Solvability of a Boundary-Value Problem for Even-Order Mixed-Type Equations

摘要

Solvability of the boundary value problem for higher-order equations of mixed type, namely an equation of even order in the time variable. For a second-order equation, equations with a change in the direction of time are obtained an equation of the Tricomi type. Formulate and prove the theorem about the generalized solvability of a given problem.