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一类非线性泛函微分方程的振动性准则
Oscillation Criteria for A Class of Nonlinear Functional Differential Equations
【摘要】 给出了带强迫项的二阶非线性微分方程x″(t)+p(t)f(x(t),x(τ(t)))g(x′(t))=e(t)振动的若干新的充分条件,改进并推广了孙元功(2003)的结果.
【Abstract】 Some new sufficient conditions are given for the oscillation of the forced second-order nonlinear differential equations of the formx″(t)+p(t)f(x(t),x(τ(t)))g(x′(t))=e(t).Our methodology is somewhat different from that of previous authors.Our results generalize and extend some earlier results of Sun Yuangong(2003).
【关键词】 泛函微分方程;
振动性;
延滞方程.;
【Key words】 functional differential equations; oscillation; delayed argument;
【Key words】 functional differential equations; oscillation; delayed argument;
【基金】 国家自然科学基金(10771118);山东省自然科学基金(ZR2009AM011)
- 【文献出处】 曲阜师范大学学报(自然科学版) ,Journal of Qufu Normal University(Natural Science) , 编辑部邮箱 ,2010年03期
- 【分类号】O175.1
- 【下载频次】79