Asymptotic Behavior of Linear Evolution Difference System

Authors

  • Akbar Zada Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  • Tongxing Li Qingdao Technological University, Feixian, Shandong 273400, P. R. China.
  • Muhammad Arif Department of Mathematics, University of Peshawar, Peshawar, Pakistan.

Keywords:

Discrete evolution semigroups, Exponential stability, Periodic sequences, Almost periodic sequences

Abstract

In this article we give some characterizations of exponential stability for a periodic discrete evolution family of bounded linear operators acting on a Banach space in terms of discrete evolution semigroups, acting on a special space of almost periodic sequences. As a result, a spectral mapping theorem is stated.

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Published

2015-06-30

Issue

Vol. 47 No. 1 (2015)

Section

Articles

How to Cite

Asymptotic Behavior of Linear Evolution Difference System. (2015). Punjab University Journal of Mathematics, 47(1), 115-122. https://pujm.pu.edu.pk/index.php/pujm/article/view/43