具多个分段常数的微分方程解的稳定性和振动性  

Oscillation and Stability of Solution for Differential Equations with Many Piecewise Constant Arguments

作　　者：武秀丽[1] 向子贵[1] 

机构地区：[1]广东商学院数学与应用数学研究所,广州510320

出　　处：《科学技术与工程》2007年第21期5641-5642,5644,共3页Science Technology and Engineering

基　　金：国家自然科学基金(10071048)资助

摘　　要：研究了具有多个分段常数的微分方程解的稳定性和振动性。利用差分方程的稳定心理论以及代数定理,得到该方程平凡解稳定和振动的充分条件。Oscillation and stability of solutions for differential equations with many piecewise constant arguments are presenfed.By using the stability theorem of difference equation and the theorem of algebra,the sufficient conditions of stability and oscillation of trival solutions are gotten.

关 键 词：稳定性 振动性 分段常数 

分 类 号：O175[理学—数学]