THE WELL-POSEDNESS OF MIXED PROBLEM FOR ONE CLASS OF DEGENERATE MULTI-DIMENSIONAL HYPERBOLIC EQUATIONS
DOI:
https://doi.org/10.17721/2706-9699.2019.2.01Keywords:
well-posednes, mixed problem, degenerate hyperbolic equations, Bessel functionAbstract
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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