节点文献
不稳定型泛函微分方程非振动解分类的注记
A Note on Classification for Nonoscillatory Solutions of Unstable Type Functional Differential Equations
【摘要】 通过列举反例 ,指出《Oscillation Theory of Functional Differential Equations》一书中关于不稳定型泛函微分方程 ( x( t) -px( t-r) )′-q( t) x( g( t) ) =0 , t≥t0非振动解分类结果的错误 .其中 p≥ 0 ,r>0 ,q∈ C( [t0 ,∞ ) ,R+ ) ,g∈ C( [t0 ,∞ ) ,R) ,g( t)≤ t,且 limt→∞ g( t) =∞的正解的渐近型分类当 p=1时是不成立的 .在指出错误的基础上对该结果进行了适当的修改
【Abstract】 Through presenting a reverse evidence,point out the error of a result about classification for nonoscillatory solutions of unstable type functional differential equations in the book of "Oscillation Theory for Functional Diffevential Equations".If p =1,the classification of asymptotic behavior for positive solution of the equation (x(t)-px(t-r))′-q(t)x(g(t))=0, t≥t 0. Where p≥0,r>0,q∈C([t 0,∞),[WTHZ]R +),g∈C([t 0,∞),[WTHZ]R),g(t)≤t, and lim t→∞g(t)=∞ is not right,and modifies the result appropriately.
【Key words】 unstable type functional differential equations; nonoscillation solutions; asymptotic behavior;
- 【文献出处】 河北师范大学学报 , 编辑部邮箱 ,2001年04期
- 【分类号】O175.7
- 【下载频次】11