A necessary and sufficient condition for the oscillation of solutions of Lienard type system with multiple singular points

被引：0

作者：

Sun, JT ^{[1
]}

Zhang, YP ^{[1
]}

机构：

[1] Shanghai Tiedao Univ, Shanghai 200333, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1997年 / 18卷 / 12期

关键词：

Lienard type system; oscillating solution; necessary and sufficient condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a necessary and sufficient condition for the solution of Lienard type system with multiple singular points to oscillation under the more general assumption is given. Results of the papers [1 similar to 4] are also extended and improved in this paper.

引用

页码：1205 / 1210

页数：6

共 12 条

[1] GENERALIZED LIENARD EQUATION WITH NEGATIVE DAMPING
GRAEF, JR
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (01) : 34 - +
[2] HAN MA, 1990, ACTA MATH SCI, V33, P684
[3] HAN MA, 1984, J NANJNG U MATH BIQU, V1, P89
[4] HARA T, 1985, FUNKC EKVACIOJ-SER I, V28, P171
[5] LIN JB, 1984, SCI SINICA A, V7, P586
[6] A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF A UNIQUE NONTRIVIAL PERIODIC-SOLUTION TO A CLASS OF EQUATIONS OF LIENARD TYPE
SANDQVIST, A
ANDERSEN, KM
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 46 (03) : 356 - 378
[7] SUN JT, 1994, CTA MATH SCI, V14, P90
[8] SUN JT, 1992, J NANJNG U MATH BIQU, V9, P113
[9] ON THE QUALITATIVE BEHAVIOR OF SOLUTIONS OF LIENARD EQUATION
VILLARI, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 67 (02) : 269 - 277
[10] Villari G., 1990, FUNKC EKVACIOJ-SER I, V33, P19

← 1 2 →