| 李树勇,徐道义.非线性抛物型偏泛函微分方程的渐近行为(英文)[J].数学研究及应用,2003,23(3):449~455 |
| 非线性抛物型偏泛函微分方程的渐近行为(英文) |
| Asymptotic Behavior of Nonlinear Parabolic Partial Functional Differential Equations |
| 投稿时间：2000-11-21 |
| DOI：10.3770/j.issn:1000-341X.2003.03.011 |
| 中文关键词: 稳定域 有界性 上、下解 |
| 英文关键词:stable region boundedness upper-lower solution. |
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| 摘要点击次数: 3210 |
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| 中文摘要: |
| 本文研究一类非线性抛物型偏泛函微分方程的渐近行为。采用上下解方法,建立了其解的有界性和稳定性,通过半群理论、非负矩阵性质和不等式技巧,得到估计这类方程平衡态渐近稳定域的方法。 |
| 英文摘要: |
| This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations. The boundedness and stability of the solutions are established by the upper-lower solution method. Some conditions are obtained by using the semigroup theory, the properties of nonnegative matrices and the techniques of inequalities to determine the asymptotically stable region of the equilibrium. |
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