p-Laplacian and Lienard-type equation

被引：6

作者：

Manasevich, R

Sedziwy, S

机构：

[1] UNIV CHILE,FAC CIENCIAS FIS & MATEMAT,DEPT INGN MATEMAT,SANTIAGO,CHILE

[2] JAGIELLONIAN UNIV,PL-30059 KRAKOW,POLAND

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1997年 / 27卷 / 02期

关键词：

p-Laplacian; Lienard equation; limit cycle; perturbed Hamiltonian systems;

D O I：

10.1216/rmjm/1181071928

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the generalized Lienard-type equation (\u'\(p-2)u')'+mu f(u)\u'\(p-2)u'+g(u)=0 where p > 1 and mu is a small parameter has exactly one limit cycle.

引用

页码：611 / 617

页数：7

共 7 条

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ELGUETA, M ;

MANASEVICH, R .

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[3]

Hartman P, 1964, ORDINARY DIFFERENTIA

[4]

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[6]

Pontryagin L.S., 1934, Fiz, V4, P883

[7]

SEDZIWY S, UNPUB BIFURCATION LI

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