On the Cauchy problem for first order discontinuous ordinary differential equations

[摘要] We prove the existence of extremal Caratheodory solutions for the initial value problem x'(t) = f(t, x(t)) for a.e.t is an element of [0, 1], x(0) = 0. under weak conditions over f: [0, 1] x R --> R. (C) 2001 Elsevier Science.

[发布日期] 2001-12-01