Prof. Dr. BAŞAK KARPUZ

MATHEMATICAL METHODS IN THE APPLIED SCIENCES , cilt.42, sa.9, ss.2993-3001, 2019 (SCI-Expanded)

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

APPLIED MATHEMATICS AND COMPUTATION , cilt.346, ss.336-351, 2019 (SCI-Expanded)

Oscillation theorems for second-order nonlinear delay differential equations of neutral type

KARPUZ B., Santra S. S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , cilt.48, sa.3, ss.633-643, 2019 (SCI-Expanded)

PHILOS' INEQUALITY ON TIME SCALES AND ITS APPLICATION IN THE OSCILLATION THEORY

MATHEMATICAL INEQUALITIES & APPLICATIONS , cilt.21, sa.4, ss.1029-1046, 2018 (SCI-Expanded)

On the existence and uniqueness of solutions to dynamic equations

TURKISH JOURNAL OF MATHEMATICS , cilt.42, sa.3, ss.1072-1089, 2018 (SCI-Expanded)

Sharp oscillation and nonoscillation tests for linear difference equations

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS , cilt.23, sa.12, ss.1929-1942, 2017 (SCI-Expanded)

On Different Types of Stability for Linear Delay Dynamic Equations

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN , cilt.36, sa.3, ss.343-375, 2017 (SCI-Expanded)

Analyticity of the Complex Time Scale Exponential

COMPLEX ANALYSIS AND OPERATOR THEORY , cilt.11, sa.1, ss.21-34, 2017 (SCI-Expanded)

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

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS , cilt.18, sa.4, ss.889-903, 2016 (SCI-Expanded)

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

TURKISH JOURNAL OF MATHEMATICS , cilt.40, sa.4, ss.850-863, 2016 (SCI-Expanded)

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

FORUM MATHEMATICUM , cilt.27, sa.5, ss.2759-2773, 2015 (SCI-Expanded)

Asymptotic stability of the complex dynamic equation u(Delta) - z.u+w.u(sigma)=0

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , cilt.421, sa.1, ss.925-937, 2015 (SCI-Expanded)

Oscillation and stability of first-order delay differential equations with retarded impulses

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS , sa.66, 2015 (SCI-Expanded)

OSCILLATION OF SOLUTIONS OF LINEAR IMPULSIVE PARTIAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS , 2014 (SCI-Expanded)

Volterra Theory on Time Scales

RESULTS IN MATHEMATICS , cilt.65, sa.3-4, ss.263-292, 2014 (SCI-Expanded)

Necessary and sufficient conditions on the asymptotic behavior of second-order neutral delay dynamic equations with positive and negative coefficients

MATHEMATICAL METHODS IN THE APPLIED SCIENCES , cilt.37, sa.8, ss.1219-1231, 2014 (SCI-Expanded)

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

APPLIED MATHEMATICS AND COMPUTATION , cilt.221, ss.453-462, 2013 (SCI-Expanded)

Li type oscillation theorem for delay dynamic equations

MATHEMATICAL METHODS IN THE APPLIED SCIENCES , cilt.36, sa.9, ss.993-1002, 2013 (SCI-Expanded)

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

Bohner M., Guseinov G. S., KARPUZ B.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS , cilt.24, sa.4, ss.289-301, 2013 (SCI-Expanded)

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

ADVANCES IN DIFFERENCE EQUATIONS , cilt.2012, 2012 (SCI-Expanded)

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

APPLIED MATHEMATICS AND COMPUTATION , cilt.218, sa.21, ss.10468-10485, 2012 (SCI-Expanded)

On global asymptotic stability of nonlinear higher-order difference equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.236, sa.11, ss.2803-2812, 2012 (SCI-Expanded)

Oscillation of first order differential equations with retarded arguments

Mathematica Slovaca , cilt.62, sa.2, ss.247-256, 2012 (SCI-Expanded)

On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN , cilt.31, sa.2, ss.203-216, 2012 (SCI-Expanded)

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

APPLIED MATHEMATICS AND COMPUTATION , cilt.218, sa.7, ss.3880-3887, 2011 (SCI-Expanded)

COMPARISON CRITERIA FOR THE OSCILLATION OF MIXED-TYPE IMPULSIVE DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENTS

KARPUZ B., ÖCALAN Ö., Ozturk S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , cilt.40, sa.2, ss.265-272, 2011 (SCI-Expanded)

SOME GENERALIZATIONS FOR OPIAL'S INEQUALITY INVOLVING SEVERAL FUNCTIONS AND THEIR DERIVATIVES OF ARBITRARY ORDER ON ARBITRARY TIME SCALES

KARPUZ B., ÖZKAN U. M.

