To the theory of Volterra integral equations of the first kind with discontinuous kernels
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 824-839
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A nonclassical Volterra linear integral equation of the first kind describing the dynamics of an developing system with allowance for its age structure is considered. The connection of this equation with the classical Volterra linear integral equation of the first kind with a piecewise-smooth kernel is studied. For solving such equations, the quadrature method is applied.
@article{ZVMMF_2016_56_5_a8,
author = {A. S. Apartsin},
title = {To the theory of {Volterra} integral equations of the first kind with discontinuous kernels},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {824--839},
publisher = {mathdoc},
volume = {56},
number = {5},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a8/}
}
TY - JOUR AU - A. S. Apartsin TI - To the theory of Volterra integral equations of the first kind with discontinuous kernels JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 824 EP - 839 VL - 56 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a8/ LA - ru ID - ZVMMF_2016_56_5_a8 ER -
%0 Journal Article %A A. S. Apartsin %T To the theory of Volterra integral equations of the first kind with discontinuous kernels %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 824-839 %V 56 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a8/ %G ru %F ZVMMF_2016_56_5_a8
A. S. Apartsin. To the theory of Volterra integral equations of the first kind with discontinuous kernels. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 824-839. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a8/