A NEW OSCILLATION CRITERION FOR TWO-DIMENSIONAL DYNAMIC SYSTEMS ON TIME SCALES

被引：1

作者：

Jia Baoguo ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2011年 / 42卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Two-dimensional; oscillation; time scale; dynamic equation;

D O I：

10.5556/j.tkjm.42.2011.237-244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the linear dynamic system on time scales u(Delta) = pv, v(Delta) = -qu(sigma) where p > 0 and q are rd -continuous functions on a lime scale (parallel to) over bar such that sup (parallel to) over bar = infinity When q(i) is allowed to lake on negative values, we establish an oscillation criterion for system (0.1). Our result improves a main result of Fu and Lin [S. C. Fu and M. L. Lin, Oscillation and nonoscillation criteria for linear dynamic systems on time scales, Computers and Mathematics with Applications, 59(2010), 2552-2565].

引用

页码：237 / 244

页数：8

共 6 条

[1]

BOHNER M., 2001, DYNAMIC EQUATION TIM

[2]

Coppel W. A., 1971, LECT NOTES MATH, P17

[3] Oscillation and nonoscillation criteria for linear dynamic systems on time scales [J].

Fu, Sheng-Chen ;

Lin, Ming-Li .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) :2552-2565

[4] A Wong-type oscillation theorem for second order linear dynamic equations on time scales [J].

Jia Baoguo ;

Erbe, Lynn ;

Peterson, Allan .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (01) :15-36

[5] Oscillation criteria for two-dimensional dynamic systems on time scales [J].

Xu, Youjun ;

Xu, Zhiting .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (01) :9-19

[6]

[No title captured]

← 1 →