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三阶非线性泛函微分方程的振动性和渐近性
Oscillatory Behavior and Asymptotic Behavior of Third Order Nonlinear Functional Differential Equations
【摘要】 利用广义Riccati变换和平均不等式技巧,研究了一类三阶非线性泛函微分方程的振动性和渐近性,建立了所述方程一切解振动或者收敛于零的两个新的充分条件,推广和改进了一些文献中的结果.
【Abstract】 By using the generalized Riccati transformation and the averaging inequality technique,a class of third order nonlinear functional differential equations is studied,and two new sufficient conditions which insure that the solution is oscillatory or converges to zero are established.The results improve and generalize earlier ones.
【关键词】 三阶泛函微分方程;
振动性:渐近性;
广义Riccati变换;
【Key words】 third order functional differential equation; oscillatory behavior; asymptotic behavior; generalized Riccati transformation;
【Key words】 third order functional differential equation; oscillatory behavior; asymptotic behavior; generalized Riccati transformation;
【基金】 国家自然科学基金资助项目(10971018);山东省自然科学基金资助项目(ZR2011AL001,ZR2013AM031);滨州学院科研基金项目(BZXYKJ0810)
- 【文献出处】 滨州学院学报 ,Journal of Binzhou University , 编辑部邮箱 ,2013年06期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】50