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跨共振的周期-积分边值问题

Periodic-Integral Boundary Value Problems across Resonance
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摘要 研究二阶微分方程周期-积分边值问题,应用最优控制理论给出了跨多个共振情形下的二阶微分方程周期-积分边值问题唯一可解的最优条件. The periodic-integral boundary value problems for second order differential equations were considered.On the basis of optimal control theory method,we gave an optimal condition of the unique solvability to the periodic-integral boundary value problems for second order differential equations across multiple resonance.
作者 宋新 杨雪
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第1期66-67,共2页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11026043)
关键词 最优控制 二阶微分方程 周期-积分边值 唯一可解性 optimal control second order differential equations periodic-integral boundary value problem unique solvability
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参考文献6

  • 1CHANG Xiao-jun, HUANG Qing-dao. Two-Point Boundary Value Problems for Duffing Equations across Resonance [J]. J Optim Theory Appl, 2009, 140(3) : 419-430.
  • 2LI Yong, WANG Huai-zhong. Neumann Problems for Second Order Ordinary Differential Equations across Resonance [J]. Z Angew Math Phys, 1995, 46(3) : 393-406.
  • 3宋新,杨雪.周期-积分边值问题的最优可解性[J].吉林大学学报(理学版),2010,48(6):951-952. 被引量:1
  • 4WANG Huai-zhong, LI Yong. Existence and Uniqueness of Periodic Solutions for Duffing Equations across Many Points of Resonance [J]. J Differential Equations, 1994, 108(1): 152-169.
  • 5WANG Huai-zhong, LI Yong. Two Point Boundary Value Problems for Second-Order Ordinary Differential Equations across Many Resonant Points [J]. J Math Anal Appl, 1993, 179(1 ) : 61-75.
  • 6WANG Huai-zhong, LI Yong. Existence and Uniqueness of Solutions to Two Point Boundary Value Problems for Ordinary Differential Equations [J]. Z Angew Math Phys, 1996, 47(3) : 375-384.

二级参考文献3

  • 1WANG Huai-zhong,LI Yong.Existence and Uniqueness of Periodic Solutions for Duffing Equations Across Many Points of Resonance[J].J Differential Equations,1994,108(1):152-169.
  • 2WANG Huai-zhong,LI Yong.Neumann Boundary Value Problems for Second-Order Ordinary Differential Equations Across Resonance[J].Control Optim,1995,33(5):1312-1325.
  • 3CHANG Xiao-jun,HUANG Qing-dao.Two-Point Boundary Value Problems for Duffing Equations Across Resonance[J].J Optim Theory Appl,2009,140(3):419-430.

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