一类时标上三阶微分方程的渐进性态  

Asymptotic Property of Solutions of a Third-order Nonlinear Differential Equation on Time Scales

作　　者：魏会贤[1] 董文雷[1] 郭彦平[2] 

机构地区：[1]石家庄铁路职业技术学院基础部,河北石家庄050041 [2]河北科技大学电气工程学院,河北石家庄050000

出　　处：《数学的实践与认识》2017年第11期307-312,共6页Mathematics in Practice and Theory

摘　　要：利用广义的Riccati变换，研究了某类非线性微分方程的渐进性态，得出了时标上方程振动或者趋于0的充分条件．In this paper, asymptotic property of a kind of nonlinear differential equationis studied by using the generalized Riccati transformation. The sufficient conditions for theoscillation or tends to zero of the equation are obtained.

关 键 词：时标 三阶微分方程 RICCATI变换 振动 

分 类 号：O175[理学—数学]