Floquet representations and asymptotic behavior of solutions to periodic linear difference equations

Hiroshima Mathematical Journal

Volumn 38, Issue 1, 2008, Pages 135-154

  Naito, Toshiki ^a   Huu, Pham ^a   Ngoc, Huu Anh ^a   Shin, Jong Son ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

Asymptotic behavior of solution; Bounded solution; Floquet representation of solution; Index of growth order; Periodic linear difference equation; Periodic solution

Indexed keywords

EID: 77956218903     PISSN: 00182079     EISSN: None     Source Type: Journal    
DOI: 10.32917/hmj/1207580348     Document Type: Article

References (8)

1. S. N. Elaydi, ''An Introduction to Difference equations'', Springer-Varlag, New York 1996.
2. J. Kato, T. Naito and J. S. Shin, Bounded solutions and periodic solutions to linear differential equations in Banach spaces, Proceeding in EAA, Vietnam, Vietnam J. of Math. 30 (2002), 561-575.
3. J. Kato, T. Naito and J. S. Shin, A characterization of solutions in linear differential equations with periodic forcing functions, J. Difference Equ. Appl. 11 (2005), 1-19.
4. J. L. Massera, The existence of periodic solutions of systems of differential equations, Duke Math. J. 17 (1950), 457-475.
5. K. S. Miller, ''An Introduction to the Calculus of Finite Differences and Difference Equations'', Dover Publications, New York, 1966.
6. T. Naito and J. S. Shin, On periodicizing functions, Bull. Korean Math. Soc. 43 (2006),253-263.
7. T. Naito and J. S. Shin, Representations of solutions, translation formulae and asymptotic behavior in discrete linear systems and in periodic continuous linear systems, submitted.
8. T. Naito, P. H. A. Ngoc and J. S. Shin, Representations and asymptotic behavior of solutions to periodic linear difference equations, to appear in Funkcial. Ekvac.