Browsing Mathematics by Title
Now showing items 1-20 of 60
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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 ... -
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 ... -
Approximate solutions of non-singular 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 non-singular 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 operator-differential 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 (B-polynomials) 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 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. -
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 ... -
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. -
Continuous-time additive Hopfield-type neural networks with impulses
(Elsevier, 2004-02-15)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 -
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. -
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. -
DISCRETE-TIME COHEN-GROSSBERG NEURAL NETWORKS WITH TRANSMISSION DELAYS AND IMPULSES
(Versita, 2012-11-12)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 the ... -
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 ... -
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 ... -
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, ... -
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 ... -
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 ...