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

Authors:
Y. Goltser;E. Litsyn
Affiliations:
-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 2
Cited 0

Stability of a linear integro-differential equation with periodic coefficients

Quarterly of Applied Mathematics
Integral Equations and Stability of Feedback Systems

Integral Equations and Stability of Feedback Systems

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Abstract

We establish a connection between finite-dimensional systems of integro-differential equations with the Hilbert-Schmidt kernel and ordinary differential equations in l"2 (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.