Lucas Polynomial solution of Nonlinear Differential Equations with Variable Delay

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

Numerical Simulations for Variable-order Fractional Nonlinear Delay Differential Equations

In this paper numerical studies for the variable-order fractional delay differential equations are presented. Adams-Bashforth-Moulton algorithm has been extended to study this problem, where the derivative is defined in the Caputo variable-order fractional sense. Special attention is given to prove the error estimate of the proposed method. Numerical test examples are presented to demonstrate u...

A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations

This work presents an analytical solution of some nonlinear delay differential equations (DDEs) with variable delays. Such DDEs are difficult to treat numerically and cannot be solved by existing general purpose codes. A new method of steps combined with the differential transform method (DTM) is proposed as a powerful tool to solve these DDEs. This method reduces the DDEs to ordinary different...

Tau Numerical Solution of Volterra Integro-Differential Equations With Arbitrary Polynomial Bases

Nonlinear Delay-differential Equations with Small Lag

MANUEL PINTO Departamento de Matemiticas Facultad de Ciencias Universidad de Chile Casilla 653 Santiago, CHILE (Received October 4, 1994 and in revised form April 6,1995) ABSTRACT. Asymptotic formulae for the solutions of nonlinear functional differential system are obtained.