Browsing Mathematics by Issue Date
Now showing items 120 of 60

Oscillation criterion for certain second order differential equations
(199001)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 ... 
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. 
On the use of spline functions of even degree for the numerical solution of the delay differential equations
(Springer Link, 199503)One considers and investigates the notion of natural spline functions of even degree, satisfying given derivativeinterpolating conditions on simple knots. By using such spline functions we shall develop some theory and ... 
On a mild solution of a semilinear functionaldifferential evolution nonlocal problem
(Hindawi, 199705)The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functionaldifferential evolution equation in a general Banach space are studied. Methods of a Co semigroup ... 
Existence of solutions of a semilinear functionaldifferential evolution nonlocal problem
(PERGAMON, 199706)In this paper we study the existence of mild and classical solutions of a nonlocal Cauchy problem for a semilinear functionaldifferential evolution equation. Methods of the functional analysis concerning to a compact ... 
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. 
Impulsive functionaldifferential equations with nonlocal conditions
(Hindawi, 200108)The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functionaldifferential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a ... 
Difference approximations for impulsive differential equations
(Science Direct, 200110)A convergent difference approximation is obtained for a nonlinear impulsive system in a Banach space. 
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. 
Impulsive CohenGrossberg neural networks with Stype distributed delays and reactiondiffusion terms
(Tatra Mountains Mathematical Publication, 200308)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 ... 
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 ... 
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 ... 
LMIbased stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter
(Science Direct, 200311)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 ... 
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 functionaldifferential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, ... 
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 
Periodic solutions of the discrete counterpart of an impulsive system with a small delay
(Antalya, Turkey, 200407)A discrete analogue of an impulsive system with a small delay is considered. If the corresponding system without delay has an isolated ωperiodic solution, then in any neighbourhood of this orbit the discrete system also ... 
Stability of neural networks with time varying delays in the presence of impulses
(Research India Publications, 200601)We develop a new approach to the stability analysis of Hopfieldtype neural networks with time varying delays in the presence of impulses. With the new approach, we improve and generalize some previous works of other ... 
Exponential stability of neural networks with timevarying delays and impulses
(Springer Link, 200601)We present sufficient conditions for the uniqueness and exponential stability of equilibrium points of impulsive neural networks which are a generalization of CohenGrossberg neural networks. 
Exponential stability of artificial neural networks with distributed delays and large impulses
(Science Direct, 200702)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 ... 
PRACTICAL ANALYSIS AND MATHEMATICAL MODELING OF HARMONIC DISTORTIONS CAUSED BY ELECTRONIC LOADS
(7th IASTED Conf. on Power and Energy Systems EuroPES 2007, 20070829)Electronic loads draw nonsinusoidal current waveforms which produce undesired frequency contents known as harmonics in power distribution networks. Power Quality of distribution networks is severely affected due to generated ...