MATHEMATICAL INEQUALITIES & APPLICATIONS , cilt.14, sa.1, ss.79-92, 2011 (SCI-Expanded)

Necessary and Sufficient Conditions for the Oscillation of Differential Equations Involving Distributed Arguments

Dix J. G., KARPUZ B., Rath R.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS , sa.19, ss.1-15, 2011 (SCI-Expanded)

Properties of the Laplace transform on time scales with arbitrary graininess

Bohner M., Guseinov G. S., KARPUZ B.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS , cilt.22, sa.11, ss.785-800, 2011 (SCI-Expanded)

Nonoscillation of second order dynamic equations with several delays

BRAVERMAN E., KARPUZ B.

Abstract And Applied Analysis , cilt.2011, sa.591254, ss.1-34, 2011 (SCI-Expanded)

Nonoscillation of First-Order Dynamic Equations with Several Delays

KARPUZ B., Kaymakcalan B., ÖZKAN U. M.

ADVANCES IN DIFFERENCE EQUATIONS , cilt.2010, 2010 (SCI-Expanded)

SOME MULTI-DIMENSIONAL OPIAL-TYPE INEQUALITIES ON TIME SCALES

JOURNAL OF MATHEMATICAL INEQUALITIES , cilt.4, sa.2, ss.207-216, 2010 (SCI-Expanded)

Corrigendum to Oscillation of a class of difference equations of second order Math Comput Modelling 49 2009 912 917

KARPUZ B., ÖCALAN Ö., YILDIZ M. K.

Mathematical And Computer Modelling , cilt.51, ss.1009-1010, 2010 (SCI-Expanded)

Oscillation of first-order impulsive difference equations with continuous arguments

KARPUZ B., ÖCALAN Ö., Ozturk S.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS , cilt.12, sa.2, ss.539-543, 2010 (SCI-Expanded)

COMPARISON THEOREMS ON THE OSCILLATION OF A CLASS OF NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY , cilt.47, sa.2, ss.401-409, 2010 (SCI-Expanded)

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

KARPUZ B., ÖCALAN Ö., ÖZTÜRK S.

GLASGOW MATHEMATICAL JOURNAL , cilt.52, ss.107-114, 2010 (SCI-Expanded)

Further oscillation criteria for partial difference equations with variable coefficients

COMPUTERS & MATHEMATICS WITH APPLICATIONS , cilt.59, sa.1, ss.55-63, 2010 (SCI-Expanded)

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

APPLIED MATHEMATICS AND COMPUTATION , cilt.215, sa.6, ss.2174-2183, 2009 (SCI-Expanded)

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

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , cilt.71, sa.7-8, ss.3063-3071, 2009 (SCI-Expanded)

OSCILLATION AND NONOSCILLATION OF FIRST-ORDER DYNAMIC EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS

DYNAMIC SYSTEMS AND APPLICATIONS , cilt.18, sa.3-4, ss.363-374, 2009 (SCI-Expanded)

Oscillation criteria for a class of second-order neutral delay differential equations

KARPUZ B., Manojlovic J. V., Oecalan O., Shoukaku Y.

APPLIED MATHEMATICS AND COMPUTATION , cilt.210, sa.2, ss.303-312, 2009 (SCI-Expanded)

Oscillation of a class of difference equations of second order

KARPUZ B., ÖCALAN Ö., YILDIZ M. K.

Mathematical And Computer Modelling , cilt.49, ss.912-917, 2009 (SCI-Expanded)

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

COMPUTERS & MATHEMATICS WITH APPLICATIONS , cilt.57, sa.4, ss.633-642, 2009 (SCI-Expanded)

NECESSARY AND SUFFICIENT CONDITIONS FOR THE OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO NEUTRAL DELAY DYNAMIC EQUATIONS

KARPUZ B., ÖCALAN Ö., Rath R.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS , cilt.2009, ss.1-15, 2009 (SCI-Expanded)

Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients

YILDIZ M. K., KARPUZ B., ÖCALAN Ö.

