| POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS |
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| 作者姓名： | 娄本东 |
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| 作者单位： | Department of |
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| 基金项目： | Partially supported by the project-sponsored by SRF for ROCS, SEM |
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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.
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| 关 键 词： | 半线性抛物线方程 平衡解 下解 上解 |
| 收稿时间： | 2003-09-29 |
POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS |
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| Bendong Lou,.POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS[J].Acta Mathematica Scientia,2006,26(4):670-678. |
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| Authors: | Bendong Lou |
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| Institution: | aDepartment of Applied Mathematics, Tongji University, Shanghai 200092, China |
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| 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. |
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| Keywords: | Semilinear parabolic equation equilibrium solution subsolution supersolution |
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