On approximation of solutions of differential-difference equations |
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| Author |
Yuriy Fedkovych Chernivtsi National University, 2 Kotsiubynskoho St., Chernivtsi 273012, Ukraine
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| Abstract |
In this paper we investigate an algorithm of approximation of
defferential-difference equations by systems of ordinary differential
equations. We investigate
conditions for convergence of solutions of
approximating systems to solutions of initial problem in a finite
interval. The value of precision of approximation for different classes of
function is obtained.
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| Keywords |
differential-difference equations, approximation algorithm, ordinary differential equations, convergence of solutions, finite interval
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| DOI |
doi:10.30970/ms.9.2.187-192
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Reference |
1. Репин Ю.М. О приближенной замене систем с запаздыванием обыкновенными дифференциальными уравнениями. Прикл. математика и механика, 2 (1965), 226–235.
2. Курганский А.В. К аппроксимации линейных уравнений с запаздыванием. Дифференц. уравнения, 3 (1967), №8, 2094–2107. 3. Szczepaniak P., Burmister H. On the approximate solution of neutral differential-difference equation. Postepy cybernetyki, 7 (1984), №2, 69–82. 4. Лакшмикантам В., Леела С., Мартынюк А.А. Устойчивость движения: метод сравнения. Киев: Наукова думка, 1991. |
| Pages |
187-192
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| Volume |
9
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| Issue |
2
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| Year |
1998
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| Journal |
Matematychni Studii
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