Solvability of a semilinear generalized distributed parameter system

Author

Sun Yahui ; Ge Zhaoqiang

Author_Institution

Dept. of Appl. Math., Xi´an Jiaotong Univ., Xi´an, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2624

Lastpage

2629

Abstract

This paper discusses the existence and uniqueness of strong solutions for the first order homogeneous linear generalized distributed parameter system and nonhomogeneous linear generalized distributed parameter system by using the generalized operator semigroup theory. And sufficient conditions of existence and uniqueness of strong solutions and constructive expressions of strong solutions are given in the paper. Further, the existence of strong solutions of semilinear generalized distributed parameter system is studied by mild solutions.

Keywords

computability; distributed algorithms; group theory; partial differential equations; homogeneous linear generalized distributed parameter system; nonhomogeneous linear generalized distributed parameter system; partial differential equations; semigroup theory; semilinear generalized distributed parameter system; solvability; Distributed parameter systems; Educational institutions; Generators; Gold; Hilbert space; Time-varying systems; generalized operator semigroup; mild solution; semilinear generalized distributed parameter system; strong solution;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897050

Filename

6897050