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Approximation of solutions to nonautonomous difference equations

In: Tatra Mountains Mathematical Publications, vol. 71, no. 1
Janusz Migda - Małgorzata Migda
Detaily:
Rok, strany: 2019, 109 - 121
Jazyk: eng
Kľúčové slová:
nonautonomous equation, difference pair, prescribed asymptotic behavior, asymptotically polynomial solution, bounded solution
Typ článku: Mathematics
Typ dokumentu: Mathematics
O článku:
We study the asymptotic properties of solutions to nonautonomous difference equations of the form \[ \D^m x_n=a_nf(n,x_{\sigma(n)})+b_n, \quad f\colon \N\times\R\to\R, \quad \sigma\colon \N\to\N. \] Using the iterated remainder operator and asymptotic difference pairs we establish some results concerning approximative solutions and approximations of~solutions. Our approach allows us to control the degree of approximation.
Ako citovať:
ISO 690:
Migda, J., Migda, M. 2019. Approximation of solutions to nonautonomous difference equations. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 109-121. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0010

APA:
Migda, J., Migda, M. (2019). Approximation of solutions to nonautonomous difference equations. Tatra Mountains Mathematical Publications, 71(1), 109-121. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0010
O vydaní:
Vydavateľ: MÚ SAV
Publikované: 2. 1. 2019