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A nonlinear system of differential equations with distributed delays

Chocholatý, Pavol (2010)

Programs and Algorithms of Numerical Mathematics

It is well-known that the environments of most natural populations change with time and that such changes induce variation in the growth characteristics of population which is often modelled by delay differential equations, usually with time-varying delay. The purpose of this article is to derive a numerical solution of the delay differential system with continuously distributed delays based on a composition of p -step methods ( p = 1 , 2 , 3 , 4 , 5 ) and quadrature formulas. Some numerical results are presented compared...

Approximation of solutions of a difference-differential equation

B. G. Pachpatte (2010)

Archivum Mathematicum

In the present paper we study the approximate solutions of a certain difference-differential equation under the given initial conditions. The well known Gronwall-Bellman integral inequality is used to establish the results. Applications to a Volterra type difference-integral equation are also given.

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