Abstract
We establish a connection between finite-dimensional systems of integro-differential equations with the Hilbert-Schmidt kernel and ordinary differential equations in l2 (countable systems of differential equations). Such a reduction allows use of results obtained earlier for the countable systems of differential equations in study of integro-differential equations. In particular, it can be employed for study of stability and solutions' constructions for integro-differential equations.
Original language | English |
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Pages (from-to) | 221-233 |
Number of pages | 13 |
Journal | Mathematical and Computer Modelling |
Volume | 42 |
Issue number | 1-2 |
DOIs | |
State | Published - 1 Jul 2005 |
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Science Applications