An asymptotic formula is given for positive strongly decreasing solutions of a sub-homogeneous system of two second order quasilinear ordinary differential equations. This result is obtained as an application of an asymptotic equivalence theorem for positive solutions, which is proved in this paper as well. Examples of application to a fourth order nonlinear differential equation and to a nonlinear partial differential system are presented.
An asymptotic formula for decreasing solutions to coupled nonlinear differential systems / S. Matucci; P. Réhâk. - In: PANAMERICAN MATHEMATICAL JOURNAL. - ISSN 1064-9735. - STAMPA. - 22 (2):(2012), pp. 67-75.
An asymptotic formula for decreasing solutions to coupled nonlinear differential systems
MATUCCI, SERENA;
2012
Abstract
An asymptotic formula is given for positive strongly decreasing solutions of a sub-homogeneous system of two second order quasilinear ordinary differential equations. This result is obtained as an application of an asymptotic equivalence theorem for positive solutions, which is proved in this paper as well. Examples of application to a fourth order nonlinear differential equation and to a nonlinear partial differential system are presented.
| File | Dimensione | Formato | |
|---|---|---|---|
|
33-PAMJ.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
125.83 kB
Formato
Adobe PDF
|
125.83 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
