Boundedness and uniqueness of solutions to dynamic equations on time scales

Journal of Difference Equations and Applications

Volumn 10, Issue 13-15, 2004, Pages 1295-1306

  Peterson, Allan C ^a   Tisdell, Christopher C ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Initial value problem (IVP); Lyapunov function; System of equations; Time scale

Indexed keywords

EID: 8744306102     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190410001652793     Document Type: Article

References (8)

1. M. Bohner and A. Peterson, Dynamic Equations on Time Scales, Birkhäuser, Boston, 2001.
2. M. Bohner and A. Peterson, eds, Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, 2003.
3. P. Hartman, Ordinary Differential Equations Classics in Applied Mathematics, 38, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2002.
4. S. Hilger, Analysis on Measure Chains - A Unified Approach to Continuous and Discrete Calculus, Res. Math., 18 (1990), 18-56.
5. B. Kaymakcalan, V. Lakshmikantham and S. Sivasundaram, Dynamical Systems on Measure Chains, Kluwer Academic Publishers, Boston, 1996.
6. S. Keller, Asymptotisches Verhalten invarianter Faserbündel bei Diskretisierang und Mittelwertbildung im Rahmen der Analysis auf Zeitskalen Ph.D. thesis, Universität Augsburg.
7. C. Pötzsche, Chain rule and invariance principle on measure chains, dynamic equations on time scales, J. Comput. Appl. Math., 141 (2002), 249-254.
8. Y.N. Raffoul, Boundedness in Nonlinear Differential Equations, Nonlinear Studies, 10 (2003), 343-350.