For a class of second order nonlinear autonomous differential equations asymptotic properties of the solutions as t -> + infinity are studied. The investigation is done in the phase plane and the phase portrait of the equivalent system is obtained by using the zero-isocline function. Some sufficient conditions are presented which for the case of Lienard equation become also necessary.
Asymptotic behavior of solutions for second order nonlinear autonomous differential equations / Y.V. Rogovchenko; G.Villari. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 4:(1997), pp. 271-282. [10.1007/s000300050015]
Asymptotic behavior of solutions for second order nonlinear autonomous differential equations
VILLARI, GABRIELE
1997
Abstract
For a class of second order nonlinear autonomous differential equations asymptotic properties of the solutions as t -> + infinity are studied. The investigation is done in the phase plane and the phase portrait of the equivalent system is obtained by using the zero-isocline function. Some sufficient conditions are presented which for the case of Lienard equation become also necessary.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.