Boundary Value Problem for a Fourth-Order Equation of the Parabolic-Hyperbolic Type with Multiple Characteristics with Slopes Greater Than One

In this paper, we consider a boundary value problem for a fourth-order equation of the parabolic-hyperbolic type with multiple characteristics with slopes greater than one. In the pentagonal domain, the problem is reduced to considering the Volterra integral equation of the second kind and the unique solvability of the formulated boundary value problem is proved.

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