一类非线性脉冲时滞微分方程的振动准则  

Oscillation Criteria of a Class of Nonlinear Delay Differential Equation with Impulse

作　　者：顾长超[1] 孙琳[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《安庆师范学院学报（自然科学版）》2012年第4期4-7,共4页Journal of Anqing Teachers College(Natural Science Edition)

基　　金：教育部博士点基金项目(2011340110001)资助

摘　　要：对一类非线性脉冲微分方程的解的振动性作了研究,给出引理解决了方程非振动解与其各阶导数的符号关系,得到其振动性的判别准则,举例说明了准则的有效性。The paper studies the oscillations of a class of nonlinear delay differential equation with impulse. A lemma is presented to deal with the sign relation of the nonoscillatory sOlutions and their derived functions. Also, it obtains some criterions about the oscillation of the solutions to the equations and gives one example to illustrate the effectiveness of these criteria.

关 键 词：脉冲微分方程 时滞微分方程 振动性 非线性 

分 类 号：O175[理学—数学]