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2019
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2007
In Press
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↑
2019 (2)
Basak KARPUZ
* and Shyam S. SANTRA,
Oscillation theorems for second-order nonlinear delay differential equations of neutral type,
Hacet. J. Math. Stat.
, vol. 48, no. 3, pp. 633--643, (2019).
[PDF]
Basak KARPUZ
*,
Sharp oscillation and nonoscillation tests for delay dynamic equations,
Math. Methods Appl. Sci.
, vol. 42, no. 9, pp. 2993--3001, (2019).
Basak KARPUZ
*,
Hille—Nehari theorems for dynamic equations with a time scale independent critical constant,
Appl. Math. Comput.
, vol. 346, pp. 336--351, (2019).
↑
2018 (2)
Basak KARPUZ
*,
Philos' inequality on time scales and its application in the oscillation theory,
Math. Inequal. Appl.
, vol. 21, no. 4, pp. 1029--1046, (2018).
Basak KARPUZ
*,
On the existence and uniqueness of solutions to dynamic equations,
Turkish J. Math.
, vol. 42, no. 3, pp. 1072--1089, (2018).
↑
2017 (5)
Basak KARPUZ
*,
Sharp oscillation and nonoscillation tests for linear difference equations,
J. Difference Equ. Appl.
, vol. 23, no. 12, pp. 1929--1942, (2017).
Elena BRAVERMAN* and
Basak KARPUZ
,
On different types of stability for linear delay dynamic equations,
Z. Anal. Anwend.
, vol. 36, no. 3, pp. 343--375, (2017).
Basak KARPUZ
*,
Analyticity of the complex time scale exponential,
Complex Anal. Oper. Theory
, vol. 11, no. 1, pp. 21--34, (2017).
Basak KARPUZ
*,
Sufficient conditions for the oscillation of odd-order neutral dynamic equations,
Int. J. Anal. Appl.
, vol. 14, no. 1, pp. 69--76, (2017).
Basak KARPUZ
*, Umut M. ÖZKAN, Tuğba YALÇIN, Mustafa K. YILDIZ,
Basic theory for differential equations with unified Reimann-Liouville and Hadamard type fractional derivative,
Int. J. Anal. Appl.
, vol. 13, no. 2, pp. 216--230, (2017).
↑
2016 (2)
Basak KARPUZ
* and
Özkan ÖCALAN
,
New oscillation tests and some refinements for first-order delay dynamic equations,
Turkish J. Math.
, vol. 44, no. 4, pp. 850--863, (2016).
Basak KARPUZ
*,
Nonoscillation and oscillation of second-order linear dynamic equations via the sequence of functions technique,
J. Fixed Point Theory Appl.
, vol. 18, no. 4, pp. 889--903, (2016).
↑
2015 (3)
Basak KARPUZ
*,
Oscillation and stability of first-order delay differential equations with retarded impulses,
Electron. J. Qual. Theory Differ. Equ.
, vol. 2015, no. 66, pp. 1--17, (2015).
Basak KARPUZ
*,
Asymptotic stability of the complex dynamic equation u
^{Δ}
−z⋅u+w⋅u
^{σ}
=0,
J. Math. Anal. Appl.
, vol. 421, no. 1, pp. 925--937, (2015).
Basak KARPUZ
,
Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type,
Forum Math.
, vol. 27, no. 5, pp. 2759--2773, (2015).
↑
2014 (4)
Basak KARPUZ
*,
Oscillation of solutions of linear impulsive partial difference equations with continuous variables,
Electron. J. Differential Equations
, vol. 2014, no. 190, pp. 1--14, (2014).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Iterated oscillation criteria for delay partial difference equations,
Math. Bohem.
, vol. 139, no. 3, pp. 437--450, (2014).
Basak KARPUZ
,
Necessary and sufficient conditions on the asymptotic behaviour of second-order neutral delay dynamic equations with positive and negative coefficients,
Math. Methods Appl. Sci.
, vol. 37, no. 8, pp. 1219--1231, (2014).
Basak KARPUZ
,
Volterra theory on time scales,
Results Math.
, vol. 65, no. 3, pp. 263--292, (2014).
