Boundary value problems with displacement for the Lavrent'ev–Bitsadze equation with two perpendicular lines of changing type with spectral parameter

Abstract

In this work, some non-local problems for the Lavrent'ev–Bitsadze equation with non-smooth line of changing type and with spectral parameter are considered and the uniqueness of the solution is proved by the method of energy integrals.

Keywords:

• Mixed
• Elliptical hyperbolic type equations
• Spectral parameter
• Non-local problems
• Energy integral
• Singular integral equation

Keywords:

• AMS 2000 Mathematics Subject Classifications
• Primary 35M10
• Secondary 35P05
• 35A05

Acknowledgement

The author is grateful to Professor M.S. Salakhitdinov for the useful remarks.