Mathematics
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Common fixed point theorems for weakly compatible self-mappings sustaining integral type contractions
(Ceser, 2018)In this paper, for the self quadruple mappings (SQMs) F1, F2, F3, F4 : X→X , a common fixed point theorem (CFPT) is presented, where (X , d) is a metric space and (F1, F2) is a cyclic (α, λ)(F3,F4) admissible pair. -
Periodic solutions of the discrete counterpart of an impulsive system with a small delay
(Antalya, Turkey, 2004-07)A discrete analogue of an impulsive system with a small delay is considered. If the corresponding system without delay has an isolated ω-periodic solution, then in any neighbourhood of this orbit the discrete system also ... -
On tracking of solutions of parabolic variational inequalities
(Turkic World Mathematical Society, 2012-12)The problem of constructing a feedback control algorithm for a parabolic variational inequality is considered. This algorithm should provide tracking a prescribed trajectory by a solution of the given inequality. Two ... -
Complex Harmonic Splines and Applications
(Pushpa Publishing House, 2016-06)In this paper, we design a new family of orthogonal wavelet transforms that are based on polynomial and discrete splines. We mainly discuss and focus on the cubic spline, which is practical in applications. -
Impulsive Cohen-Grossberg neural networks with S-type distributed delays and reaction-diffusion terms
(Tatra Mountains Mathematical Publication, 2003-08)We study impulsive Cohen-Grossberg neural networks with S-type distributed delays. This type of delays in the presence of impulses is more general than the usual types of delays studied in the literature. Using analysis ... -
Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms
(Tatra Mountains Mathematical Publication, 2009-01)An impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms is considered. The reaction-diffusion terms are approximated by divided differences. For simplicity of ... -
Image Processing and ‘Noise Removal Algorithms’—The Pdes and Their Invariance Properties & Conservation Laws
(Springer Link, 2017-09)We analyse the symmetry, invariance properties and conservation laws of the partial differential equations (pdes) and minimization problems (variational functionals) that arise in the analyses of some noise removal algorithms. -
Existence of Extremal Solutions of Differential Equations with Delay in Banach Spaces
(2015-03): In this paper, by using the monotone iterative method and Daher's fixed point theorem and an inequality of noncompact measure of Monch and Von Harten, we study the existence of maximum solution and minimal solution and ... -
On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions
(Springer Link, 2004)The existence, uniqueness and continuous dependence of a mild solution of a semilinear impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, ... -
mpulsive Cohen-Grossberg neural networks with S-type distributed delays
(Tatra Mountains Mathematical Publication, 2010-08)We study impulsive Cohen-Grossberg neural networks with S-type distributed delays. This type of delays in the presence of impulses is more general than the usual types of delays studied in the literature. Using analysis ... -
Wave forces related to waves conditions and structures characteristics
(Ovidius University Annals Series, 2008-04)Sea waves have irregular geometrical shapes and varying amplitudes. It is very difficult to make an approximation of the forces they produce on the maritime structures. Wave-generated pressures on structures related to ... -
Stability of neural networks with time varying delays in the presence of impulses
(Research India Publications, 2006-01)We develop a new approach to the stability analysis of Hopfield-type neural networks with time varying delays in the presence of impulses. With the new approach, we improve and generalize some previous works of other ... -
Approximate Solutions of the Differential Equations with Delay by Nonpolynomial Spline Functions
(The Romanian Mathematical Society, 1999)We study nonpolynomial spline recurrences algorithms for the approximate solutions of initial value problems in delay differential equations. Moreover the stability and convergence estimates are obtained. -
Asymptotic properties of the solutions of a class of operator-differential equations
(1994)Some asymptotic properties of the nonoscillating solutions of operatordifferential equations of arbitrary order are investigated. -
Oscillation criterion for certain second order differential equations
(1990-01)The purpose of this paper is to introduce a new oscillation criteria for second order nonlinear differential equations with retarded argument. Consider the delay differential equation x(t) + g(t)f(x(t))g(i(t)) = O ... -
Numerical methods for solution of impulsive differential equations and stability analysis
(Pushpa Publishing House, Allahabad, India, 2016-06)The qualitative study of impulsive differential equations began in 1960 with the work of Mil’man and Myshkis [9, 10]. In the recent years, there have been intensive studies on the qualitative theory and behavior of the ... -
