On the Relationship between Properties of Solutions of Difference Equations and the Corresponding Differential Equations

Autor:	A. M. Tkachuk, O. M. Stanzhyts'kyi
Rok vydání:	2005
Předmět:	Stochastic partial differential equation Examples of differential equations Equilibrium point Partial differential equation Differential equation Independent equation General Mathematics Mathematical analysis Differential algebraic equation Mathematics Numerical partial differential equations
Zdroj:	Ukrainian Mathematical Journal. 57:1167-1176
ISSN:	1573-9376 0041-5995
Popis:	We establish conditions under which the existence of a periodic solution of a differential equation is preserved if a solution of the corresponding difference equation possesses the same property. We prove the convergence of periodic solutions of a system of difference equations to a periodic solution of a system of differential equations. Analogous problems are considered for bounded solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0c149cbf626c66c6c5439c6c460c8a65 https://doi.org/10.1007/s11253-005-0253-0 Zobrazit plný text záznamu Plný text ve formátu PDF