A Spectrum Relation of Almost Periodic Solution of Second Order Scalar Functional Differential Equations with Piecewise Constant Argument  

作　　者：Li WANG Rong YUAN Chuan Yi ZHANG 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi＇an 710072, P. R. China [2]School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China [3]Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第11期2275-2284,共10页数学学报（英文版）

基　　金：The first author is supported by NPU Foundation for Fundamental Research （NPU-FFR-JC20100220）; the second author is supported by National Natural Science Foundation （Grant No. 11031002） and RFDP; the third author is supported by National Natural Science Foundation （Grant No. 11071048 ）

摘　　要：In this paper, the spectrum relation of almost periodic solution for the equation （x（t） ＋px（t - 1））＂ = qx（[t]） ＋ f（Q is investigated. Although this has been discussed in an article, some counterexamples are constructed to show that some part of the spectrum inclusion in that article is not correct. The key point which causes such problem is found out. A new statement is formulated and proved.In this paper, the spectrum relation of almost periodic solution for the equation （x（t） ＋px（t - 1））＂ = qx（[t]） ＋ f（Q is investigated. Although this has been discussed in an article, some counterexamples are constructed to show that some part of the spectrum inclusion in that article is not correct. The key point which causes such problem is found out. A new statement is formulated and proved.

关 键 词：Neutral delay-differential equation piecewise constant argument almost periodicity SPECTRUM 

分 类 号：O175.1[理学—数学] TN929.5[理学—基础数学]