A Fixed Point Method for a Class of Nonlinear Evolution Systems Modeling a Mechanical Phenomenon

Autor:	Abdelmoumene Djabi, Abdelbaki Merouani
Rok vydání:	2015
Předmět:	Viscoplasticity Fixed-point iteration Mathematical analysis Point (geometry) Uniqueness Type (model theory) Systems modeling Absolute zero Quasistatic process Mathematics
Zdroj:	International Journal of Open Problems in Computer Science and Mathematics. 8:1-13
ISSN:	1998-6262
DOI:	10.12816/0010705
Popis:	This paper deals with the study of a class of nonlinear evolution systems with parameter t which may interpreted as the time or the absolute temperature. Such type of problems arise in the study of quasistatic problem in viscoplasticity. The existence and uniqueness of the solution is obtained using standard arguments for elliptic equations followed by a xed point technique. The continuous dependence of the solution with respect to the data is also given. Finally, a mechanical example is presented in order to illustrate this result.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::644b97686c9445acd4a8d7c7536e9da3 https://doi.org/10.12816/0010705 Zobrazit plný text záznamu