincipal Solutions of Impulsive Differential Equations With Applications
    (Elsevier Science inc, 2010) Ozbekler, A.; Zafer, A.
    We introduce the concept of principal and nonprincipal solutions for second order differential equations having fixed moments of impulse actions is obtained. The arguments are based on Polya and Trench factorizations as in non-impulsive differential equations, so we first establish these factorizations. Making use of the existence of nonprincipal solutions we also establish new oscillation criteria for nonhomogeneous impulsive differential equations. Examples are provided with numerical simulations to illustrate the relevance of the results. (C) 2010 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 27
    Citation - Scopus: 29
    Oscillation of Solutions of Second Order Mixed Nonlinear Differential Equations Under Impulsive Perturbations
    (Pergamon-elsevier Science Ltd, 2011) Ozbekler, A.; Zafer, A.
    New oscillation criteria are obtained for second order forced mixed nonlinear impulsive differential equations of the form (r(t)Phi(alpha)(x'))' + q(t)(Phi)(x) + Sigma(n)(k=1)q(k)(t)Phi beta(k)(x ) = e(t), t not equal theta(I) x(theta(+)(i)) = ajx(theta(+)(i)) = b(i)x'(theta(i)) where Phi(gamma):= ,s vertical bar(gamma-1)s and beta(1) > beta(2) > ... > beta(m) > alpha > beta(m+1)> ... > beta(n) > beta(n) > 0. If alpha = 1 and the impulses are dropped, then the results obtained by Sun and Wong [Y.G. Sun, J.S.W. Wong, Oscillation criteria for second order forced ordinary differential equations with mixed nonlinearities, J. Math. Anal. Appl. 334 (2007) 549-560] are recovered. Examples are given to illustrate the results. (C) 2011 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 18
    Citation - Scopus: 20
    Forced Oscillation of Super-Half Impulsive Differential Equations
    (Pergamon-elsevier Science Ltd, 2007) Oezbekler, A.; Zafer, A.
    By using a Picone type formula in comparison with oscillatory unforced half-linear equations, we derive new oscillation criteria for second order forced super-half-linear impulsive differential equations having fixed moments of impulse actions. In the superlinear case, the effect of a damping term is also considered. (c) 2007 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 2
    Picone Type Formula for Non-Selfadjoint Impulsive Differential Equations With Discontinuous Solutions
    (Univ Szeged, Bolyai institute, 2010) Ozbekler, A.; Zafer, A.
    A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Applying the formula, Leighton and Sturm-Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained.
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    Conference Object
    Citation - WoS: 3
    Citation - Scopus: 3
    Forced Oscillation of Second-Order Impulsive Differential Equations With Mixed Nonlinearities
    (Springer, 2013) Ozbekler, A.; Zafer, A.
    In this paper we give new oscillation criteria for a class of second-order mixed nonlinear impulsive differential equations having fixed moments of impulse actions. The method is based on the existence of a nonprincipal solution of a related second-order linear homogeneous equation.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Forced Oscillation of Second-Order Nonlinear Differential Equations With Positive and Negative Coefficients
    (Pergamon-elsevier Science Ltd, 2011) Ozbekler, A.; Wong, J. S. W.; Zafer, A.
    In this paper we give new oscillation criteria for forced super- and sub-linear differential equations by means of nonprincipal solutions. (c) 2011 Elsevier Ltd. All rights reserved.