Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (2): 251-255.

• Articles • Previous Articles     Next Articles

A Singular Perturbation to Robin Boundary Value Problem of Semi linear ODF of Second Order  

 OU Yang-Cheng   

  • Online:2005-04-25 Published:2005-04-25
  • Supported by:

    国家自然科学基金(10471039)、浙江省自然科学基金(102009)、浙江省教育厅基金(20020305)资助

Abstract:

A Robin boundary value problem of semilinear singular p erturbation is considered by using an elementary method. By using the theory of  differential inequalities, the existence of solution for the problem is proved a nd the asymptotic estimation of solution is obtained. As applications, two examp les are given, namely, this result is applied to a model of combustion reaction  diffusion problem and the corresponding result of the relative Dirichlet problem  is obtained.

Key words: Singular perturbation, Semi linear, Differential inequalities

CLC Number: 

  • 34E20
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