中立型方程解的零点的分布

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基金项目: 国家自然科学基金;湖南省自然科学基金

The Distribution of Zeroes of Solutions of Neutral Equations

1.
Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, P. R. China;
2.
Department of Applied Mathematics, Human University, Changsha, Hunan 410082, P. R. China

摘要: 本文研究一阶中立型时滞微分方程解的零点的分布,去掉了已有文献中对系数较强的限制条件,获得了这类方程振动解的相邻零点间距离的估计,并且改进和推广了文献中的一些知结果.
- 中立型方程 /
- 零点分布 /
- 估计
Abstract: The purpose of ibis paper is to study the distribution of zerocs of solutions of the neutral delay differential equations. An estimate is estublished for the distance between adjacenlt zeroes of the solutions of such equations under less restritive hypotheses on the variable coefficients.The results obtained improve and extend scme known resultsin the literature.
- neutral equation /
- distribution of zeroes /
- estimate

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