Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications
Data(s) |
18/03/2016
18/03/2016
2014
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Resumo |
This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general nonperiodic, sampling points t(i) is an element of [t(0), t(J)] for i = 0, 1, . . . , J of the solution. Two examples are provided. |
Identificador |
Abstract and Applied Analysis 2014 : (2014) // Article ID 956318 1085-3375 1687-0409 http://hdl.handle.net/10810/17701 10.1155/2014/956318 |
Idioma(s) |
eng |
Publicador |
Hindawi Publishing |
Relação |
http://www.hindawi.com/journals/aaa/2014/956318/abs/ |
Direitos |
© 2014 M. De la Sen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. info:eu-repo/semantics/openAccess |
Palavras-Chave | #systems #oscillation #ergodicity #relay #model |
Tipo |
info:eu-repo/semantics/article |