Browsing Mathematics by Issue Date
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Wave forces related to waves conditions and structures characteristics
(Ovidius University Annals Series, 200804)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. Wavegenerated pressures on structures related to ... 
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 ... 
Spatial discretization of an impulsive CohenGrossberg neural network with timevarying and distributed delays and reactiondiffusion terms
(Tatra Mountains Mathematical Publication, 200901)An impulsive CohenGrossberg neural network with timevarying and distributed delays and reactiondiffusion terms is considered. The reactiondiffusion terms are approximated by divided differences. For simplicity of ... 
mpulsive CohenGrossberg neural networks with Stype distributed delays
(Tatra Mountains Mathematical Publication, 201008)We study impulsive CohenGrossberg neural networks with Stype 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 ... 
Qualitative Analysis of Dynamic Activity Patterns in Neural Networks
(Hindawi Publishing Corporation, 2011)An abstract second order differential equation such that the linear part of the righthand side is given by the infinitesimal generator of a strongly continuous cosine family of bounded linear operators while the nonlinear ... 
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 ... 
Qualitative analysis of dynamic activity patterns in neural networks
(Hindawi, 201107)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 ... 
Stable boundary control of a parabolic equation
(MATH Nat Ru, 201202)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 ... 
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 ... 
On tracking of solutions of parabolic variational inequalities
(Turkic World Mathematical Society, 201212)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 ... 
Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions
(Science Direct, 201303)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 ... 
Improved stability estimates for impulsive delay reactiondiffusion CohenGrossberg neural networks via HardyPoincaré inequality
(Tatra Mountains Mathematical Publication, 201304). An impulsive CohenGrossberg neural network with timevarying and Stype distributed delays and reactiondiffusion terms is considered. By using HardyPoincar´e inequality instead of HardySobolev inequality or just ... 
Existence theorem for semilinear impulsive functional differential equations with nonlocal conditions
(IJAPM, 201305)—The existence, uniqueness and continuous dependence of a mild solution of a Cauchy problem for semilinear impulsive first and second orderfunctional differentialequations with nonlocal conditions in general Banach ... 
Uncertain dynamical systems: analysis and applications
(Hindawi, 201306)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 ... 
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 ... 
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 ... 
Uncertain Dynamical Systems 2014
(Hindawi Publishing Corporation, 2014)The theory and applications of uncertain dynamical systems have become an active research subject in nonlinear science and have attracted more attention in many fields. The methods used in the investigation of their ... 
Global Exponential Stability of Impulsive CohenGrossbergType BAM Neural Networks with TimeVarying and Distributed Delays
(IJAPM, 201405)—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 CohenGrossberg dynamics. By constructing and ... 
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 ... 
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 ...