Nonlocal Problem for the Hyperbolic System of Differential Equation of the First Order
نویسنده
چکیده
Nonlocal problems for hyperbolic equations of the first order describe the dynamic of population [1]–[3]. During the last thirty years the existence and uniqueness of the solution of nonlocal problems for the system of hyperbolic equations have been considered in a number of papers [4]–[8]. The authors assumed that the nonlinear functions satisfy the Lipschitz condition with respect to the unknown functions. In this paper we consider the nonlocal problem for the system of hyperbolic equations of the first order in two independent variables in the case when nonlinear functions satisfy Caratheodory conditions. We shall consider the system of hyperbolic equation of the form
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