Controllability of semilinear differential equations and inclusions via semigroup theory in Banach spaces

被引：49

作者：

Górniewicz, L

Ntouyas, SK

O'Regan, D

机构：

[1] Nicholas Copernicus Univ, Dept Math & Comp Sci, PL-87100 Torun, Poland

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[3] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2005年 / 56卷 / 03期

关键词：

semilinear differential equations; semilinear differential inclusions; functional differential inclusions; semigroup; cosine functions; integrated semigroups; fixed point; nonlinear alternative;

D O I：

10.1016/S0034-4877(05)80096-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Control problems appear in many branches of physics and technical science. In this paper we investigate the controllability of semilinear differential equations and inclusions via the semigroup theory in Banach spaces. All results are obtained by using fixed point theorems both for single and multivalued mappings.

引用

页码：437 / 470

页数：34

共 34 条

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ARENDT W, 1987, ISRAEL J MATH, V59

[2] Controllability of Sobolev-type semilinear integrodifferential systems in Banach spaces [J].