带非紧测度的Banach空间中半线性非局部微分方程(英文)  

SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH MEASURE OF NONCOMPACTNESS IN BANACH SPACES

作　　者：薛星美[1] 

机构地区：[1]东南大学数学系,南京210096

出　　处：《南京大学学报（数学半年刊）》2007年第2期264-276,共13页Journal of Nanjing University(Mathematical Biquarterly)

摘　　要：本文讨论了可分Banach空间中具有非局部初值条件的半线性微分方程在Hausdorff非紧测度条件下广义解的存在性.In this paper we study the existence of mild solutions for semilinear differential equations with nonlocal initial conditions in separable Banach spaces.We derive conditions in respect of the Hausdorff measure of noncompactness under which the mild solutions exit.

关 键 词：非局部初值条件 等度连续 C0-半群 HAUSDORFF非紧测度 广义解 

分 类 号：O175.15[理学—数学]