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Finding Periodic Solutions of Ordinary Differential Equations by the Homotopy Method 被引量：1

Finding Periodic Solutions of Ordinary Differential Equations by the Homotopy Method
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摘要 As an important aspect of applications, it is discussed how to find periodic solutions for ordinary differential equations. By using the homotopy method, a global method for finding those solutions is proposed. As an important aspect of applications, it is discussed how to find periodic solutions for ordinary differential equations. By using the homotopy method, a global method for finding those solutions is proposed.
作者 王国铭 吕显瑞 黄庆道
机构地区 School of Mathematics School of Mathematics
出处 《Northeastern Mathematical Journal》 CSCD 2004年第3期369-378,共10页 东北数学（英文版）
关键词 homotopy method finding periodic solution global convergence comparison principle homotopy method, finding periodic solution, global convergence, comparison principle
分类号 O175.1 [理学—基础数学]
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同被引文献8

  • 1Franco D,Nieto J J,O'Regan D.Anti-periodic Boundary Value Problem for Nonlinear First Order Ordinary Differential Equation[J].Math Ineq Appl,2003,6(3):477-485.
  • 2Aftabizadeh A R,Huang Y K,Pavel N H.Nonlinear Third-order Differential Equations with Anti-periodic Bounary Conditons and Some Opimal Control Problems[J].J Math Anal Appl,1995,192(1):266-293.
  • 3Aizicovici S,McKibben M,Reich S.Anti-periodic Solutions to Nonmonotone Evolution Equations with Discontinuous Nonlinearities[J].Nonlinear Anal,2001,43(2):233-251.
  • 4CHEN Yu-qing.Anti-periodic Solution for Semilinear Evolution Equations[J].J Math Anal Appl,2006,315(1):337-348.
  • 5Kellogg R B,Li T Y,Yorke J A.A Constructive Proof of the Brouwer Fixed Point Theorem and Computational Results[J].SIAM J Numer Anal,1976,13:473-483.
  • 6Smale S.A Convergent Process of Price Adjustment and Global Newton Methods[J].J Math Econ,1976,3(2):1-14.
  • 7LI Yong,LU Xian-rui.Continuation Theorems to Boundary Value Problems[J].J Math Anal Appl,1995,190(1):32-49.
  • 8LU Xi-guan,LI Yong,SU Yi.Finding Periodic Solutions of Ordinary Differential Equations via Homotopy Method[J].Appl Math Comput,1996,78(1):1-17.

引证文献1

Northeastern Mathematical Journal
2004年 第3期

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