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Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales.

Authors :
Peterson, Allan C.
Tisdell, Christopher C.
Source :
Journal of Difference Equations & Applications; Nov/Dec2004, Vol. 10 Issue 13-15, p1295-1306, 12p
Publication Year :
2004

Abstract

In this work, we investigate the boundedness and uniqueness of solutions to systems of dynamic equations on time scales. We define suitable Lyapunov-type functions and then formulate appropriate inequalities on these functions that guarantee all solutions to first-order initial value problems are uniformly bounded and/or unique. Several examples are given. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
DIFFERENCE equations
LYAPUNOV functions
INITIAL value problems
DIFFERENTIAL equations
MATHEMATICAL inequalities
MATHEMATICS

Details

Language :
English
ISSN :
10236198
Volume :
10
Issue :
13-15
Database :
Complementary Index
Journal :
Journal of Difference Equations & Applications
Publication Type :
Academic Journal
Accession number :
15281185
Full Text :
https://doi.org/10.1080/10236190410001652793
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