Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897050
