The Cauchy problem for singular systems of heat equations with Fredholm operator of time-derivative in Banach spaces
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 2, pp. 46-54
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In this paper matrix fundamental operator-function for singular heat operator with Fredholm operator of time-derivative is built. The formula for the generalized solution of the corresponding Cauchy problem are got.
Keywords:
singular heat operator; matrix fundamental operator-function; Fredholm operator.
@article{IIGUM_2012_5_2_a3,
author = {O. V. Slastnaya},
title = {The {Cauchy} problem for singular systems of heat equations with {Fredholm} operator of time-derivative in {Banach} spaces},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {46--54},
publisher = {mathdoc},
volume = {5},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2012_5_2_a3/}
}
TY - JOUR AU - O. V. Slastnaya TI - The Cauchy problem for singular systems of heat equations with Fredholm operator of time-derivative in Banach spaces JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2012 SP - 46 EP - 54 VL - 5 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2012_5_2_a3/ LA - ru ID - IIGUM_2012_5_2_a3 ER -
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O. V. Slastnaya. The Cauchy problem for singular systems of heat equations with Fredholm operator of time-derivative in Banach spaces. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 2, pp. 46-54. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_2_a3/