TY - JOUR
T1 - Volterra integro-differential equations and infinite systems of ordinary differential equations
AU - Goltser, Y.
AU - Litsyn, E.
N1 - Funding Information:
The research was supported by the Kamea Program of the Ministry of Science of the State of Israel.
PY - 2005/7
Y1 - 2005/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=26844569929&partnerID=8YFLogxK
U2 - 10.1016/j.mcm.2004.01.014
DO - 10.1016/j.mcm.2004.01.014
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AN - SCOPUS:26844569929
SN - 0895-7177
VL - 42
SP - 221
EP - 233
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
IS - 1-2
ER -