Solution of the spatial Tricomi problem for a~singular mixed-type equation by the method of integral equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2011), pp. 69-85
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We consider a singular differential equation of mixed type in a bounded spatial domain of special form. We prove the existence and uniqueness of the solution to the Tricomi problem.
Keywords:
method of integral equations, singular equation, Cauchy problem, Tricomi problem.
@article{IVM_2011_3_a7,
author = {I. T. Nazipov},
title = {Solution of the spatial {Tricomi} problem for a~singular mixed-type equation by the method of integral equations},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {69--85},
publisher = {mathdoc},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2011_3_a7/}
}
TY - JOUR AU - I. T. Nazipov TI - Solution of the spatial Tricomi problem for a~singular mixed-type equation by the method of integral equations JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 69 EP - 85 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_3_a7/ LA - ru ID - IVM_2011_3_a7 ER -
%0 Journal Article %A I. T. Nazipov %T Solution of the spatial Tricomi problem for a~singular mixed-type equation by the method of integral equations %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2011 %P 69-85 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2011_3_a7/ %G ru %F IVM_2011_3_a7
I. T. Nazipov. Solution of the spatial Tricomi problem for a~singular mixed-type equation by the method of integral equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2011), pp. 69-85. http://geodesic.mathdoc.fr/item/IVM_2011_3_a7/