Initial Value Problem Method for Diffeomorphism and Its Applications

被引：0
作者：
Xin Niu
Zhenghua Jiang
机构：
[1] Hefei University,Department of Mathematics and Physics
[2] Nanjing University,Department of Mathematics
来源：
Qualitative Theory of Dynamical Systems | 2018年 / 17卷
关键词：
Initial value problem method; Diffeomorphism; Boundary value problems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A set of sufficient conditions related to a class of initial value problems are given for the global diffeomorphism of a nonlinear mapping F. In addition, the results obtained are used to discuss the existence and uniqueness of solution for the boundary value problems.
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页码：81 / 90
页数：9
相关论文
共 10 条
  • [1] Ahmad S(1973)An existence theorem for periodically perturbed conservative systems Mich. Math. J. 20 385-392
  • [2] Brown KJ(1980)Perturbed conservatives systems and a global inverse function theorem Nonlinear Anal 4 193-201
  • [3] Lin SS(1979)Anew method for solving nonlinear simultaneous equations SIAM J. Numer. Anal. 16 779-789
  • [4] Inserti S(1966)On solving nonlinear equations with a one-parameter operator imbedding SIAM J. Numer. Anal. 5 739-752
  • [5] Parisi A(1974)Homeomorphisms between banach spaces Trans. Amer. Math. Soc. 200 169-183
  • [6] Zirilli F(1980)Global inversion theorems and application to differential equations Nonlinear Anal. 4 951-965
  • [7] Meyer GH(undefined)undefined undefined undefined undefined-undefined
  • [8] Plastock R(undefined)undefined undefined undefined undefined-undefined
  • [9] Radulescu M(undefined)undefined undefined undefined undefined-undefined
  • [10] Radulescu S(undefined)undefined undefined undefined undefined-undefined
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