↑
2013 (5)
Martin BOHNER*, Gusein Sh. GUSEINOV and
Basak KARPUZ
,
Further properties of the Laplace transform on time scales with arbitrary graininess,
Integral Transforms Spec. Funct.
, vol. 24, no. 4, pp. 289--301, (2013).
Martin BOHNER* and
Basak KARPUZ
,
The Gamma function on time scales,
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.
, vol. 20, no. 4, pp. 507--522, (2013).
Basak KARPUZ
,
Li type oscillation theorem for delay dynamic equations,
Math. Methods Appl. Sci.
, vol. 36, no. 9, pp. 993--1002, (2013).
Basak KARPUZ
,
Sufficient conditions for the oscillation and asymptotic behaviour of higher-order dynamic equations of neutral type,
Appl. Math. Comput.
, vol. 221, pp. 453--462, (2013).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Oscillation of delay dynamic equations with oscillating coefficients,
Differ. Equ. Appl.
, vol. 5, no. 3, pp. 331--339, (2013).
↑
2012 (8)
Elena BRAVERMAN* and
Basak KARPUZ
,
On global asymptotic stability of nonlinear higher-order difference equations,
J. Comput. Appl. Math.
, vol. 236, no. 11, pp. 2803--2812, (2012).
Elena BRAVERMAN* and
Basak KARPUZ
,
On monotonicity of nonoscillation properties of dynamic equations in time scales,
Z. Anal. Anwend.
, vol. 31, no. 2, pp. 203--216, (2012).
Elena BRAVERMAN* and
Basak KARPUZ
,
On stability of delay difference equations with variable coefficients: successive products tests,
Adv. Difference Equ.
, vol. 2012, aid. 177, 8 p., (2012).
Elena BRAVERMAN* and
Basak KARPUZ
,
Uniform exponential stability of first-order dynamic equations with several delays,
Appl. Math. Comput.
, vol. 218, no. 21, pp. 10468--10485, (2012).
Tuncay CANDAN,
Basak KARPUZ
* and
Özkan ÖCALAN
,
Oscillation of neutral differential equations with distributed deviating arguments,
Nonlinear Oscil. (N. Y.)
, vol. 15, no. 1, pp. 65--76, (2012).
Basak KARPUZ
,
Oscillation of first-order differential equations with retarded arguments,
Math. Slovaca
, vol. 62, no. 2, pp. 247--256, (2012).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Oscillation and nonoscillation in neutral delay dynamic equations with positive and negative coefficients,
Commun. Appl. Anal.
, vol. 16, no. 1, pp. 113--129, (2012).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Oscillation criteria for a class of first-order forced differential equations under impulse effects,
Adv. Dyn. Syst. Appl.
, vol. 7, no. 2, pp. 205--218, (2012).
↑
2011 (10)
Martin BOHNER*, Gusein Sh. GUSEINOV and
Basak KARPUZ
,
Properties of the Laplace transform on time scales with arbitrary graininess,
Integral Transforms Spec. Funct.
, vol. 22, no. 11, 785--800, (2011).
Elena BRAVERMAN* and
Basak KARPUZ
,
Nonoscillation of second-order dynamic equations with several delays,
Abstr. Appl. Anal.
, vol. 2011, aid. 591254, 34 p., (2011).
Elena BRAVERMAN* and
Basak KARPUZ
,
On oscillation of differential and difference equations with non-monotone delays,
Appl. Math. Comput.
, vol. 218, no. 7, pp. 3880--3887, (2011).
Julio G. DIX,
Basak KARPUZ
* and Radhanath RATH,
Necessary and sufficient conditions on the asymptotic behaviour of higher-order differential equations involving distributed arguments,
Electron. J. Qual. Theory Differ. Equ.
, vol. 2011, no. 19, pp. 1--15, (2011).
Lynn H. ERBE,
Basak KARPUZ
* and Allan C. PETERSON,
Kamenev-type oscillation criteria for higher-order neutral delay dynamic equations,
Int. J. Difference Equ.
, vol. 6, no. 1, pp. 1--16, (2011).
Basak KARPUZ
,
Existence and uniqueness of solutions to systems of delay dynamic equations on time scales,
Int. J. Math. Comput.
, vol. 10, no. M11 (Special Volume), pp. 48--58, (2011).
