The Cauchy problem for evolution equations with the Bessel operator of infinite order.~II
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 31-42
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We prove the correct solvability of the Cauchy problem for singular evolution equations of infinite order in classes of initial conditions that are generalized functions like ultra-distributions (analytic functionals).
Keywords:
Cauchy problem, Bessel operator of infinite order.
Mots-clés : evolution equation, distribution
Mots-clés : evolution equation, distribution
@article{IVM_2010_7_a2,
author = {V. V. Gorodestkii and O. V. Martynyuk},
title = {The {Cauchy} problem for evolution equations with the {Bessel} operator of infinite {order.~II}},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {31--42},
publisher = {mathdoc},
number = {7},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2010_7_a2/}
}
TY - JOUR AU - V. V. Gorodestkii AU - O. V. Martynyuk TI - The Cauchy problem for evolution equations with the Bessel operator of infinite order.~II JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2010 SP - 31 EP - 42 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2010_7_a2/ LA - ru ID - IVM_2010_7_a2 ER -
%0 Journal Article %A V. V. Gorodestkii %A O. V. Martynyuk %T The Cauchy problem for evolution equations with the Bessel operator of infinite order.~II %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2010 %P 31-42 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2010_7_a2/ %G ru %F IVM_2010_7_a2
V. V. Gorodestkii; O. V. Martynyuk. The Cauchy problem for evolution equations with the Bessel operator of infinite order.~II. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 31-42. http://geodesic.mathdoc.fr/item/IVM_2010_7_a2/