期刊文献+

测度链上微分方程的进展 被引量:32

Advances of Differential Equations on Measure Chains
下载PDF
导出
摘要 综述测度链上微分方程理论的基本概念及其最新进展 ,包括作者的研究集体所做的工作 ,也提出一些值得进一步研究的课题。 In this paper, we discuss the basic concepts and the advance in the theory of differential equations on measure chains, including the work of the author's research group. Some open problems for further research are posed.
作者 张炳根
出处 《中国海洋大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第5期907-912,共6页 Periodical of Ocean University of China
基金 国家自然科学基金项目 (1 0 371 1 0 3)资助
关键词 测度链 微分方程 动力方程 振动性 边值问题 时滞 measure chains time scales dynamic equation oscillation boundary value problem delay
  • 相关文献

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.

同被引文献218

引证文献32

二级引证文献34

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部