楊軍,劉帥,侯小康
(1.燕山大學理學院,河北秦皇島 066004;2.河北省數(shù)學研究中心,河北石家莊 050000)
時標上帶強迫項高階中立型動力方程的振動性與非振動解的存在性
楊軍1,2,劉帥1,侯小康1
(1.燕山大學理學院,河北秦皇島 066004;2.河北省數(shù)學研究中心,河北石家莊 050000)
給出時標上一類帶強迫項高階中立型動力方程一切解振動和非振動解存在的若干充分條件.所得結果推廣了一些已有的結論.
時標;動力方程;強迫項;振動性;存在性
在微分、差分領域具有強迫項的方程已有一些研究成果[14],本文考慮時標T上一類帶強迫項非線性高階中立型變時滯動力方程
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[2]曹賢通,皮上超,俞元洪.帶強迫項高階中立型微分方程的振動性和非振動性[J].數(shù)學的實踐與認識, 2007,37(18):201-204.
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[4]Zhang Q X,Yan J R.Oscillation behavior of even order neutral differential equations with variable coefficients[J].Appl.Math.Letters,2006,19(11):1202-1206.
[5]Bohner M,Peterson A.Dynamic Equations on Time Scales:An Introduction with Applications[M].Boston: Birkh¨auser,2001.
Oscillation and existence of nonoscillatory solutions of forced higher order neutral dynamic systems on time scales
YANG Jun1,2,LIU Shuai1,HOU Xiao-kang1
(1.College of Sciences,Yanshan University,Qinhuangdao066004,China;
2.Mathematics Research Center in Hebei Province,Shijiazhuang050000,China)
Sufficient conditions are obtained for oscillation and existence of nonoscillatory solutions of a class of forced higher order neutral dynamic systems on time scales.The criteria generalize some known results.
time scales,dynamic systems,forced,oscillation,existence
O175.15
A
1008-5513(2009)04-0665-06
2008-07-08.
國家自然科學基金(60604004),河北省自然科學基金數(shù)學研究專項資助項目(07M005).
楊軍(1964-),博士,教授,研究方向:微分方程理論及應用.
2000MSC:34K11,34C11,39A11