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Singular perturbation of general boundary value problem for nonlinear differential equation system

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Abstract

In this paper, the singular perturbation of nonlinear differential equation system with nonlinear boundary conditions is discussed. Under suitable assumptions, with the asymptotic method of Lyusternik-Vishik[1] and fixed point theory, the existence of the solution of the perturbation problem is proved and its uniformly valid asymptotic expansion of higher order is derived.

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Authors and Affiliations

  1. Quanzhou Liming Occupation University, 362000, Quanzhou, PR China

    Zhou Yali

  2. Mathematics Department, Fujian Normal University, 350007, Fuzhou, PR China

    You Zhefeng & Lin Zongchi

Authors
  1. Zhou Yali
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  2. You Zhefeng
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  3. Lin Zongchi
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Project supported by the National Natural Science Foundation of Fujian Province

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Yali, Z., Zhefeng, Y. & Zongchi, L. Singular perturbation of general boundary value problem for nonlinear differential equation system. Appl Math Mech 19, 531–538 (1998). https://doi.org/10.1007/BF02453408

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  • DOI: https://doi.org/10.1007/BF02453408

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