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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.
Received: 02.03.2015
Citation:
K. B. Sabitov, “Solutions of Fixed Sign of Higher-Order Inhomogeneous Equations of Mixed Elliptic-Hyperbolic Type”, Mat. Zametki, 100:3 (2016), 433–440; Math. Notes, 100:3 (2016), 458–464
Linking options:
https://www.mathnet.ru/eng/mzm10697https://doi.org/10.4213/mzm10697 https://www.mathnet.ru/eng/mzm/v100/i3/p433
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