A characterization of solutions in linear differential equations with periodic forcing functions

Journal of Difference Equations and Applications

Volumn 11, Issue 1, 2005, Pages 1-19

  Kato, I ^a   Naito, T ^b   Shin, J S ^c  

^a MIYAGI UNIVERSITY   (Japan)

^b UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^c Korea University   (South Korea)

Author keywords

Asymptotically periodic; Bernoulli's number; Bounded; Index of growth order; Linear difference equation; Linear differential equation; Quasi periodic; Representation of solution; periodic

Indexed keywords

EID: 11844261513     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190412331317120     Document Type: Article

References (11)

1. Agarwal, R.P., 1992, Difference Equations and Inequalities: Theory, Methods, and Applications (New York/Basel/Hong Kong: Marcel Dekker).
2. Burton, T.A., 1985, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Mathematics in Science and Engineering (Orlando/San Diego/New York: Academic Press), Vol. 178.
3. Fink, A.M., 1974, Almost Periodic Differential Equations, Lecture Notes in Math. (Berlin/New York: Springer), Vol. 377.
4. Hale, J.K., 1969, Ordinary Differential Equations (New York: John Wiley and Sons).
5. Hatvani, L. and Krisztin, T., 1992, On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations, Journal of Differential Equations, 97, 1-15.
6. Kato, J., Naito, T. and Shin, J.S., 2002, Bounded solutions and periodic solutions to linear differential equations in Banach spaces, Vietnam Journal of Mathematics (Proceedings of DEAA), 30, 561-575.
7. Massera, J.L., 1950, The existence of periodic solutions of systems of differential equations, Duke Mathematical Journal, 17, 457-475.
8. Massera, J.L. and Schärfere, J.J., 1966, Linear Differential Equations and Function Spaces (New York/ London: Academic Press).
9. Miller, K.S., 1966, An Introduction to the Calculus of Finite Differences and Difference Equations (New York: Dover Publications).
10. Rouche, N. and Mawhin, J., 1980, Ordinary Differential Equations; Stability and Periodic Solutions (Boston: Pitman).
11. Sansonne, G. and Conti, R., 1964, Non-linear Differential Equations (New York: Pergamon Press).