Improved stability estimates for impulsive delay reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincaré inequality
(Tatra Mountains Mathematical Publication, 2013-04). An impulsive Cohen-Grossberg neural network with time-varying and S-type distributed delays and reaction-diffusion terms is considered. By using Hardy-Poincar´e inequality instead of Hardy-Sobolev inequality or just ... -
Global Exponential Stability of Impulsive Cohen-Grossberg-Type BAM Neural Networks with Time-Varying and Distributed Delays
(IJAPM, 2014-05)—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 ... -
Existence theorem for semilinear impulsive functional differential equations with nonlocal conditions
(IJAPM, 2013-05)—The existence, uniqueness and continuous dependence of a mild solution of a Cauchy problem for semilinear impulsive first and second orderfunctional differential-equations with nonlocal conditions in general Banach ... -
Discrete-time Cohen-Grossberg neural networks with transmission delays and impulses
(Tatra Mountains Mathematical Publication, 2008-08). A discrete-time analogue is formulated for an impulsive Cohen- -Grossberg neural network with transmission delay in a manner in which the global exponential stability characterisitics of a unique equilibrium point of ... -
Discrete-time counterparts of impulsive Cohen-Grossberg neural networks of neutral type
(Dynamic Publishers, 2011-07)The discrete-time counterpart of an impulsive Cohen-Grossberg neural network of neutral type is introduced. Sufficient conditions for the existence and global asymptotic stability of a unique equilibrium point of the ... -
On a mild solution of a semilinear functional-differential evolution nonlocal problem
(Hindawi, 1997-05)The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation in a general Banach space are studied. Methods of a Co semigroup ... -
Existence of solutions of a semilinear functional-differential evolution nonlocal problem
(PERGAMON, 1997-06)In this paper we study the existence of mild and classical solutions of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation. Methods of the functional analysis concerning to a compact ... -
Continuous-time additive Hopfield-type neural networks with impulses
(Elsevier, 2003-01)We investigate the global stability characteristics of a system of equations modelling the dynamics of additive Hopfield-type neural networks with impulses in the continuous-time case. -
Existence of a Mild Solution to a Second-Order Impulsive Functional-Differential Equation with a Nonlocal Condition
(Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, 2020-04)An abstract second-order semilinear functional-differential equation such that the linear part of its right-hand side is given by the infinitesimal generator of a strongly continuous cosine family of bounded linear operators, ... -
Recent Trends in Computational and Theoretical Aspects in Differential and Difference Equations
(Hindawi, 2017-09)Differential and difference equations are used for modeling, solving, and discussing many problems arising in engineering and natural sciences. Therefore, analysis of analytical and numerical solutions to such equations ... -
An Abstract Impulsive Second-Order Functional-Differential Cauchy Problem with Nonlocal Conditions
(Springer Link, 2020-10)The main concern of the paper is to prove the existence, uniqueness and continuous dependence of mild and classical solutions of a semilinear impulsive second-order functional-differential equation with nonlocal initial ... -
Stable boundary control of a parabolic equation
(MATH -Nat Ru, 2012-02)A problem of boundary control is considered for a differential equation with distributed parameters. It is required to design an algorithm that forms a feedback control and guarantees a prescribed quality of the controlled ... -
Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays
(Springer Link, 2003-09)A neutral impulsive system with a small delay of the argument of the derivative and another delay which differs from a constant by a periodic perturbation of a small amplitude is considered. If the corresponding system ... -
Periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays
(Springer Link, 2003-09)A neutral impulsive system with a small delay of the argument of the derivative and another delay which differs from a constant by a periodic perturbation of a small amplitude is considered. If the corresponding system ... -
The q-derivative and differential equation
(IOPScience, 2019-07)The q-calculus appeared as a connection between mathematics and physics. It has several applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hypergeometric ... -
Exponential stability of neural networks with time-varying delays and impulses
(Springer Link, 2006-01)We present sufficient conditions for the uniqueness and exponential stability of equilibrium points of impulsive neural networks which are a generalization of Cohen-Grossberg neural networks. -
