On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order

K. B. Sabitov

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2017), pp. 57-66.

Résumé

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.

Détail

Keywords: polycaloric equation, mixed parabolic-hyperbolic type of second and higher orders, maximum principle, fixed sign solution.

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