Basak KARPUZ
,
On uniqueness of the Laplace transform on time scales,
Panamer. Math. J.
, vol. 21, no. 2, pp. 101--110, (2011).
Basak KARPUZ
,
Remarks on: “Oscillation in nonlinear neutral difference equations with positive and negative coefficients” [Int. J. Difference Equ. 5 (2010) 251--265],
Int. J. Difference Equ.
, vol. 6, no. 2, pp. 127--129, (2011).
Basak KARPUZ
*,
Özkan ÖCALAN
and Sermin ÖZTÜRK,
Comparison criteria for the oscillation of mixed-type impulsive difference equations with continuous arguments,
Hacet. J. Math. Stat.
, vol. 40, no. 2, pp. 265--272, (2011).
Basak KARPUZ
and Umut M. ÖZKAN*,
Some generalizations for Opial's inequality involving several functions and their derivatives of arbitrary order on arbitrary time scales,
Math. Inequal. Appl.
, vol. 14, no. 1, pp. 79--92, (2011).
↑
2010 (8)
Elena BRAVERMAN* and
Basak KARPUZ
,
Nonoscillation of first-order dynamic equations with several delays,
Adv. Difference Equ.
, vol. 2010, aid. 873459, 22 p., (2010).
Basak KARPUZ
*, Billûr KAYMAKÇALAN and
Özkan ÖCALAN
,
A generalization of Opial's inequality and applications to second-order dynamic equations,
Differ. Equ. Dyn. Syst.
(in Memory of Bernd Aulbach), vol. 18, no. 1-2, pp. 11--18, (2010).
Basak KARPUZ
, Billûr KAYMAKÇALAN and Umut M. ÖZKAN*,
Some multi-dimensional Opial-type inequalities on time scales,
J. Math. Inequal.
, vol. 4, no. 2, pp. 207--216, (2010).
Basak KARPUZ
and
Özkan ÖCALAN
*,
Comparison theorems on the oscillation of a class of neutral difference equations with continuous variables,
Bull. Korean Math. Soc.
, vol. 47, no. 2, pp. 401--409, (2010).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Further oscillation criteria for partial difference equations with variable coefficients,
Comput. Math. Appl.
, vol. 59, no. 1, pp. 55--63, (2010).
Basak KARPUZ
*,
Özkan ÖCALAN
and Sermin ÖZTÜRK,
Comparison theorems on the oscillation and asymptotic behaviour of higher-order neutral differential equations,
Glasg. Math. J.
, vol. 52, no. 1, pp. 107--114, (2010).
Basak KARPUZ
*, Özkan ÖCALAN and Sermin ÖZTÜRK,
Oscillation of first-order impulsive difference equations with continuous arguments,
J. Comput. Anal. Appl.
, vol. 12, no. 2, pp. 539--543, (2010).
Basak KARPUZ
*,
Özkan ÖCALAN
and Mustafa K. YILDIZ,
Corrigendum to “Oscillation of a class of difference equations of second order” [Math. Comput. Modelling 49 (2009) 912--917],
Math. Comput. Modelling
, vol. 51, no. 9-10, pp. 1009--1010, (2010).
↑
2009 (13)
Basak KARPUZ
,
Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations,
Appl. Math. Comput.
, vol. 215, no. 6, pp. 2174--2183, (2009).
Basak KARPUZ
,
Remarks on: “Oscillation criteria for second-order functional difference equation with neutral terms” [Demon. Math. 41 (2008) 615--625],
Demonstratio Math.
, vol. 52, no. 3, pp. 549--551, (2009).
Basak KARPUZ
,
Some oscillation and nonoscillation criteria for neutral delay difference equations with positive and negative coefficients,
Comput. Math. Appl.
, vol. 57, no. 4, pp. 633--642, (2009).
Basak KARPUZ
,
Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients,
Electron. J. Qual. Theory Differ. Equ.
, vol. 2009, no. 34, pp. 1--14, (2009).
Basak KARPUZ
*
, Jelena V. MANOJLOVIC,
Özkan ÖCALAN
and Yutaka SHOUKAKU,
Oscillation criteria for a class of second-order neutral delay differential equations,
Appl. Math. Comput.
