摘要
在微分方程论中,微分不等式是研究微分方程解的存在性、有界性、唯一性、稳定性和振动性等性质的重要工具.本文研究了一类非线性二阶时滞微分不等式的解的性质,建立了时滞微分方程解的振动准则.
In the theory of differential equations,the differential inequality is a important tool in the study boundedness,uniqueness,stability and vibration performance and other qualitative properties of solutions of differential equations.In this paper we discuss the properties of solutions for a class nonlinear second order differential inequalities with delay arguments,and establish the vibration criterions of the solutions of retarded differential equation.
出处
《商丘师范学院学报》
CAS
2010年第12期23-27,共5页
Journal of Shangqiu Normal University
基金
广西自然科学基金资助项目(0991265)
广西教育厅科学研究项目(200707MS112)
广西新世纪教改工程项目(200710961)
河池学院应用数学重点学科(200725)
河池学院重点课题(2009YAZ-N001)
重点课程<数学建模>(20089)
关键词
微分不等式
最终正解
最终负解
偏微分方程
振动
differential inequality
final positive solution
finally negative solution
partial differential equation
vibration
