BANACH空间中具无限时滞泛函微分方程的初值问题(英文)

Initial Value Problems for Functional Differential Equations with Infinite Delay in Banach Spaces

考虑了如下具无限时滞泛函微分方程 :“u′(t) =f(t,u(t) ,ut) ,uσ=φ (σ≤t≤a)” .利用锥的强极小性质 ,获得了上述方程的初值问题的某些有解的充分条件 .

In this paper we consider the following initial value problems of functional differential equations:u′(t)=f(t,u(t),u t),u σ=φ(σ≤t≤a).By using the property of strong minimal cone,We obtain some sufficient conditions for existence of solutions of the above problems.