On a family of singular integro-differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 9, pp. 1665-1673
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Integro-differential systems in which the matrix multiplying the derivative of the unknown vector function is identically singular are analyzed. This analysis is based on the special properties of the matrix polynomials associated with the original system. An existence theorem is proved, and a numerical method for finding the solution is proposed and justified.
@article{ZVMMF_2011_51_9_a7,
author = {M. V. Bulatov and E. V. Chistyakova},
title = {On a~family of singular integro-differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1665--1673},
publisher = {mathdoc},
volume = {51},
number = {9},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a7/}
}
TY - JOUR AU - M. V. Bulatov AU - E. V. Chistyakova TI - On a family of singular integro-differential equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 1665 EP - 1673 VL - 51 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a7/ LA - ru ID - ZVMMF_2011_51_9_a7 ER -
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M. V. Bulatov; E. V. Chistyakova. On a family of singular integro-differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 9, pp. 1665-1673. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a7/