Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces

被引:274
作者
Mahmudov, NI [1 ]
机构
[1] Eastern Mediterranean Univ, Dept Math, TR-10 Mersin, Turkey
关键词
symmetric operators; controllability; the Schauder. fixed point theorem; the contraction mapping principle; semilinear evolution equations; stochastic evolution equations;
D O I
10.1137/S0363012901391688
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Various sufficient conditions for approximate controllability of linear evolution systems in abstract spaces have been obtained, but approximate controllability of semilinear control systems usually requires some complicated and limited assumptions. In this paper, we show the approximate controllability of the abstract semilinear deterministic and stochastic control systems under the natural assumption that the associated linear control system is approximately controllable. The results are obtained using new properties of symmetric operators (which are proved in this paper), compact semigroups, the Schauder fixed point theorem, and/or the contraction mapping principle.
引用
收藏
页码:1604 / 1622
页数:19
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