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1

Analyticity of the Complex Time Scale Exponential

Journal:

Complex Analysis and Operator Theory

Year:

2017

Language:

english

File:

PDF, 457 KB

english, 2017

2

Properties of the Laplace transform on time scales with arbitrary graininess

Bohner, Martin, Guseinov, Gusein Sh., Karpuz, Başak

Journal:

Integral Transforms and Special Functions

Year:

2011

Language:

english

File:

PDF, 177 KB

english, 2011

3

Uniform exponential stability of first-order dynamic equations with several delays

Elena Braverman, Başak Karpuz

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 400 KB

english, 2012

4

Further properties of the Laplace transform on time scales with arbitrary graininess

Bohner, Martin, Guseinov, Gusein Sh., Karpuz, Başak

Journal:

Integral Transforms and Special Functions

Year:

2013

Language:

english

File:

PDF, 145 KB

english, 2013

5

Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 244 KB

english, 2009

6

Erratum to: “Oscillation of forced neutral differential equations with positive and negative coefficients” [Comput. Math. Appl. 54 (2007) 1411–1421]

Başak Karpuz, Özkan Öcalan

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 150 KB

english, 2008

7

Erratum to: “Stability for first-order delay dynamic equations on time scales” [Comput. Math. Appl. 53 (2007) 1820–1831]

Başak Karpuz, Özkan Öcalan

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 197 KB

english, 2008

8

Some oscillation and nonoscillation criteria for neutral delay difference equations with positive and negative coefficients

Journal:

Computers & Mathematics with Applications

Year:

2009

Language:

english

File:

PDF, 781 KB

english, 2009

9

A generalization of Opial’s inequality and applications to second-order dynamic equations

Başak Karpuz, Billûr Kaymakçalan, Özkan Öcalan

Journal:

Differential Equations and Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 174 KB

english, 2010

10

Further oscillation criteria for partial difference equations with variable coefficients

Başak Karpuz, Özkan Öcalan

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 11.75 MB

english, 2010

11

Necessary and sufficient conditions on asymptotic behaviour of solutions of forced neutral delay dynamic equations

Başak Karpuz, Özkan Öcalan

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 611 KB

english, 2009

12

Oscillation of first-order differential equations with retarded arguments

Journal:

Mathematica Slovaca

Year:

2012

Language:

english

File:

PDF, 179 KB

english, 2012

13

On oscillation of differential and difference equations with non-monotone delays

Elena Braverman, Başak Karpuz

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 244 KB

english, 2011

14

On stability of delay difference equations with variable coefficients: successive products tests

Elena Braverman, Başak Karpuz

Journal:

Advances in Difference Equations

Year:

2012

Language:

english

File:

PDF, 150 KB

english, 2012

15

Sufficient conditions for the oscillation and asymptotic beaviour of higher-order dynamic equations of neutral type

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 368 KB

english, 2013

16

Volterra Theory on Time Scales

Journal:

Results in Mathematics

Year:

2014

Language:

english

File:

PDF, 366 KB

english, 2014

17

Asymptotic stability of the complex dynamic equation u

Journal:

Journal of Mathematical Analysis and Applications

Year:

2015

Language:

english

File:

PDF, 460 KB

english, 2015

18

Nonoscillation of First-Order Dynamic Equations with Several Delays

Braverman, Elena, Karpuz, Başak

Journal:

Advances in Difference Equations

Year:

2010

Language:

english

File:

PDF, 516 KB

english, 2010

19

Nonoscillation of Second-Order Dynamic Equations with Several Delays

Braverman, Elena, Karpuz, Başak

Journal:

Abstract and Applied Analysis

Year:

2011

Language:

english

File:

PDF, 722 KB

english, 2011

20

COMPARISON THEOREMS ON THE OSCILLATION AND ASYMPTOTIC BEHAVIOUR OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

KARPUZ, BAŞAK, ÖCALAN, ÖZKAN, ÖZTÜRK, SERMIN

Journal:

Glasgow Mathematical Journal

Year:

2010

Language:

english

File:

PDF, 80 KB

english, 2010

21

Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type

Journal:

Forum Mathematicum

Year:

2015

Language:

english

File:

PDF, 243 KB

english, 2015

22

Nonoscillation and oscillation of second-order linear dynamic equations via the sequence of functions technique

Journal:

Journal of Fixed Point Theory and Applications

Year:

2016

Language:

english

File:

PDF, 652 KB

english, 2016

23

Sharp oscillation and nonoscillation tests for linear difference equations

Journal:

Journal of Difference Equations and Applications

Year:

2017

Language:

english

File:

PDF, 1.49 MB

english, 2017

24

On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales

Braverman, Elena, Karpuz, Bașak

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2012

Language:

english

File:

PDF, 155 KB

english, 2012

25

On Different Types of Stability for Linear Delay Dynamic Equations

Braverman, Elena, Karpuz, Bașak

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2017

Language:

english

File:

PDF, 176 KB

english, 2017

26

New oscillation tests and some refinements for first-order delay dynamic equations

KARPUZ, Başak, ÖCALAN, Özkan

Journal:

TURKISH JOURNAL OF MATHEMATICS

Year:

2016

Language:

english

File:

PDF, 137 KB

english, 2016

27

Hille–Nehari theorems for dynamic equations with a time scale independent critical constant

Journal:

Applied Mathematics and Computation

Year:

2019

Language:

english

File:

PDF, 593 KB

english, 2019

28

Sharp oscillation and nonoscillation tests for delay dynamic equations

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

File:

PDF, 243 KB

2019