Özbekler, Abdullah

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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.
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Profesör Doktor
Email Address
abdullah.ozbekler@atilim.edu.tr
Main Affiliation
Mathematics
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Former Staff
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Scholarly Output

42

Articles

39

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1/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

272

Scopus Citation Count

338

WoS h-index

10

Scopus h-index

11

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0

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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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End date: 2023Subject: Impulse

Scholarly Output Search Results

Now showing 1 - 9 of 9
  • Thumbnail Image
    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: 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: 2
    Citation - Scopus: 4
    A Sturm Comparison Criterion for Impulsive Hyperbolic Equations
    (Springer-verlag Italia Srl, 2020) Ozbekler, Abdullah; Isler, Kubra Uslu
    In this paper, we investigate the Sturmian comparison theory for hyperbolic equations with fixed moments of effects. The results obtained extend the results of those existing in the literature for Sturmian comparison theory on ordinary and impulsive differential equations to impulsive hyperbolic equations.
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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 - Scopus: 5
    Picone Type Formula for Non-Selfadjoint Impulsive Differential Equations With Discontinuous Solutions
    (University of Szeged, 2010) Özbekler,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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    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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    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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    Review
    Citation - WoS: 3
    Citation - Scopus: 3
    Lyapunov Type Inequalities for Second Order Forced Mixed Nonlinear Impulsive Differential Equations
    (Elsevier Science inc, 2016) Agarwal, Ravi P.; Ozbekler, Abdullah
    In this paper, we present some new Lyapunov and Hartman type inequalities for second order forced impulsive differential equations with mixed nonlinearities: x ''(t) + p(t)vertical bar x(t)vertical bar(beta-1)x(t) + q(t)vertical bar x(t)vertical bar(gamma-1)x(t) = f(t), t not equal theta(i); Delta x'(t) + p(i)vertical bar x(t)vertical bar(beta-1)x(t) + q(i)vertical bar x(t)vertical bar(gamma-1) x(t) = f(i), t = theta(i), where p, q, f are real-valued functions, {p(i)}, {q(i)}, {f(i)} are real sequences and 0 < gamma < 1 < beta < 2. No sign restrictions are imposed on the potential functions p, q and the forcing term f and the sequences {p(i)}, {q(i)}, {f(i)}. The inequalities obtained generalize and complement the existing results for the special cases of this equation in the literature. (C) 2016 Elsevier Inc. All rights reserved.
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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.