We consider an initial value problem for a specific system of partial operator differential equations for unknown functions. To solve the task the method of additional argument is applied. The task by means of the introduction of an additional variable is reduced to a system of integral equations suitable for investigation and applying theorems on fixed points. Scientists of the Kyrgyz Republic have contributed to the development and dissemination of this method. This work proves the existence of a unique solution to the initial problem for a system of operator partial differential equations of the first order by using the method of an additional argument.

Topics
Functional equations, Integral equations, Careers and professions
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