Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations

ABSTRACT: We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form ...X +AX¨ + BX˙ + H(X) = P(t, X, X, ˙ X¨), where A, B are constant symmetric n × n matrices, X, H(X) and P(t, X, X, ˙ X¨) are real n×n matrices continuous in their re...

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Autores:
Uyi Afuwape, Anthony
Omeike, Mathew Omonigho
Tipo de recurso:
Article of investigation
Fecha de publicación:
2010
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/25462
Acceso en línea:
http://hdl.handle.net/10495/25462
Palabra clave:
Ecuaciones diferenciales no lineales
Differential equations, nonlinear
Boundedness
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/2.5/co/
Description
Summary:ABSTRACT: We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form ...X +AX¨ + BX˙ + H(X) = P(t, X, X, ˙ X¨), where A, B are constant symmetric n × n matrices, X, H(X) and P(t, X, X, ˙ X¨) are real n×n matrices continuous in their respective arguments. Our results give a matrix analogue of earlier results of Afuwape [1] and Meng [4], and extend other earlier results for the case in which we do not necessarily require that H(X) be differentiable.