Haydar Akca - Academia.edu (original) (raw)

Papers by Haydar Akca

Research paper thumbnail of Programme Commitee Programme Committee Co-chairmen

Research paper thumbnail of Finite-time passivity of neutral-type complex-valued neural networks with time-varying delays

Mathematical biosciences and engineering, 2024

Research paper thumbnail of Existence of Periodic Solutions for the Discrete-Time Counterpart of a Neutral-Type Cellular Neural Network with Time-Varying Delays and Impulses

International journal of applied mathematics and statistics, Jul 30, 2017

From the mathematical point of view, a cellular neural network (CNN) can be characterized by an a... more From the mathematical point of view, a cellular neural network (CNN) can be characterized by an array of identical nonlinear dynamical systems called cells (neurons) that are locally interconnected. Using the semi-discretization method, in the present talk we construct a discrete-time counterpart of a neutral-type CNN with time-varying delays and impulses. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained are found by using the continuation theorem of coincidence degree theory.

Research paper thumbnail of Sturm, Liouville Arkadaşlığı

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Dec 1, 1986

Research paper thumbnail of Programme Commitee Programme Committee Co-chairmen

Registration of the Conference participants 09.00-09.30 Opening Ceremony Rector of Al-Farabi KazN... more Registration of the Conference participants 09.00-09.30 Opening Ceremony Rector of Al-Farabi KazNU, academician Galimkair M. Mutanov opens the Conference. A welcoming speech of the director of the Institute of Computational Technologies SB RAS, academician Yurii I. Shokin. A welcoming speech of the professor Kyrgyz State Technical University named after I. Razzakov, academician Amanbek J. Jaynakov. A welcoming speech of the professor of the University of Pristina in Kosovska Mitrovica Hranislav Milosevic.

Research paper thumbnail of The Numerical Treatment of Delay Differential Equations with Constant Dealy by Natural Spline Functions of Even Degree

LIBERTAS MATHEMATICA (vol.I-XXXI), Dec 30, 1996

Research paper thumbnail of Stable Boundary Control of a Parabolic Equation

Proceedings of the Steklov Institute of Mathematics, Dec 1, 2021

Research paper thumbnail of Common fixed point theorems for weakly compatible self-mappings sustaining integral type contractions

International journal of applied mathematics and statistics, Jul 30, 2017

Research paper thumbnail of Historical analysis of the effectiveness of AKST systems in promoting innovation

International Journal of Educational Development - INT J EDUC DEV, 2008

Research paper thumbnail of The Division by Zero z=0 = 0 and Differential Equations (materials)

International journal of applied mathematics and statistics, 2018

In this paper, we will show and give applications of the division by zero z=0 = 0=0 = 0 in differ... more In this paper, we will show and give applications of the division by zero z=0 = 0=0 = 0 in differential equations. In particular, we will know that the division by zero is our elementary and fundamental mathematics.

Research paper thumbnail of Ayrıklaştırma Yöntemlerinin Salınım ve Karşılaştırma Teoremlerinde Kullanımı Üzerine

Research paper thumbnail of An Abstract Impulsive Second-Order Functional-Differential Cauchy Problem with Nonlocal Conditions

Research paper thumbnail of Weibull Quantile Function and Application in Missing Data

International journal of applied mathematics and statistics, Jul 30, 2017

In this research paper Weibull Quantile function constructed through which tables for different q... more In this research paper Weibull Quantile function constructed through which tables for different quantiles developed with known shape and scale parameters. Sometime the exact sampling distribution of the sample statistics of interest is not available especially in case of quantiles and situation become complicated/ worst when the data contain missing observations due to some certain reasons, under such situations the determination of the experimental results and further analysis not possible. The limits are difficult to construct when the distribution of its quality characteristic of interest is unknown as well data contain missing observations. This research paper addressed the said problem. A number of quantile control limits could be constructed through purposed method but for analysis purpose few of them discussed. The results explore, both graphically and numerically, that the missing data limits widened than the full data in each case. It is known fact that due to the reduction into the original sample size researcher loss some significant information and gained of wider control limits not an astonished fact to us rather obvious and comply with the usual practices /expectations. Although to the best of our knowledge the quantile control limits for missing data not constructed in literature, the way as constructed in this research paper through the gateway of quantile function. The Average Run Length (ARL) table also provided through which the efficiency for different quantiles can examine.

Research paper thumbnail of Existence of periodic solutions for the discrete-time counterpart of a neutral-type cellular neural network with time-varying delays and impulses

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016), 2017

From the mathematical point of view, a cellular neural network (CNN) can be characterized by an a... more From the mathematical point of view, a cellular neural network (CNN) can be characterized by an array of identical nonlinear dynamical systems called cells (neurons) that are locally interconnected. Using the semi-discretization method, in the present talk we construct a discrete-time counterpart of a neutral-type CNN with time-varying delays and impulses. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained are found by using the continuation theorem of coincidence degree theory.

