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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 7, Pages 57–66
(Mi ivm9259)
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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
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.
Received: 18.03.2016
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
Linking options:
https://www.mathnet.ru/eng/ivm9259 https://www.mathnet.ru/eng/ivm/y2017/i7/p57
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