Existence of periodic solutions for the discrete-time counterpart of a neutral-type cellular neural network with time-varying delays and impulses
(AIP, 2017-07)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 ... -
Discrete-time counterparts of impulsive Hopfield neural networks with leakage delays
(Springer Link, 2013-07)A discrete-time counterpart of a class of Hopfield neural networks with impulses and concentrated and infinite distributed delays as well as a small delay in the leakage terms is introduced. Sufficient conditions for the ... -
On the use of spline functions of even degree for the numerical solution of the delay differential equations
(Springer Link, 1995-03)One considers and investigates the notion of natural spline functions of even degree, satisfying given derivative-interpolating conditions on simple knots. By using such spline functions we shall develop some theory and ... -
Qualitative analysis of dynamic activity patterns in neural networks
(Hindawi, 2011-07)Neural networks have recently been widely used to model some of the human activities in many areas of science and engineering. Mathematical modeling in neural networks has been based on “neurons” that is different both ... -
Uncertain dynamical systems: analysis and applications
(Hindawi, 2013-06)Many real word phenomena exist under the conditions of structural uncertainty. Also, in many applications of dynamical systems the uncertainties happen frequently due to modeling errors, measurement inaccuracy, mutations ... -
Input-to-state stability for impulsive switched systems with incommensurate impulsive switching signals
(Science Direct, 2019-08)This work mainly studies the input-to-state stability (ISS) property of impulsive switched systems with incommensurate impulsive switching signals, where the switching instant is different from the impulse jump instant. ... -
Difference approximations for impulsive differential equations
(Science Direct, 2001-10)A convergent difference approximation is obtained for a nonlinear impulsive system in a Banach space. -
Comparison principle for impulsive functional differential equations with infinite delays and applications
(Science Direct, 2017-10)We introduce the Razumikhin technique to comparison principle and establish some comparison results for impulsive functional differential equations (IFDEs) with infinite delays, where the infinite delays may be infinite ... -
An oscillation criterion for delay differential equations with several non-monotone arguments H Akca, GE Chatzarakis, IP Stavroulakis
(Science Direct, 2016-03)The oscillatory behavior of the solutions to a differential equation with several non-monotone delay arguments and non-negative coefficients is studied. A new sufficient oscillation condition, involving , is obtained. An ... -
Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions
(Science Direct, 2013-03)In this paper, a class of impulsive infinite delay differential equations is considered. By employing Lyapunov–Razumikhin method and analysis techniques, several new sufficient conditions ensuring the uniform stability are ... -
Impulsive functional-differential equations with nonlocal conditions
(Hindawi, 2001-08)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 ... -
LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter
(Science Direct, 2003-11)In this paper, a class of singularly perturbed nonlinear impulsive delay differential systems is considered, where the time delays include a small parameter. Based on Lyapunov–Krasovskii functional and free weighting matrix ... -
Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays
(OUP, 2015-02)This paper investigates the stabilization problem of neural networks with unbounded continuously distributed delays via impulsive control. By establishing an impulsive infinite delay differential inequality from the impulsive ... -
Exponential stability of artificial neural networks with distributed delays and large impulses
(Science Direct, 2007-02)This paper illustrates that there is a globally exponentially stable unique equilibrium state in an artificial neural network that is subject to delays distributed over unbounded intervals, and also to large impulses that ... -
The impact of technology on At-Risk Student's achievement
(NSP, 2018)n university education a lot of emphasis is placed on the use of a technology enhanced learning environment in teaching to enhance the student learning experience. This paper sought to investigate the impact of such ... -
MULTISTAGE BERNSTEIN POLYNOMIALS FOR SOLVING STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS
(2017-06-03)This paper aims to apply a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials method (MB-polynomials) to solve stiff systems of ordinary differential equations. The MB-polynomials ... -
Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions
(Science direct, 2017-01-01)An algorithm for approximating solutions to fractional differential equations (FDEs) in a modified new Bernstein polynomial basis is introduced. Writing x→xα(0<α<1) in the operational matrices of Bernstein polynomials, ...
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