Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain

Abstract

In the present paper an existence and uniqueness of solution of the nonlocal boundary value problem for the third order loaded elliptic-hyperbolic type equation in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used.