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测度链上一阶中立型动力方程的无界解 被引量:1

Unbounded Solutions for First Order Netural Dynamic Equation on Measure Chains
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摘要 考虑了测度链上一类中立型动力方程的无界解,通过构造函数序列,运用Lebsgue控制收敛定理,.获得该方程无界正解存在的充分条件. This paper is concerned about unbounded solution of some netural dynamic equation. By structuring sequence and using Lebesgue theorem sufficient conditions for existence of unbounded solutions are abtained.
出处 《湖南工程学院学报(自然科学版)》 2006年第4期69-71,共3页 Journal of Hunan Institute of Engineering(Natural Science Edition)
关键词 测度链 中立型 无界解 measure chains netural unbounded solution
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参考文献6

  • 1S.Hilger.Analysis on measure chains A unified approach to continuous and discrete calculus[J].Results in Matematics 1990,18:18-56.
  • 2S.Hilger.Differential and difference calculus-Unified[J].Nonlinear Analysis,1997,30 (5):2683-2694.
  • 3M.Bohner,A.Peterson.Dynamic Equations on time scales[M].Boston:Birkhauser,2001.
  • 4R.P.Agarwal,M.Bohner.Basic calculus on time scales and some of its applications[J].Results Math.,1999,35:3-22.
  • 5M.Bohner,J.E.Castillo.Mimetic methods on measure chains[J].Computer.Math.Appl.,2001,42:705-710.
  • 6L.Erbe and A.Peterson.Riccati equations on a measure chain[J].In Proc.Dynamic Systems Appl.,Volume 3,Dynamic Publishers,2001,3:193-199.

同被引文献7

  • 1刘兰初,刘光辉.测度链上具有正负系数的中立型动力方程的有界解[J].江西师范大学学报(自然科学版),2006,30(4):336-338. 被引量:3
  • 2S. Hilger. Analysis on Measure Chains A Unified Approach to Continuous and Discrete Calculus[J]. Results in Matematics 1990(18): 18-56.
  • 3S. Hilger. Differential and Difference Calculus-Unified [J]. Nonlinear Analysis, 1997,30(5) :2683-2694.
  • 4M. Bohner ,A. Peterson. Dynamic Equations on time scales[M].BostoniBirkhauser, 2001.
  • 5R. P. Agarwal ,M. Bohner. Basic Calculus on Time scales and Some of its Applications [J]. Results Math. , 1999,35: 3-22.
  • 6M. Bohner, J. E. Castillo, Mimetic Methods on Measure Chains[J]. Comput. Math. Appl. , 2001,42:705-710.
  • 7L. Erbe and A. Peterson, Riccati Equations on a Measure chain, In Proc[M]. Dynamic Systems Appl. , Volume 3, Dynamic Publishers, 2001 : 193 -199.

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