TURKISH JOURNAL OF MATHEMATICS , cilt.33, sa.4, ss.341-350, 2009 (SCI-Expanded)

Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS , sa.34, ss.1-14, 2009 (SCI-Expanded)

Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients

KARPUZ B., ÖCALAN Ö., YILDIZ M. K.

TURKISH JOURNAL OF MATHEMATICS , cilt.33, sa.3, ss.259-263, 2009 (SCI-Expanded)

Iterated Oscillation Criteria for Delay Dynamic Equations of First Order

Bohner M., KARPUZ B., Oecalan O.

ADVANCES IN DIFFERENCE EQUATIONS , cilt.2008, 2008 (SCI-Expanded)

OSCILLATION AND ASYMPTOTIC BEHAVIOUR OF A HIGHER ORDER NEUTRAL DIFFERENTIAL EQUATION WITH POSITIVE AND NEGATIVE COEFFICIENTS

KARPUZ B., Padhy L. N., Rath R.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS , cilt.2008, 2008 (SCI-Expanded)

ON THE OSCILLATION OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION WITH POSITIVE AND NEGATIVE COEFFICIENTS

ÖCALAN Ö., Yildiz M. K., KARPUZ B.

DYNAMIC SYSTEMS AND APPLICATIONS , cilt.17, sa.3-4, ss.667-675, 2008 (SCI-Expanded)

Diğer Dergilerde Yayınlanan Makaleler

BASIC THEORY FOR DIFFERENTIAL EQUATIONS WITH UNIFIED REIMANN-LIOUVILLE AND HADAMARD TYPE FRACTIONAL DERIVATES

KARPUZ B., ÖZKAN U. M., Yalcin T., Yildiz M. K.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS , cilt.13, sa.2, ss.216-230, 2017 (ESCI)

SUFFICIENT CONDITIONS FOR THE OSCILLATION OF ODD-ORDER NEUTRAL DYNAMIC EQUATIONS

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS , cilt.14, sa.1, ss.69-76, 2017 (ESCI)

Iterated oscillation criteria for delay partial difference equations

KARPUZ B., Öcalan Ö.

Mathematica Bohemica , cilt.139, sa.3, ss.437-450, 2014 (Scopus)

Oscillation of delay dynamic equations with oscillating coefficients

Differential Equations & Applications , cilt.5, sa.3, ss.331-339, 2013 (ESCI)

The Gamma function on time scales

BOHNER M., KARPUZ B.

Dynamics Of Continuous Discrete And Impulsive Systems-Series A-Mathematical Analysis , cilt.20, sa.4, ss.507-522, 2013 (Scopus)

Oscillation criteria for a class of first order forced differential equations under impulse effects

Advances in Dynamical Systems and Applications , cilt.7, sa.2, ss.205-218, 2012 (Scopus)

Oscillation of neutral differential equations with distributed deviating arguments

CANDAN T., KARPUZ B., ÖCALAN Ö.

Nonlinear Oscillations (New York) , cilt.15, sa.1, ss.65-76, 2012 (Hakemli Dergi)

Oscillation and nonoscillation in neutral delay dynamic equations with positive and negative coefficients

Communications in Applied Analysis , cilt.16, sa.1, ss.113-129, 2012 (Hakemli Dergi)

Kamenev type oscillation criteria for higher order neutral delay dynamic equations

ERBE L., KARPUZ B., PETERSON A.

International Journal of Difference Equations , cilt.6, sa.1, ss.1-16, 2011 (Scopus)

Remarks on Oscillation in nonlinear neutral difference equations with positive and negative coefficients Int J Difference Equ 5 2010 251 265

International Journal of Difference Equations , cilt.6, sa.2, ss.127-129, 2011 (Scopus)

On uniqueness of the Laplace transform on time scales

PanAmerican Mathematical Journal , cilt.21, sa.2, ss.101-110, 2011 (Scopus)

Existence and uniqueness of solutions to systems of delay dynamic equations on time scales

KARPUZ B., KAYMAKÇALAN B., ÖCALAN Ö.

