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...
- 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/
| 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. |
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