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Finding Solutions to the Picard Boundary Value Problem via Homotopy Method

Finding Solutions to the Picard Boundary Value Problem via Homotopy Method
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摘要 This paper deals with the problem of finding solutions to the Picard boundary problem. In our approacn, by means of the homotopy method, the equation considered is linked to a simpler equation by introducing a parameter. We first find the solutions of the simpler equation, and give a priori estimates of the equation we considered, and then one can obtain the solutions of Picard boundary problem by following the path of solutions of Cauchy problem. This paper deals with the problem of finding solutions to the Picard boundary problem. In our approacn, by means of the homotopy method, the equation considered is linked to a simpler equation by introducing a parameter. We first find the solutions of the simpler equation, and give a priori estimates of the equation we considered, and then one can obtain the solutions of Picard boundary problem by following the path of solutions of Cauchy problem.
作者 李兰 徐旭
机构地区 College of Mathematics Singapore-MIT Alliance （ SMA ）
出处 《Northeastern Mathematical Journal》 CSCD 2008年第6期545-557,共13页 东北数学（英文版）
关键词 Picard boundary problem homotopy method path solution Picard boundary problem, homotopy method, path solution
分类号 O241.81 [理学—计算数学]
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参考文献10

  • 1Fabry,CH.and Habets,P.,The Picard boundary value problem for nonlinear second order vector differential equations,J.Differential Equations,42(1981),186-198.
  • 2Lloyd,N.G.,Degree Theory,Press of Virginia,Cambridge,1978.
  • 3Lu,X.G.and Li,Y.,Finding periodic solutions of ordinary differential equations via homotopy method,Appl Math.Comp.,78(1996),1-17.
  • 4Milnor,J.W.,Topology from the Differential Viewpoint,Univ.Press of Virginia,Charlottesville,1969.
  • 5Chow,S.N.,Mallet-Parer,J.and Yorke,J.A.,Finding zeroes of maps:homotopy methods that are constructive with probability one,Math.Comp.,32(1978),887-899.
  • 6Capietto,A.and Zanolin,F.,A continuation theorem for the periodic BVP in flow-invariant ENRs with applications,J.Differential Equations,83(1990),244-276.
  • 7Keller,H.B.,Global hornotopy and newton methods,In:Recent Advances in Numerical Analysis,Academic Press,1978,73-94.
  • 8Mawhin,J.,The Bernstein-Nagumo Problem and Two-point Boundary Value Problems for Ordinary Differential Equations,(in Proceedings Conf.),Qualitative Theory of Differential Equations,Szeged,1979.
  • 9Carcia,C.B.and Georg,K.,An approach to homotopy and degree theory,Math.Oper.Res.,4(1979),390-405.
  • 10Li,Y.and Lv,X.R.,Continuation theorems for boundary value problems,J.Math.Anal.Appl.,190(1995),32-49.
Northeastern Mathematical Journal
2008年 第6期

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