Asymptotic behavior of linear almost periodic differential equations

Bui Xuan Dieu; Luu Hoang Duc; Stefan Siegmund; Nguyen Van Minh

doi:10.1007/978-3-319-31323-8_7

Asymptotic behavior of linear almost periodic differential equations

Research output: Contribution to book/Conference proceedings/Anthology/Report › Conference contribution › Contributed › peer-review

Contributors

Bui Xuan Dieu - , TUD Dresden University of Technology, Hanoi University of Science and Technology (Author)
Luu Hoang Duc - , Chair of Dynamics and Control, Vietnamese Academy of Science and Technology (Author)
Stefan Siegmund - , Chair of Dynamics and Control (Author)
Nguyen Van Minh - , Columbus State University, University of Arkansas Little Rock (Author)

Abstract

The present paper is concerned with strong stability of solutions of non-autonomous equations of the form Pu(t) = A(t)u(t), where A(t) is an unbounded operator in a Banach space depending almost periodically on t. A general condition on strong stability is given in terms of Perron conditions on the solvability of the associated inhomogeneous equation.

Details

Original language	English
Title of host publication	Mathematical Sciences with Multidisciplinary Applications
Editors	Bourama Toni
Publisher	Springer Verlag, New York
Pages	113-132
Number of pages	20
ISBN (electronic)	978-3-319-31323-8
ISBN (print)	978-3-319-31321-4
Publication status	Published - 2016
Peer-reviewed	Yes

Publication series

Series	Springer proceedings in mathematics and statistics
Volume	157
ISSN	2194-1009

External IDs

ORCID	/0000-0003-0967-6747/work/213148723

Keywords

ASJC Scopus subject areas

General Mathematics

Keywords

Almost periodicity, Evolution semigroup, Non-autonomous equation, Perron type conditions, Strong stability

Research Portal of the TU Dresden

Contributors

Abstract

Details

Publication series

External IDs

Keywords

ASJC Scopus subject areas

Keywords