Title :
Weighted Pseudo Almost Automorphic Solution to a Class of Integrodifferential Equations
Author :
Lu, Chou-li ; Song, Xiao-qiu ; Zhou, Li-li
Author_Institution :
Dept. of Sci., China Univ. of Min. & Technol., Xuzhou, China
Abstract :
This paper is concerned with weighted pseudo almost auto orphic functions, which is associated with the optimal control problem of distributed parameter system, especially in the nonlinear evolution equation. Applying the Banach fixed point theorem, we prove some existence results for weighted pseudo almost automorphic mild solution to a class of integro differential equations in Banach space.
Keywords :
Banach spaces; distributed parameter systems; integro-differential equations; optimal control; Banach fixed point theorem; Banach space; distributed parameter system; integrodifferential equations; nonlinear evolution equation; optimal control problem; weighted pseudo almost automorphic solution; Aerospace electronics; Differential equations; Educational institutions; Evolution (biology); Integrodifferential equations; Radio frequency; Control system; Evolution family; Exponentially stable; Weighted almost automorphic function;
Conference_Titel :
Internet Computing & Information Services (ICICIS), 2011 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4577-1561-7
DOI :
10.1109/ICICIS.2011.42