Volterra integro-differential equations and infinite systems of ordinary differential equations

Y. Goltser, E. Litsyn

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 languageEnglish
Pages (from-to)221-233
Number of pages13
JournalMathematical and Computer Modelling
Volume42
Issue number1-2
DOIs
StatePublished - 1 Jul 2005

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

Fingerprint

Dive into the research topics of 'Volterra integro-differential equations and infinite systems of ordinary differential equations'. Together they form a unique fingerprint.

Cite this