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Mert, Raziye

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https://hdl.handle.net/20.500.12416/9283
Name Variants
Mert, R.
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Yrd. Doç. Dr.
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Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
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Former Staff
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Scholarly Output

11

Articles

11

Views / Downloads

23/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

57

Scopus Citation Count

68

WoS h-index

5

Scopus h-index

5

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0

Projects

0

WoS Citations per Publication

5.18

Scopus Citations per Publication

6.18

Open Access Source

4

Supervised Theses

0

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JournalCount
Journal of Difference Equations and Applications2
Applied Mathematics and Computation1
Communications in Applied Analysis1
Computers & Mathematics with Applications1
Czechoslovak Mathematical Journal1
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Now showing 1 - 10 of 11
  • Thumbnail Image
    Article
    Citation - WoS: 7
    Citation - Scopus: 10
    Oscillation of Higher-Order Neutral Dynamic Equations on Time Scales
    (Springeropen, 2012) Mert, Raziye
    In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an nth-order neutral dynamic equation with distributed deviating arguments. The arguments are based on Taylor monomials on time scales. 2000 Mathematics Subject Classification: 34K11; 39A10; 39A99.
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    Article
    On the Oscillation of Solutions of a Nonlinear Dynamic System on Time Scales
    (2012) Erbe, L.; Mert, Raziye; Mert, R.; Matematik
    We study the oscillation properties of a system of two first-order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential and difference equations and many of its extensions. We provide a corrected formulation of some earlier oscillation results as well as providing some new oscillation criteria. © Dynamic Publishers, Inc.
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    Article
    Citation - Scopus: 3
    Oscillation for a Nonlinear Dynamic System on Time Scales
    (2011) Mert, R.; Erbe, L.
    We study the oscillation properties of a system of two first-order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential and difference equations and many of its extensions. We generalize some well-known results of Atkinson, Belohorec, Waltman, Hooker, Patula and others and also describe the relation to solutions of a delay-dynamic system. © 2011 Taylor & Francis.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    A Halanay-Type Inequality on Time Scales in Higher Dimensional Spaces
    (Element, 2014) Erbe, Lynn; Mert, Raziye; Jia, Baoguo
    In this paper, we investigate a certain class of Halanay-type inequalities on time scales in higher dimensional spaces. By means of the obtained inequality, we derive some new global stability conditions for linear delay dynamic systems on time scales. An example is given to illustrate the results.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 7
    A Necessary and Sufficient Condition for Oscillation of Second Order Sublinear Delay Dynamic Equations
    (Amer inst Mathematical Sciences-aims, 2011) Mert, RazIye; Mert, Raziye; Zafer, Agacik; Matematik
    Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation of a class of second order sublinear delay dynamic equations on time scales. Some well known results in the literature are improved and extended.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    On Disconjugacy and Stability Criteria for Discrete Hamiltonian Systems
    (Pergamon-elsevier Science Ltd, 2011) Zafer, A.; Mert, R.
    By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic. (C) 2011 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 15
    Citation - Scopus: 15
    Spectral Parameter Power Series for Sturm-Liouville Equations on Time Scales
    (Elsevier Science inc, 2012) Mert, Raziye; Peterson, Allan; Erbe, Lynn
    We will derive formulas for finding two linearly independent solutions of the Sturm-Liouville dynamic equation. We will give several examples. In particular, the q-difference equation which has important applications in quantum theory will be presented. (C) 2012 Elsevier Inc. All rights reserved.
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    Article
    Comparison Theorems for Even Order Dynamic Equations on Time Scales
    (Dynamic Publishers, inc, 2014) Jia Baoguo; Mert, Raziye; Erbe, Lynn; Mert, Raziye; Matematik
    Consider the following pair of even order linear dynamic equations on a time scale (0.1) x(Delta n)(t) + p(t)x(t) = 0, (0.2) x(Delta n)(t) + q(t)x(t) = 0, where p, q is an element of C-rd(T,R+), n is even, T is a time scale. In this paper, we obtain some point-wise and integral comparison theorems for the above equations. These will be shown to be "sharp" by means of specific examples.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 18
    Oscillation of Even Order Nonlinear Delay Dynamic Equations on Time Scales
    (Springer Heidelberg, 2013) Mert, Raziye; Peterson, Allan; Zafer, Agacik; Erbe, Lynn
    One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales.
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    Article
    Citation - WoS: 1
    Time Scale Extensions of a Theorem of Wintner on Systems With Asymptotic Equilibrium
    (Taylor & Francis Ltd, 2011) Zafer, A.; Mert, R.
    We consider quasilinear dynamic systems of the form[image omitted]where is a time scale, and provide extensions of a theorem of Wintner on systems with asymptotic equilibrium to arbitrary time scales. More specifically, we give sufficient conditions for the asymptotic equilibrium of the above system in the sense that for any given constant vector c, there is a solution satisfying[image omitted] Our results are new for difference equations, q-difference equations and many other time scale systems even though their analogous for differential equations have been known for some time.