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

T. K. Yuldashev1, K. H. Shabadikov2

AnnotationIt 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.
Keywordsmixed value problem, equation of the higher order, method of separation variables, generalized solution, one valued solvability, time maxima.

1Associate professor of Higher Mathematics Chair, M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, tursunbay@rambler.ru.; Associate professor of Differential Equations Chair, Fergana State University, Fergana, Uzbekistan

Citation: T. K. Yuldashev, K. H. Shabadikov, "[Mixed value problem for nonlinear partial equation of higher order with time maxima]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:2 (2013) 103–115 (In Russian)