Browsing Mathematics by Title
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An Abstract Impulsive SecondOrder FunctionalDifferential Cauchy Problem with Nonlocal Conditions
(Springer Link, 202010)The main concern of the paper is to prove the existence, uniqueness and continuous dependence of mild and classical solutions of a semilinear impulsive secondorder functionaldifferential equation with nonlocal initial ... 
Almost periodic solutions of neutral impulsive systems with periodic timedependent perturbed delays
(Springer Link, 200309)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 ... 
Approximate solutions of nonsingular linear differential equation using Bernstein operational matrix of differentiation.
(The 2014 International Conference on Mathematics (SKSM22), University Malaya, Malaysia., 2014)In this paper, exact and approximate analytical solutions of a nonsingular linear diﬀerential equations are obtained by the Bernstein operational matrix of diﬀerentiation. Diﬀerent from other numerical techniques, Bernstein ... 
Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials
(2015)We present an approximate solution depending on collocation method and Bernstein polynomials for numerical solution of a singular nonlinear diﬀerential equations with the mixed conditions. The method is given with two ... 
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 operatordifferential equations
(1994)Some asymptotic properties of the nonoscillating solutions of operatordifferential equations of arbitrary order are investigated. 
Bernstein polynomials for solving nonlinear stiff system of ordinary differential equations
(AIP Publishing, 2015)In this paper, Bernstein polynomials method (Bpolynomials) is applied to solve nonlinear Stiff systems of ordinary differential equations. We present an approximate solution depends on Bernstein polynomials method and ... 
Common fixed point theorems for weakly compatible selfmappings 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. 
Comparison principle for impulsive functional differential equations with infinite delays and applications
(Science Direct, 201710)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 ... 
Complex Harmonic Splines and Applications
(Pushpa Publishing House, 201606)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. 
Continuoustime additive Hopfieldtype neural networks with impulses
(Elsevier, 20040215)We investigate the global stability characteristics of a system of equations modelling the dynamics of additive Hopfieldtype neural networks with impulses in the continuoustime case 
Continuoustime additive Hopfieldtype neural networks with impulses
(Elsevier, 200301)We investigate the global stability characteristics of a system of equations modelling the dynamics of additive Hopfieldtype neural networks with impulses in the continuoustime case. 
Difference approximations for impulsive differential equations
(Science Direct, 200110)A convergent difference approximation is obtained for a nonlinear impulsive system in a Banach space. 
DISCRETETIME COHENGROSSBERG NEURAL NETWORKS WITH TRANSMISSION DELAYS AND IMPULSES
(Versita, 20121112)A discretetime 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 the ... 
Discretetime CohenGrossberg neural networks with transmission delays and impulses
(Tatra Mountains Mathematical Publication, 200808). A discretetime 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 ... 
Discretetime counterparts of impulsive CohenGrossberg neural networks of neutral type
(Dynamic Publishers, 201107)The discretetime counterpart of an impulsive CohenGrossberg neural network of neutral type is introduced. Sufficient conditions for the existence and global asymptotic stability of a unique equilibrium point of the ... 
Discretetime counterparts of impulsive Hopfield neural networks with leakage delays
(Springer Link, 201307)A discretetime 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 ... 
Existence of a Mild Solution to a SecondOrder Impulsive FunctionalDifferential Equation with a Nonlocal Condition
(Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, 202004)An abstract secondorder semilinear functionaldifferential equation such that the linear part of its righthand side is given by the infinitesimal generator of a strongly continuous cosine family of bounded linear operators, ... 
Existence of Extremal Solutions of Differential Equations with Delay in Banach Spaces
(201503): 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 ... 
Existence of periodic solutions for the discretetime counterpart of a neutraltype cellular neural network with timevarying delays and impulses
(AIP, 201707)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 semidiscretization ...