International Journal of Mathematics and Computation , cilt.10, ss.48-58, 2011 (Hakemli Dergi)

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

Differential Equations and Dynamical Systems , cilt.18, ss.11-18, 2010 (Scopus)

A method on the general solution of inhomogeneous Euler differential equations

KARPUZ B., YILDIRIM H.

Selçuk Journal of Applied Mathematics , cilt.10, sa.1, ss.19-32, 2009 (Hakemli Dergi)

Remarks on Oscillation criteria for second order functional difference equation with neutral terms Demon Math 41 2008 615 625

DEMONSTRATIO MATHEMATICA , cilt.52, sa.3, ss.549-551, 2009 (ESCI)

On oscillation and asymptotic behaviour of a higher order functional difference equation of neutral type

KARPUZ B., RATH R., RATH S.

International Journal of Difference Equations , cilt.4, sa.1, ss.69-96, 2009 (Scopus)

Generalized Ostrowski s inequality on time scales

KARPUZ B., ÖZKAN U. M.

JIPAM. Journal of Inequalities in Pure and Applied Mathematics , cilt.9, sa.4, ss.1-7, 2008 (Hakemli Dergi)

Discrete approach on oscillation of difference equations with continuous variable

Advances in Dynamical Systems and Applications , cilt.3, sa.2, ss.283-290, 2008 (Scopus)

Oscillation criteria for some classes of linear delay differential equations of first order

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES , cilt.3, sa.2, ss.293-314, 2008 (ESCI)

Comparison theorems on oscillatory nature of higher order difference equations with continuous variables

KARPUZ B., ÖCALAN Ö., ÖZKAN U. M.

International Journal: Mathematical Manuscripts , cilt.1, sa.1, ss.73-81, 2007 (Hakemli Dergi)

Hakemli Kongre / Sempozyum Bildiri Kitaplarında Yer Alan Yayınlar

Linearized Oscillation Theory for a Nonlinear Nonautonomous Difference Equation

Berezansky L., KARPUZ B.

24th International Conference on Difference Equations and Applications (ICDEA), Dresden, Almanya, 21 - 25 Mayıs 2018, cilt.312, ss.3-19

Sharp Conditions for Oscillation and Nonoscillation of Neutral Difference Equations

24th International Conference on Difference Equations and Applications (ICDEA), Dresden, Almanya, 21 - 25 Mayıs 2018, cilt.312, ss.251-265

Oscillation of second-order linear differential equations

13. Ankara Matematik Günleri, Ankara, Türkiye, 26 - 27 Nisan 2018

Lower limit and upper limit conditions for oscillation and stability of first order delay differential and difference equations

International Conference on Mathematics and Mathematics Education, Elazığ, Türkiye, 12 - 14 Mayıs 2016

Zaman skalasında dinamik denklemlerin çözümlerinin asimptotik davranışı

Genç Matematikçiler Toplantısı, İzmir (Nesin Matematik Köyü), Türkiye, 14 - 18 Eylül 2015

On global asymptotic stability of nonlinear higher order difference equations

14th International Workshop on Dynamical Systems and Applications, Ankara (Gazi Üniversity), Türkiye, 29 Haziran - 29 Eylül 2015

Uniform exponential stability of delay dynamic equations

12th International Workshop on Dynamical Systems and Applications, Ankara (Atılım University), Türkiye, 12 Ağustos 2013 - 15 Haziran 2015

Dinamik denklemler için Cauchy Peano teoremi

10. Ankara Matematik Günleri, Ankara (ODTÜ), Türkiye, 11 - 12 Haziran 2015

Karmaşık zaman skalası üstelinin sıfıra gitmesi için keskin koşullar

8. Ankara Matematik Günleri, Ankara (Çankaya Üniversitesi), Türkiye, 13 - 14 Haziran 2013

Volterra integral equations on time scales

Anatolian Communications in Nonlinear Analysis, Bolu ( Abant Izzat Baysal University), Türkiye, 3 - 06 Haziran 2013

Pozitif ve negatif katsayılı fark denklemlerinin salınımı üzerine genel bakış