On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2017), pp. 57-66
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For polycaloric equation and mixed parabolic-hyperbolic equation of the second order we ascertain a fixed sign solution depending on the right-hand side. Then, based on these results for the non-homogeneous equation of mixed parabolic-hyperbolic type of higher order, we invetsigate a fixed sign solution depending on the right-hand side.
Keywords:
polycaloric equation, mixed parabolic-hyperbolic type of second and higher orders, maximum principle, fixed sign solution.
@article{IVM_2017_7_a6,
author = {K. B. Sabitov},
title = {On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {57--66},
publisher = {mathdoc},
number = {7},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2017_7_a6/}
}
TY - JOUR AU - K. B. Sabitov TI - On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2017 SP - 57 EP - 66 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2017_7_a6/ LA - ru ID - IVM_2017_7_a6 ER -
K. B. Sabitov. On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2017), pp. 57-66. http://geodesic.mathdoc.fr/item/IVM_2017_7_a6/