Solvability of a Boundary Value Problem for a Fourth-Order Mixed Type Equation
DOI:
https://doi.org/10.31150/ajshr.v3i3.926Keywords:
equation of mixed type, Fourier series, completeness, regular solution, stability, strong solutionAbstract
In a rectangular domain, we study the boundary value problem for a fourth-order mixed differential equation of mixed type containing a wave operator and the product of the inverse and direct heat conduction operators. The criteria for the uniqueness of the solution of the problem, which are constructed as the sum of a Fourier series, are established. The stability of the obtained solution and the strong solvability of the problem are proved.
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