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带非局部初值条件的半线性微分方程的可控性(英文)

CONTROLLABILITY OF SEMILINEAR DIFFERENTIAL EQUATION WITH NONLOCAL INITIAL CONDITIONS
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摘要 本文中我们讨论了Banach空间中带非局部初值条件u(0)=g(u)+u_0的半线性微分方程u′(t)=Au(t)+Bu(t)+f(t,u(t))的可控性问题,我们在g失去紧性条件时,给出了局部可控的充分条件. In this paper,sufficient conditions are established for the nonlocally con- trollability of semilinear Cauehy problems u'(t)=Au(t)+ Bx(t)+f(t,u(t)),t∈I a.e., with nonlocal initial condition u(0)=g(u)+u_0 when the map g losing compactness.
作者 薛星美
机构地区 东南大学数学系
出处 《南京大学学报（数学半年刊）》 CAS 2008年第2期168-177,共10页 Journal of Nanjing University(Mathematical Biquarterly)
基金 Supported by NSFC of China (No.10674024)
关键词 非局部初值条件 紧半群 非局部可控 适度解 nonlocal initial condition compact semigroup nonlocally controllability mild solution
分类号 O175 [理学—基础数学]
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南京大学学报（数学半年刊）
2008年 第2期

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