ULTIMATE BOUNDEDNESS OF SOLUTIONS FOR A GENERALIZED LIENARD EQUATION WITH FORCING TERM

被引:3
作者
NAKAJIMA, F [1 ]
机构
[1] IWATE UNIV,FAC EDUC,DEPT MATH,MORIOKA,IWATE 020,JAPAN
关键词
D O I
10.2748/tmj/1178225713
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A boundedness theorem is established for a second order differential equation describing parametric excitations in physics.
引用
收藏
页码:295 / 310
页数:16
相关论文
共 24 条
[1]   ON GENERALIZED LIENARD EQUATION WITH FORCING FUNCTION [J].
BURTON, TA ;
TOWNSEND, CG .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1968, 4 (04) :620-&
[2]   ON NON-LINEAR DIFFERENTIAL EQUATIONS OF THE 2ND ORDER .2. THE EQUATION [J].
CARTWRIGHT, ML ;
LITTLEWOOD, JE .
ANNALS OF MATHEMATICS, 1947, 48 (02) :472-494
[3]  
CARTWRIGHT ML, 1950, CONTRIBUTIONS THEORY, V1, P149
[4]  
CARTWRIGHT ML, 1975, COLLOQ MATH, V15, P121
[5]  
CARTWRIGHT ML, 1974, ANN POL MATH, V29, P233
[6]  
COPPEL WA, 1965, HLTH MATH MON, P3
[7]   GENERALIZED LIENARD EQUATION WITH NEGATIVE DAMPING [J].
GRAEF, JR .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (01) :34-+
[9]  
KATO J, 1988, J NE NORMAL U, P1
[10]  
Kato J., 1990, ANN POL MATH, V51, P183