In Middle Volga Mathematical Society

Mixed value problem for nonlinear partial equation of higher order with time maxima

T. K. Yuldashev^a, K. H. Shabadikov<sup>b

a</sup> M. F. Reshetnev Siberian State Aerospace University
^b Ferghana State University

Abstract: It is studied the questions of one valued solvability of mixed value problem for nonlinear partial integro-differential equation, consisting the parabolic operator of arbitrary natural power on the linear left-hand side and time maxima on the nonlinear right-hand side of this equation.

Keywords: mixed value problem, equation of the higher order, method of separation variables, generalized solution, one valued solvability, time maxima.

UDC: 517.95

Received: 07.07.2013