Research paper thumbnail of Global Asymptotic Stability of Cohen–Grossberg Neural Networks of Neutral Type

Journal of Mathematical Sciences, Feb 26, 2015

Sufficient conditions for existence and global asymptotic stability of a unique equilibrium point... more Sufficient conditions for existence and global asymptotic stability of a unique equilibrium point of a Cohen-Grossberg neural network of neutral type are obtained. An example is given. Отримано достатнi умови iснування та глобальної стiйкостi єдиної точки рiвноваги для нейронної мережi Коена-Гроссберга нейтрального типу.

Research paper thumbnail of A New Class of Weakly α-Generalized Closed Sets

International journal of applied mathematics and statistics, Jul 30, 2017

In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between t... more In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between the class of α-closed sets and generalized semi pre closed sets. We further prove that the set of all g _α-closed sets forms a topology and we derive relationship between this closed sets to other existing closed sets.

Research paper thumbnail of Complex Harmonic Splines and Applications

Far East Journal of Mathematical Sciences, Jun 24, 2016

Research paper thumbnail of Exponential Stability of Neural Networks with Time-Varying Delays and Impulses

Advances in intelligent and soft computing, 2009

This paper investigates the exponential stability of a class of neural networks with asymmetric c... more This paper investigates the exponential stability of a class of neural networks with asymmetric connection weights. By dividing the network state variables into various parts according to the characters of the neural networks, some new sufficient conditions of exponential stability are derived via constructing a Lyapunov function and using the method of the variation of constant. The new conditions are associated with the initial values and are described by some blocks of the interconnection matrix, and do not depend on other blocks. Examples are given to further illustrate the theory.

Research paper thumbnail of Impulsive functional-differential equations with nonlocal conditions

International Journal of Mathematics and Mathematical Sciences, 2002

The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functiona... more The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C 0 semigroup of operators and the Banach contraction theorem are applied.

Research paper thumbnail of Global Exponential Stability of Impulsive Cohen-Grossberg-Type BAM Neural Networks with Time-Varying and Distributed Delays

International Journal of Applied Physics and Mathematics, 2014

The purpose of this paper is to investigate the global exponential stability of a class of impuls... more The purpose of this paper is to investigate the global exponential stability of a class of impulsive bidirectional associative memories (BAM) neural networks that possesses Cohen-Grossberg dynamics. By constructing and using some inequality techniques and a fixed point theorem sufficient conditions are obtained to ensure the existence and global exponential stability of the solutions for impulsive Cohen-Grossberg neural networks with time delays and distributed delays.

Research paper thumbnail of Programme Commitee Programme Committee Co-chairmen

Research paper thumbnail of Finite-time passivity of neutral-type complex-valued neural networks with time-varying delays

Mathematical biosciences and engineering, 2024

Research paper thumbnail of Existence of Periodic Solutions for the Discrete-Time Counterpart of a Neutral-Type Cellular Neural Network with Time-Varying Delays and Impulses

International journal of applied mathematics and statistics, Jul 30, 2017

From the mathematical point of view, a cellular neural network (CNN) can be characterized by an a... more From the mathematical point of view, a cellular neural network (CNN) can be characterized by an array of identical nonlinear dynamical systems called cells (neurons) that are locally interconnected. Using the semi-discretization method, in the present talk we construct a discrete-time counterpart of a neutral-type CNN with time-varying delays and impulses. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained are found by using the continuation theorem of coincidence degree theory.

Research paper thumbnail of Sturm, Liouville Arkadaşlığı

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Dec 1, 1986

Research paper thumbnail of Programme Commitee Programme Committee Co-chairmen

Registration of the Conference participants 09.00-09.30 Opening Ceremony Rector of Al-Farabi KazN... more Registration of the Conference participants 09.00-09.30 Opening Ceremony Rector of Al-Farabi KazNU, academician Galimkair M. Mutanov opens the Conference. A welcoming speech of the director of the Institute of Computational Technologies SB RAS, academician Yurii I. Shokin. A welcoming speech of the professor Kyrgyz State Technical University named after I. Razzakov, academician Amanbek J. Jaynakov. A welcoming speech of the professor of the University of Pristina in Kosovska Mitrovica Hranislav Milosevic.

Research paper thumbnail of The Numerical Treatment of Delay Differential Equations with Constant Dealy by Natural Spline Functions of Even Degree

LIBERTAS MATHEMATICA (vol.I-XXXI), Dec 30, 1996

Research paper thumbnail of Stable Boundary Control of a Parabolic Equation

Proceedings of the Steklov Institute of Mathematics, Dec 1, 2021

Research paper thumbnail of Common fixed point theorems for weakly compatible self-mappings sustaining integral type contractions

International journal of applied mathematics and statistics, Jul 30, 2017

Research paper thumbnail of Historical analysis of the effectiveness of AKST systems in promoting innovation

International Journal of Educational Development - INT J EDUC DEV, 2008

Research paper thumbnail of The Division by Zero z=0 = 0 and Differential Equations (materials)

International journal of applied mathematics and statistics, 2018

In this paper, we will show and give applications of the division by zero z=0 = 0=0 = 0 in differ... more In this paper, we will show and give applications of the division by zero z=0 = 0=0 = 0 in differential equations. In particular, we will know that the division by zero is our elementary and fundamental mathematics.

