Analysis in Theory and Applications

, Volume 21, Issue 4, pp 311–316 | Cite as

Asymptotic estimation for solution of a class of semi-linear Robin problems

  • Cheng Ouyang


A class of semi-linear Robin problem is considered. Under appropriate assumptions, the existence and asymptotic behavior of its solution are studied more carefully. Using stretched variables, the formal asymptotic expansion of solution for the problem is constructed and the uniform validity of the solution is obtained by using the method of upper and lower solution.

Key words

semi-linear singular perturbation Robin problem asymptotic expansion 

AMS(2000) subject classification

34A40 34B15 


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Copyright information

© Springer 2005

Authors and Affiliations

  • Cheng Ouyang
    • 1
  1. 1.Department of MathematicsHuzhou Teachers CollegeHuzhouP. R. China

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