In this paper is proved of uniqueness solution of the initial boundary value problem for a system of linear partial differential equations of first and second order with two unknown functions that depend on the time variable and the spatial variable, changing on a finite segment. The considered boundary value problem is the mathematical model of heat accumulation in heat exchanger.
solution of the initial-boundary value problem, method of energy equalities and inequalities
В настоящей работе исследуется вопрос о единственности решения следующей начально-краевой задачи.
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