Unbounded solutions of positively damped Liénard equations

• Autorzy: Changming Ding
• Języki publikacji: EN

Abstrakty

EN

This paper discusses the asymptotic behavior of solutions of the Liénard equation, especially the global behavior of unbounded solutions, and also gives a class of sufficient and necessary conditions for the orbit of a solution to intersect the vertical isocline.

Słowa kluczowe

EN

unbounded solutions; vertical isocline; global asymptotic behavior

Kategorie tematyczne

• 34C11: Growth, boundedness

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 64
• Numer: 2
• Strony: 115-120

Daty

wydano

1996

otrzymano

1994-11-15

poprawiono

1995-08-20

Twórcy

autor

Changming Ding

• Department of Mathematics, Hangzhou Teachers' College, Hangzhou, 310012, P.R. China

Bibliografia

• [1] G. Seifert, Global asymptotic behavior of solutions of positively damped Liénard equations, Ann. Polon. Math. 51 (1990), 283-288.
• [2] G. Villari, On the qualitative behavior of solutions of Liénard equations, J. Differential Equations 67 (1987), 269-277.
• [3] G. Villari and F. Zanolin, On a dynamical system in the Liénard plane. Necessary and sufficient conditions for the intersection with the vertical isocline and applications, Funkc. Ekvac. 33 (1990), 19-38.