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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Scopus Author ID
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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: Ozbekler, AbdullahSubject: [No Keyword Available]

Scholarly Output Search Results

Now showing 1 - 4 of 4
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    Article
    Citation - WoS: 4
    Citation - Scopus: 6
    On the Oscillation of Even-Order Nonlinear Differential Equations With Mixed Neutral Terms
    (Hindawi Ltd, 2021) Kaabar, Mohammed K. A.; Özbekler, Abdullah; Grace, Said R.; Alzabut, Jehad; Ozbekler, Abdullah; Siri, Zailan; Özbekler, Abdullah; Mathematics; Mathematics
    The oscillation of even-order nonlinear differential equations (NLDiffEqs) with mixed nonlinear neutral terms (MNLNTs) is investigated in this work. New oscillation criteria are obtained which improve, extend, and simplify the existing ones in other previous works. Some examples are also given to illustrate the validity and potentiality of our results.
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    Article
    Sturmian Comparison Theory for Half-Linear and Nonlinear Differential Equations Via Picone Identity
    (Univ Nis, Fac Sci Math, 2017) Ozbekler, Abdullah
    In this paper, Sturmian comparison theory is developed for the pair of second order differential equations; first of which is the nonlinear differential equations of the form (m(t)Phi(beta) (y'))' + Sigma (n) (i = 1) qi(t)Phi(alpha i) (y) = 0 and the second is the half-linear differential equations (k(t)Phi(beta) (x'))' + p(t) Phi(beta) (x) = 0 where Phi(*)(s) = \ s \(*-1)s and alpha(1) > . . .> alpha(m) > beta > alpha(m + 1) > . . . > alpha(n) > 0. Under the assumption that the solution of Eq. (2) has two consecutive zeros, we obtain Sturm-Picone type and Leighton type comparison theorems for Eq. (1) by employing the new nonlinear version of Picone's formula that we derive. Wirtinger type inequalities and several oscillation criteria are also attained for Eq. (1). Examples are given to illustrate the relevance of the results.
  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Lyapunov Type Inequalities for Second Order Sub and Super-Half Differential Equations
    (Dynamic Publishers, inc, 2015) Agarwal, Ravi P.; Ozbekler, Abdullah; Mathematics
    In the case of oscillatory potential, we present a Lyapunov type inequality for second order differential equations of the form (r(t)Phi(beta)(x'(t)))' + q(t)Phi(gamma)(x(t)) = 0, in the sub-half-linear (0 < gamma < beta) and the super-half-linear (0 < beta < gamma < 2 beta) cases where Phi(*)(s) = vertical bar s vertical bar*(-1)s.
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Oscillation Results for a Class of Nonlinear Fractional Order Difference Equations with Damping Term
    (Hindawi Ltd, 2020) Selvam, A. George Maria; Alzabut, Jehad; Jacintha, Mary; Ozbekler, Abdullah
    The paper studies the oscillation of a class of nonlinear fractional order difference equations with damping term of the form Delta[psi(lambda)z(eta) (lambda)] + p(lambda)z(eta) (lambda) + q(lambda)F(Sigma(lambda-1+mu)(s=lambda 0) (lambda - s - 1)((-mu)) y(s)) = , where z(lambda) = a(lambda) + b(lambda)Delta(mu) y(lambda), Delta(mu) stands for the fractional difference operator in Riemann-Liouville settings and of order mu, 0 < mu <= 1, and eta >= 1 is a quotient of odd positive integers and lambda is an element of N lambda 0+1-mu. New oscillation results are established by the help of certain inequalities, features of fractional operators, and the generalized Riccati technique. We verify the theoretical outcomes by presenting two numerical examples.