Articles

POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

  • Lou Bendong
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  • Department of Applied Mathematics, Tongji University, Shanghai 200092, China

Received date: 2003-09-29

  Revised date: 1900-01-01

  Online published: 2006-10-20

Abstract

The author studies semilinear parabolic equations with initial and periodic boundary value conditions. In the presence of non-well-ordered sub- and
super-solutions: ``subsolution ≮ supersolution", the existence and stability/instability of equilibrium solutions are obtained.

Cite this article

Lou Bendong . POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS[J]. Acta mathematica scientia, Series B, 2006 , 26(4) : 670 -678 . DOI: 10.1016/S0252-9602(06)60093-3

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