ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF AN n-TH ORDER NONLINEAR O.D.E.
In this paper, we prove that the solution of nonlinear Ordinary Differential Equations (ODE), with continuous coefficients and non-linear terms tending to zero at infinity, have an asymptotic behavior similar to the solution of there corresponding linear equations.
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | Perú |
| Recursos: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/9310 |
| Acesso em linha: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9310 |
| Access Level: | acceso abierto |
| Palavra-chave: | Comportamiento asintótico Desigualdad de Gronwall E.D.O. no lineales. Asymptotic behavior Gronwall's inequality Non-linear ODE. |
| Resumo: | In this paper, we prove that the solution of nonlinear Ordinary Differential Equations (ODE), with continuous coefficients and non-linear terms tending to zero at infinity, have an asymptotic behavior similar to the solution of there corresponding linear equations. |
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