대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권2호
  • /
  • Pages.253-263
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  • 2006
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON PERIODICIZING FUNCTIONS

  • 발행 : 2006.05.01
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⟨ 이전 논문 다음 논문 ⟩

초록

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.

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참고문헌

  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 https://doi.org/10.1080/10236190412331317120
  3. K. S. Miller, An Introduction to the Calculus of Finite Differences and Difference Equations, Dover Publications, New York, 1966

피인용 문헌

  1. REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM vol.51, pp.4, 2014, https://doi.org/10.4134/BKMS.2014.51.4.933
  2. Lyapunov exponents of solutions to linear differential equations with periodic forcing functions vol.342, pp.1, 2008, https://doi.org/10.1016/j.jmaa.2007.09.077
  3. Isomorphisms of Partial Group Rings vol.44, pp.2, 2016, https://doi.org/10.1080/00927872.2014.975348