摘要
本文使用Schaefer不动点定理和强连续算子半群理论 ,建立了抽象空间中具非局部条件的半线性发展方程解的可控性 ,得到了可控性的充分条件 .文末用例子说明了所得结果 .
This paper is concerned with the controllability of semilinear evolution equations with nonlocal conditions in Banach spaces.By combining the theory of semigroups of strongly continuous operators and Schaefer fixed point theorem,sufficient conditions for controllability are establitshed.An example is presented to illustrate the results..
出处
《经济数学》
2000年第4期73-78,共6页
Journal of Quantitative Economics
关键词
可控性
半线性发展方程
SCHAREFER不动点定理
非局部条件
Controllability
semilinear evolution equations
semigroup of strongly continuous operators(C 0-semigroup)
Schaefer fixed point theorem
nonlocal conditions.
