An inverse problem for a system of evolution equations

Impact Factor:1.1

DOI number:10.1515/JIIP.2011.020

Journal:Journal of Inverse and Ill-Posed Problems

Key Words:Inverse problem; evolution equation; sexact control problem; non local state

Abstract:In this paper, we consider an inverse problem for a system of evolution equations. The inverse problem can also be interpreted as a exact control problem in the transition of a substance W (x, t) from a nonlocal state W_1 (x) to another nonlocal state W_2(x). The control element is assumed to have a nonlocal form. We show the existence of the inverse problem in classes of entire functions with respect to the spatial variable x is an element of R(n) by the constructive method. Explicit formulas of the unknown functions W (x, t) and λ(x) are presented.

Co-author:Yurii E. Anikonov,Shumin Li

Indexed by:Journal paper

Document Code:000290145400001

Discipline:Natural Science

Document Type:J

Volume:19

Issue:1

Page Number:1-12

ISSN No.:0928-0219

Translation or Not:no

Date of Publication:2011-05-01

Included Journals:SCI、EI

Links to published journals:https://doi.org/10.1515/jiip.2011.020