Instruments and Systems: Monitoring, Control, and Diagnostics Annotation << Back Nonlocal boundary value problem with shift for the degenerating hyperbolic second-kind equation Z.O. BESLANEEV, A.H. KODZOKOV The most prime model of the hyperbolic equations of the second sort with degeneration of type and order on a many-dimensional continuum depending on argument at unknown function is considered. Researches for various values of the real constant at a derivative of a younger order of unknown function are shown. Using submission of the solution of a task, initial value problem type, for the considered equation, the question of correct statement of a nonlocal boundary value problem with shift when value of coefficient at a derivative does not meet a particular condition is investigated. The change of variables for expansion of an interval of change of value at a derivative is made. Proceeding from known general idea of solutions of the new equation at defined values of new coefficient, we gain its impression and for other its values. The unique solubility of a nonlocal task with shift for the hyperbolic equation is proved, the order and which type degenerate at zero value of ordinate. Keywords: the degenerating hyperbolic equation, a task with shift, operators of fractional integro-derivation, a hypergeometric function. Contacts: zalimbach@mail.ru Pp. 01-05.