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ON PERIODICIZING FUNCTIONS
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 Title & Authors
ON PERIODICIZING FUNCTIONS
Naito Toshiki; Shin Jong-Son;
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 Abstract
In this paper we introduce a new concept, a 'periodicizing' function for the linear differential equation with the periodic forcing function. Moreover, we construct this function, which is closely related with the solution of a difference equation and an indefinite sum. Using this function, we can obtain a representation of solutions from which we see immediately the asymptotic behavior of the solutions.
 Keywords
periodicizing function;linear differential equation;linear difference equation;indefinite sum;representation of solutiontion;
 Language
English
 Cited by
1.
REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM,;;

대한수학회보, 2014. vol.51. 4, pp.933-942 crossref(new window)
1.
REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM, Bulletin of the Korean Mathematical Society, 2014, 51, 4, 933  crossref(new windwow)
2.
Lyapunov exponents of solutions to linear differential equations with periodic forcing functions, Journal of Mathematical Analysis and Applications, 2008, 342, 1, 349  crossref(new windwow)
3.
Isomorphisms of Partial Group Rings, Communications in Algebra, 2016, 44, 2, 680  crossref(new windwow)
 References
1.
J. Kato, T. Naito, and J. S. Shin, Bounded solutions and periodic solutions to linear differential equations in Banach spaces, Vietnam J. Math.(Proceeding in DEAA) 30 (2002), 561-575

2.
J. Kato, T. Naito, and J. S. Shin, A characterization of solutions in linear differential equations with peri- odic forcing functions, J. Difference Equ. Appl. 11 (2005), no. 1, 1-19 crossref(new window)

3.
K. S. Miller, An Introduction to the Calculus of Finite Differences and Difference Equations, Dover Publications, New York, 1966