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Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations

Keywords: functional differential equations , comparison methods , estimates of the Perron type

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Abstract:

The paper is concerned with weak solutions of a generalized Cauchy problem for a nonlinear system of first order differential functional equations. A theorem on the uniqueness of a solution is proved. Nonlinear estimates of the Perron type are assumed. A method of integral functional inequalities is used.

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