变系数一阶中立型微分方程的振动性  

OSCILLATION OF FIRST ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

作　　者：李宏飞 王志斌 

机构地区：[1]榆林高专数学系

出　　处：《纯粹数学与应用数学》1999年第1期49-53,共5页Pure and Applied Mathematics

基　　金：陕西省教委科研基金

摘　　要：考虑了微分方程［ｘ（ｔ）－ｐｘ（ｔ－τ）］′＋∑ｎｉ＝１Ｑｉ（ｔ）ｘ（ｔ－τｉ）＝０ｔ≥ｔ０（１）其Ｐ∈Ｒ＋＝［０，∞），τ，τｉ为正常数，Ｑｉ（ｔ）∈Ｃ（［ｔ０，∞），Ｒ＋）（ｉ＝１，２，…，ｎ）且∑ｎｉ＝１∫∞ｔ０Ｑｉ（ｔ）ｄｔ＝∞，获得了方程（１）振动的几个充分条件；减弱了文［１］Ｑ（ｔ）为周期系数的条件，推广和改进了文［１］的相应结果。In this paper, We discuss the oscillation of the differential equations [x(t)-px(t-τ)]′+∑ni=1Q i(t)x(t-τ i)=0 t≥t 0 here p∈R +=[0,+∞), τ,τ i are positive constants, Q i(t)∈C([t 0,∞),R +) (i=1,2,…,n) and ∑ni=1∫ ∞ t 0 Q i(t)dt=∞. Some sufficient conditions are obtained. The conditions of are reduced. Relative results are extended and improved, and some results are new.

关 键 词：中立型方程 振动性 最终正解 变系数 微分方程 

分 类 号：O175.1[理学—数学]