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超线性时滞微分方程解的振动性
OSCILLATION OF SUPERLINEAR DELAY DIFFERENTIAL EQUATIONS
【摘要】 研究一阶超线性时滞微分方程x′(t)+p(t)[x(t-r)]~α=0(α>1)解的振动性及非振动性,获得了保证其所有解振动的“almost sharp”准则,并应用所得结果于混合型时滞微分方程得到一族振动准则。
【Abstract】 In this paper, we consider the oscillation of solutions for the first order superlin-ear delay differential equations x’(t) + p(t)[x(t -r)]a = 0 (a > 1), and obtain some "almost sharp" oscillation criteria. In the final, by applying the obtained results in this paper, we also obtain some oscillation conditions for the mixed type delay differential equations
【基金】 国家自然科学基金95重点资助项目(19831030号)
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2003年02期
- 【分类号】O175
- 【被引频次】10
- 【下载频次】150