TY - JOUR ID - Netka2009 LB - Netka2009 AU - Netka, Milena TI - Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations ST - Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2009 VL - 29 IS - 1 SP - 69 EP - 79 DO - http://dx.doi.org/10.7494/OpMath.2009.29.1.69 UR - http://dx.doi.org/10.7494/OpMath.2009.29.1.69 AB - 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. KW - functional differential equations KW - comparison methods KW - estimates of the Perron type SN - 1232-9274 ER -