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[PDF] Top 20 On approximation of the solutions of delay differential equations by using piecewise constant arguments

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On approximation of the solutions of delay differential equations by using piecewise constant arguments

On approximation of the solutions of delay differential equations by using piecewise constant arguments

... ON APPROXIMATION OF THE SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS BY USING PIECEWlSE CONSTANT ARGUMENTS ISTVAN.. Department of Mathematics, The University of Rhode Island Kingston, Rhode[r] ... See full document

16

On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments

On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments

... periodical solutions of th e second-order neutral delay differential equations w ith piecewise constant a rgum ents of th e form x"(t) + px "( t - 1) = qx(2[£+-]) + f ... See full document

17

8. Convergence in an impulsive advanced  differential equations with piecewise constant argument

8. Convergence in an impulsive advanced differential equations with piecewise constant argument

... of solutions was studied for some functional differential equations ([5],[7],[8],[10],[12],[14]-[19]) and as well the same problem has been considered for some impulsive delay ... See full document

14

Ergodic type solutions of differential equations with piecewise constant arguments

Ergodic type solutions of differential equations with piecewise constant arguments

... Introduction. Equations with piecewise continuous arguments (EPCA) arise in an attempt to extend the theory of functional differential equations with continuous arguments to differential ... See full document

11

Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument

Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument

... Differential equations with piecewise constant argument, which were firstly considered by Cooke and Wiener 1, and Shah and Wiener 2, usually describe hybrid dynamical systems a combination of ... See full document

11

Oscillation of Runge Kutta methods for advanced impulsive differential equations with piecewise constant arguments

Oscillation of Runge Kutta methods for advanced impulsive differential equations with piecewise constant arguments

... differential equations with piecewise constant ar- guments has been intensively ...differential equations without impulses and noted that such equations were related to impulsive and ... See full document

13

A survey of partial differential equations with piecewise continuous arguments

A survey of partial differential equations with piecewise continuous arguments

... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document

20

Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions

Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions

... Periodic Differential Equations (PDDEs) have been of importance for studying problems of vibration, mechanics, astronomy, electric circuits, biology among others in [1] several examples of delay ... See full document

23

Invariant curves for a delay differential equation with a piecewise constant argument

Invariant curves for a delay differential equation with a piecewise constant argument

... least piecewise continuous function, is ...the solutions of () in ...the solutions of () in ...the solutions of systems of two differential equations with piecewise ... See full document

7

Existence of Periodic Solutions in a Discrete Predator Prey System with
Beddington DeAngelis Functional Responses

Existence of Periodic Solutions in a Discrete Predator Prey System with Beddington DeAngelis Functional Responses

... erential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with Beddington- DeAngelis functional responses is ...By ... See full document

19

BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS

BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS

... of differential equations with piecewise constant arguments of various types as retarded, advanced and mixed types have been investigated, intensively in [1],[2],[4],[5],[11] (see also ... See full document

8

On the Spectrum of Almost Periodic Solution of Second Order Neutral Delay Differential Equations with Piecewise Constant of Argument

On the Spectrum of Almost Periodic Solution of Second Order Neutral Delay Differential Equations with Piecewise Constant of Argument

... Differential equations with piecewise constant argument, which were firstly considered by Cooke and Wiener 1 and Shah and Wiener 2, combine properties of both differential and difference ... See full document

14

Numerical stability and oscillation of the Runge Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type

Numerical stability and oscillation of the Runge Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type

... numerical solutions of delay differen- tial equations with piecewise continuous arguments, such as ...of delay differential equations and delay difference equa- tions, ... See full document

13

Oscillations of Solutions of Neutral Nonlinear Differential Equations

Oscillations of Solutions of Neutral Nonlinear Differential Equations

... functional differential equations with piecewise constant arguments, see, for example in literature ...functional differential equations with piecewise ... See full document

9

Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method

Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method

... The VIM has been favorably applied to various kinds of linear and nonlinear problems. The main property of the method is in flexibility and ability to solve linear and nonlinear equations accurately and ... See full document

6

A parabolic differential equation with unbounded piecewise constant delay

A parabolic differential equation with unbounded piecewise constant delay

... Integral transforms were successfully used to find the solutions of initial value problems for linear partial differential equations with piecewise constant delay.. It has been shown in [r] ... See full document

8

On the method of finding periodic solutions of second order neutral differential equations with piecewise constant arguments

On the method of finding periodic solutions of second order neutral differential equations with piecewise constant arguments

... n-periodic solutions of () for f with ...periodic solutions of the equation is ...linear equations is also demon- ...easily using the properties of a linear algebraic system. Some ... See full document

17

Stability of numerical solution for partial differential equations with piecewise constant arguments

Stability of numerical solution for partial differential equations with piecewise constant arguments

... analytic solutions of EPCA are hard to achieve and we are forced to use numerical methods to approximate ...numerical solutions for EPCA have been reported ...differential equations with ... See full document

13

On a class of third order neutral delay differential equations with piecewise constant argument

On a class of third order neutral delay differential equations with piecewise constant argument

... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ... See full document

5

Solving Delay Differential Equations with Constant Lags using RKCeM Method

Solving Delay Differential Equations with Constant Lags using RKCeM Method

... the delay differential equations with constant ...single delay and multiple delays. To interpolate the delay term, both linear interpolation and Lagrange interpolation have been ... See full document

9

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