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可测链上非线性微分方程最终正解的分类

Classification Eventually Positive Solutions of Nonlinear Neutral Differential Equations on a Measurable Chain
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摘要 讨论了可测链上非线性中立型Δ-微分方程,并给出它的最终正解的分类. In this paper,a nonlinear neutral differential equation is studied. Theclassifieation of its eventually positive solutions is also obtained.
作者 乔世东 张英
机构地区 山西大同大学数学与计算机科学学院
出处 《雁北师范学院学报》 2007年第2期1-4,共4页 Journal of Yanbei Teachers College
基金 山西大同大学科研课题[2006-K09]
关键词 △-微分方程 最终正解 可测链 differential equation eventually positive solution measurable chain
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献11

  • 1[1]Zhang G,Cheng S S.Positive solutions of a nonlinear neutral difference equation[J].Nonlinear Anal,1997,28(4):729-738.
  • 2[2]Zhang G,Cheng S S,Gao Y.Classifition schenes for positive solution of a second order nonlinear difference equation[J].J.Computational and Applied Math,1999,101:39-51.
  • 3[3]Zhang B G,Wang H.The existence of oscillatory and nonoscillatory solutions of neutral difference equations[J],Chinese,J.Math,1996,24(4):377-393.
  • 4[4]Erbe L,Peteson A.Positive solutions for a nonlinear differential equations on a measure chain[J],Math and Computer Modelling,2000,32:571-585.
  • 5[5]Li W T,Cheng S S.Classifications and existence of positive solutions of second order nonlinear difference equations[J].Colloquium Mathematicum,2000,83(1):137-153.
  • 6张炳根.测度链上微分方程的进展[J].中国海洋大学学报（自然科学版）,2004,34(5):907-912. 被引量：32
  • 7[7]Wu.Wei,Zhang Binggen.The Oscillation of Higher-Order Nonlinear Difference Equations[J].Applied Mathmatics Letter,2004,17:1363-1370.
  • 8[8]Dongqiao Shi,Zhang Ying.Classification schemes for positive solutions of second order nonlinear differential systems on measure chains[J].Far East J.Appl.Math,2005,18(3):251-270.
  • 9[9]Dongqiao Shi,Zhang Ying.Classification schemes for positive solutions of neutral differential equations on a measure chain[J].Far East J.Appl.Math,2005,20(2):219-232.
  • 10[10]Dongqiao Shi,Zhang Ying.Unstable type neutral differential equations with involving the maximum function on measure chains[J].Far East J.of Math.Sciences,2005,19(3):343-358.

二级参考文献37

  • 1Hilger S.Analysis on measure chains_a unified approach to continuous and discrete calculus [J].Results Math,1990,18:18-56.
  • 2Kaymakcalan B,Lakshmikantham V,Sivasundaram S.Dynamic Systems on Measure Chains [M].Boston:Kluwer Academic Publishers,1996.
  • 3Martin Bohner,Allan Peterson.Dynamic Equations on Time Scales,An Introduction with Applications [M].Boston:Birkhauser,2001.
  • 4Agarwal R P,Bohner M,O'Regan D,et al.Dynamic equations on time scales:a survey [J].J Comput Appl Math,2002,141 (1-2):1-26.
  • 5Bohner M,Guseinov G,Peterson A.Introduction to the Time Scales Calculus,Advances in Dynamic Equations on Time Scales,1-15 [M].Boston M A:Birkhanser,2003.
  • 6Agarwal R P,Bohner M.Basic calculus on time scales and some of its applications [J].Results Math,1999,35:3-22.
  • 7Kaymakalan B,Lawrence B A.Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales.Nonlinear Analysis [J].Real World Appl,2003,2:245-259.
  • 8Zhang B G,Zhu shanliang.Oscillation of second order nonlinear delay dynamic equations on time scales [J].Compnters Math.Applic.to a appear.
  • 9Erbe L,Hilger S.Sturmian theory on measure chains [J].Differential Equations Dynam.Systems,1993,1:223-246.
  • 10Erbe L H,Peterson A.Green functions and comparison theorems for differential equations on measure chains [J].Dynamics Contin Discrete Impuls Systems,1999,6:121-137.

共引文献31

雁北师范学院学报
2007年 第2期

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