Controllability of non-densely defined functional differential systems in abstract space

Xianlong Fu

doi:10.1016/j.aml.2005.04.016

Controllability of non-densely defined functional differential systems in abstract space

Xianlong Fu^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

In this work, with the Schauder fixed point theorem applied, we establish a result concerning the controllability for a class of abstract functional differential systems where the linear part is non-densely defined and satisfies the Hille-Yosida condition. As an application, an example is provided to illustrate the result obtained.

Original language	English
Pages (from-to)	369-377
Number of pages	9
Journal	Applied Mathematics Letters
Volume	19
Issue number	4
DOIs	https://doi.org/10.1016/j.aml.2005.04.016
State	Published - Apr 2006

Keywords

Controllability
Integral solution
Non-densely defined
Schauder fixed point theorem

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10.1016/j.aml.2005.04.016

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abstract = "In this work, with the Schauder fixed point theorem applied, we establish a result concerning the controllability for a class of abstract functional differential systems where the linear part is non-densely defined and satisfies the Hille-Yosida condition. As an application, an example is provided to illustrate the result obtained.",

keywords = "Controllability, Integral solution, Non-densely defined, Schauder fixed point theorem",

author = "Xianlong Fu",

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AB - In this work, with the Schauder fixed point theorem applied, we establish a result concerning the controllability for a class of abstract functional differential systems where the linear part is non-densely defined and satisfies the Hille-Yosida condition. As an application, an example is provided to illustrate the result obtained.

KW - Controllability

KW - Integral solution

KW - Non-densely defined

KW - Schauder fixed point theorem

UR - https://www.scopus.com/pages/publications/31144476952

U2 - 10.1016/j.aml.2005.04.016

DO - 10.1016/j.aml.2005.04.016

M3 - 文章

AN - SCOPUS:31144476952

SN - 0893-9659

VL - 19

SP - 369

EP - 377

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

Controllability of non-densely defined functional differential systems in abstract space

Abstract

Keywords

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