, vol. 210, no. 2, pp. 303--312, (2009).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Necessary and sufficient conditions on asymptotic behaviour of solutions of forced neutral delay dynamic equations,
Nonlinear Anal.
, vol. 71, no. 7-8, pp. 3063--3071, (2009).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Oscillation and nonoscillation of first-order dynamic equations with positive and negative coefficients,
Dynam. Systems Appl.
, vol. 18, no. 3-4, pp. 363--374, (2009).
Basak KARPUZ
*,
Özkan ÖCALAN
and Radhanath RATH,
Necessary and sufficient conditions for the oscillatory and asymptotic behaviour of solutions to neutral delay dynamic equations,
Electron. J. Differential Equations
, vol. 2009, no. 64, pp. 1--15, (2009).
Basak KARPUZ
*,
Özkan ÖCALAN
and Mustafa K. YILDIZ,
Oscillation of a class of difference equations of second order,
Math. Comput. Modelling
, vol. 49, no. 5-6, pp. 912--917, (2009).
Basak KARPUZ
*,
Özkan ÖCALAN
and Mustafa K. YILDIZ,
Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients,
Turkish J. Math.
, vol. 33, no. 3, pp. 259--263, (2009).
Basak KARPUZ
, Radhanath RATH* and Subhendu K. RATH,
On oscillation and asymptotic behaviour of a higher order functional difference equation of neutral type,
Int. J. Difference Equ.
, vol. 4, no. 1, pp. 69--96, (2009).
Basak KARPUZ
and
Hüseyin YILDIRIM
*,
A method on the general solution of inhomogeneous Euler differential equations,
Selçuk J. Appl. Math.
, vol. 10, no. 1, pp. 19--32, (2009).
Mustafa K. YILDIZ*,
Basak KARPUZ
and
Özkan ÖCALAN
,
Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients,
Turkish J. Math.
, vol. 33, no. 4, pp. 341--350, (2009).
↑
2008 (8)
Martin BOHNER,
Basak KARPUZ
* and
Özkan ÖCALAN
,
Iterated oscillation criteria for delay dynamic equations of first-order,
Adv. Difference Equ.
, vol. 2008, aid. 458687, 12 p., (2008).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Discrete approach on oscillation of difference equations with continuous variable,
Adv. Dyn. Syst. Appl.
, vol. 3, no. 2, pp. 283--290, (2008).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Erratum to: “Oscillation of forced neutral differential equations with positive and negative coefficients” [Comput. Math. Appl. 54 (2007) 1411--1421],
Comput. Math. Appl.
, vol. 56, no. 2, pp. 590--591, (2008).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Erratum to: “Stability for first-order delay dynamic equations on time scales” [Comput. Math. Appl. 53 (2007) 1820--1831],
Comput. Math. Appl.
, vol. 56, no. 4, pp. 1157--1158, (2008).
Basak KARPUZ
* and
Özkan ÖCALAN
,
Oscillation criteria for some classes of linear delay differential equations of first-order,
Bull. Inst. Math. Acad. Sin. (N.S.)
, vol. 3, no. 2, pp. 293--314, (2008).
Basak KARPUZ
* and Umut M. ÖZKAN,
Generalized Ostrowski's inequality on time scales,
JIPAM. J. Inequal. Pure Appl. Math.
, vol. 9, no. 4, aid. 112, 7 p., (2008).
Basak KARPUZ
, Laxmi N. PADHY and Radhanath RATH*,
Oscillation and asymptotic behaviour of a higher order neutral differential equation with positive and negative coefficients,
Electron. J. Differential Equations
, vol. 2008, no. 113, pp. 1--15, (2008).
Özkan ÖCALAN
*, Mustafa K. YILDIZ and
Basak KARPUZ
,
On the oscillation of nonlinear neutral differential equation with positive and negative coefficients,
Dynam. Systems Appl.
, vol. 17, pp. 667--675, (2008).
↑
2007 (1)
Basak KARPUZ
*,
Özkan ÖCALAN
and Umut M. ÖZKAN,
Comparison theorems on oscillatory nature of higher order difference equations with continuous variables,
International Journal: Mathematical Manuscripts
, vol. 1, no. 1, pp. 73--81, (2007).
* indicates the corresponding authors.
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