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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 100, Issue 3, Pages 433–440 (Mi mzm10697)
Solutions of Fixed Sign of Higher-Order Inhomogeneous Equations of Mixed Elliptic-Hyperbolic Type

K. B. Sabitov

Institute of Applied Research, Sterlitamak

Abstract: For a higher-order inhomogeneous equation of mixed elliptic-hyperbolic type, the property of the solution to be of fixed sign is established, depending on the sign of the right-hand side.

Keywords: inhomogeneous equation of mixed type, Lavrentev–Bitsadze operator, high-order equation, polyharmonic equation.

UDC: 517.95

Received: 02.03.2015

DOI: 10.4213/mzm10697


 English version: Mathematical Notes, 2016, 100:3, 458–464

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© Steklov Math. Inst. of RAS, 2025