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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2016 Number 3, Pages 65–71 (Mi ivm9093)

This article is cited in 4 papers

On positiveness of a solution to inhomogeneous mixed type equation of higher order

K. B. Sabitovab

a Laboratory of Differential Equations, Institute of Applied Research of Bashkortostan Republic, 68 Odesskaya str., Sterlitamak, 453103 Russia
b Chair of Higher Mathematics, Samara State Architecture and Civil Engineering, 194 Molodogvardeiskaya str., Samara, 443001 Russia

Abstract: For an inhomogeneous equation of mixed elliptic-hyperbolic type of higher order we establish sign-definiteness of a solution depending on the sign of the right-side side.

Keywords: mixed type equation, high order, maximum principle, positivity of solution.

UDC: 517.957

Received: 11.08.2014


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:3, 56–62

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© Steklov Math. Inst. of RAS, 2026