一类非局部微分方程适度解的存在性

The Existence of Mild Solutions for Semilinear Differential Equations with Nonlocal Conditions

研究Banach空间中一类带有非局部条件下半线性微分方程适度解的存在性,利用不动点定理和紧性的方法,给出了在非局部项连续的条件下方程适度解的存在性,从而得到了更为广泛和一般性的结果。

This article discusses the existence of mild solutions for semilinear differential equations with nonlocal conditions in Banach spaces. By using the method of the fixed point and the compactness,the existence of mild solutions with the nonlocal item is continuous,which is more extensive and general.