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POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS 被引量:1

POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS
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摘要 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. 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.
作者 娄本东
出处 《Acta Mathematica Scientia》 SCIE CSCD 2006年第4期670-678,共9页 数学物理学报(B辑英文版)
基金 Partially supported by the project-sponsored by SRF for ROCS, SEM
关键词 Semilinear parabolic equation equilibrium solution SUBSOLUTION SUPERSOLUTION Semilinear parabolic equation, equilibrium solution, subsolution, supersolution
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