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The asymptotic expansions of singularly perturbed boundary value problems

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Abstract

In this paper we study the singularly perturbed boundary value problem: ɛy″=f(t,y,ɛw), y(0)=ξ(ɛ), y(1)=η(ɛ), where ɛ is a positive small parameter. In the conditions: fy(0,y,0)⩾m0, fy(1,y,0)⩾m0 and fy(t,y,e)⩾0, we prove the existences, and uniformly valid asymptotic expansions of solutions for the given boundary value problems, and hence we improve the existing results.

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Authors and Affiliations

  1. Dept. of Math., Jilin Univ., Changchun

    Zhou Qin-de & Li Yong

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  1. Zhou Qin-de
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  2. Li Yong
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Communicated by Chien Wei-zang

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Qin-de, Z., Yong, L. The asymptotic expansions of singularly perturbed boundary value problems. Appl Math Mech 10, 577–581 (1989). https://doi.org/10.1007/BF02017902

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  • DOI: https://doi.org/10.1007/BF02017902

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