Article

Problems with shifts for mixed elliptic-hyperbolic equations

M. Kh. RuzievInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, ul. Durman iuli 29, Tashkent, 100125, Republic of Uzbekistan

Russian Mathematicsjournal2011en

ABI

Abstract

In this paper we study a problem with a shift, where some characteristics are free from boundary conditions; the absent V. I. Zhegalov and A. M. Nakhushev conditions are replaced with an analog of F. Frankl condition on a segment of the degeneration line. We prove the unique solvability of the mentioned problem with the help of the extremum principle. The proof of the solvability is based on the theory of singular integral equations, Wiener-Hopf equations, and Fredholm integral equations.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.3103/s1066369x12010100

Citations and references

Cited by 3 6 references

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