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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 7, Pages 57–66 (Mi ivm9259)  
On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order

K. B. Sabitovabc

a Sterlitamak branch of Bashkir State University, 31 Lenin Ave., Sterlitamak, 453103 Russia
b Sterlitamak branch of the Institute of for Strategic Studies of Bashkortostan Republic, 68 Odesskaya str., Sterlitamak, 453103 Russia
c Institute of Applied Research of Bashkortostan Republic, 68 Odesskaya str., Sterlitamak, 453103 Russia
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Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97003_р_поволжье_а
Received: 18.03.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 7, Pages 49–57
DOI: https://doi.org/10.3103/S1066369X17070076
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: K. B. Sabitov, “On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7, 57–66; Russian Math. (Iz. VUZ), 61:7 (2017), 49–57
Citation in format AMSBIB
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\by K.~B.~Sabitov
\paper On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 7
\pages 57--66
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 7
\pages 49--57
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