Research paper thumbnail of Ayrıklaştırma Yöntemlerinin Salınım ve Karşılaştırma Teoremlerinde Kullanımı Üzerine

Research paper thumbnail of An Abstract Impulsive Second-Order Functional-Differential Cauchy Problem with Nonlocal Conditions

Research paper thumbnail of Weibull Quantile Function and Application in Missing Data

International journal of applied mathematics and statistics, Jul 30, 2017

In this research paper Weibull Quantile function constructed through which tables for different q... more In this research paper Weibull Quantile function constructed through which tables for different quantiles developed with known shape and scale parameters. Sometime the exact sampling distribution of the sample statistics of interest is not available especially in case of quantiles and situation become complicated/ worst when the data contain missing observations due to some certain reasons, under such situations the determination of the experimental results and further analysis not possible. The limits are difficult to construct when the distribution of its quality characteristic of interest is unknown as well data contain missing observations. This research paper addressed the said problem. A number of quantile control limits could be constructed through purposed method but for analysis purpose few of them discussed. The results explore, both graphically and numerically, that the missing data limits widened than the full data in each case. It is known fact that due to the reduction into the original sample size researcher loss some significant information and gained of wider control limits not an astonished fact to us rather obvious and comply with the usual practices /expectations. Although to the best of our knowledge the quantile control limits for missing data not constructed in literature, the way as constructed in this research paper through the gateway of quantile function. The Average Run Length (ARL) table also provided through which the efficiency for different quantiles can examine.

Research paper thumbnail of Existence of periodic solutions for the discrete-time counterpart of a neutral-type cellular neural network with time-varying delays and impulses

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016), 2017

From the mathematical point of view, a cellular neural network (CNN) can be characterized by an a... more From the mathematical point of view, a cellular neural network (CNN) can be characterized by an array of identical nonlinear dynamical systems called cells (neurons) that are locally interconnected. Using the semi-discretization method, in the present talk we construct a discrete-time counterpart of a neutral-type CNN with time-varying delays and impulses. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained are found by using the continuation theorem of coincidence degree theory.

Research paper thumbnail of Global Asymptotic Stability of Cohen–Grossberg Neural Networks of Neutral Type

Journal of Mathematical Sciences, Feb 26, 2015

Sufficient conditions for existence and global asymptotic stability of a unique equilibrium point... more Sufficient conditions for existence and global asymptotic stability of a unique equilibrium point of a Cohen-Grossberg neural network of neutral type are obtained. An example is given. Отримано достатнi умови iснування та глобальної стiйкостi єдиної точки рiвноваги для нейронної мережi Коена-Гроссберга нейтрального типу.

Research paper thumbnail of A New Class of Weakly α-Generalized Closed Sets

International journal of applied mathematics and statistics, Jul 30, 2017

In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between t... more In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between the class of α-closed sets and generalized semi pre closed sets. We further prove that the set of all g _α-closed sets forms a topology and we derive relationship between this closed sets to other existing closed sets.

Research paper thumbnail of Complex Harmonic Splines and Applications

Far East Journal of Mathematical Sciences, Jun 24, 2016

Research paper thumbnail of Exponential Stability of Neural Networks with Time-Varying Delays and Impulses

Advances in intelligent and soft computing, 2009

This paper investigates the exponential stability of a class of neural networks with asymmetric c... more This paper investigates the exponential stability of a class of neural networks with asymmetric connection weights. By dividing the network state variables into various parts according to the characters of the neural networks, some new sufficient conditions of exponential stability are derived via constructing a Lyapunov function and using the method of the variation of constant. The new conditions are associated with the initial values and are described by some blocks of the interconnection matrix, and do not depend on other blocks. Examples are given to further illustrate the theory.

Research paper thumbnail of Impulsive functional-differential equations with nonlocal conditions

International Journal of Mathematics and Mathematical Sciences, 2002

The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functiona... more The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C 0 semigroup of operators and the Banach contraction theorem are applied.

Research paper thumbnail of Global Exponential Stability of Impulsive Cohen-Grossberg-Type BAM Neural Networks with Time-Varying and Distributed Delays

International Journal of Applied Physics and Mathematics, 2014

The purpose of this paper is to investigate the global exponential stability of a class of impuls... more The purpose of this paper is to investigate the global exponential stability of a class of impulsive bidirectional associative memories (BAM) neural networks that possesses Cohen-Grossberg dynamics. By constructing and using some inequality techniques and a fixed point theorem sufficient conditions are obtained to ensure the existence and global exponential stability of the solutions for impulsive Cohen-Grossberg neural networks with time delays and distributed delays.