Affiliation:
1. School of Basic Sciences , Indian Institute of Technology Mandi Mandi, H.P., 175005 , India
Abstract
Abstract
In this paper, we discuss a nonautonomous dynamical equation on time scale in a Banach space. The nonautonomous case is particularly important and needs to be studied because it is frequently met in the mathematical models of evolutionary processes. We give sufficient condition for equation to have an exponentially stable almost periodic solution in terms of the accretiveness of an operator. At the end, examples are given to illustrate the analytical findings.
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis
Reference24 articles.
1. [1] S. Hilger; Ein Makettenkalkäul mit Anwendung auf Zentrumsmannigfaltigkeiten (Ph.D thesis), Universität Wäurzburg, (1988).
2. [2] R.P. Agarwal, M. Bohner, Donal O’Regan, A. Peterson; Dynamic equations on time scales: a survey. Journal of Computational and Applied Mathematics 141(1-2) (2002) 1-26.
3. [3] R.P. Agarwal, M. Bohner; Basic calculus on time scales and some of its applications. Resultate der Mathematik 35.1 (1999) 3-22.
4. [4] S. Abbas; Time scale calculus: unification of discrete and continuous calculus. Math. Newsl. 29(1) (2018), 19-23.
5. [5] S. Abbas; Qualitative analysis of dynamic equations on time scales. Electron. J. Differential Equations 2018, No. 51, 13 pp.
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