THE WELL-POSEDNESS OF MIXED PROBLEM FOR ONE CLASS OF DEGENERATE MULTI-DIMENSIONAL HYPERBOLIC EQUATIONS

  • S. A. Aldashev Institute of Mathematics and Mathematical Modelling, Ministry of Education and Science, Kazakhstan, Almaty
Keywords: well-posednes, mixed problem, degenerate hyperbolic equations, Bessel function

Abstract

Oscillations of elastic membranes in 3D are modelled as degenerate multi-dimensional hyperbolic equations. For applied work, it is important to obtain explicit representations of solution of the studied boundary-value problems. This paper shows the unique solvability and obtains the explicit form of the classical solution of the mixed problem for degenerate multi-dimensional hyperbolic equations.

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Published
2019-09-15