| Banach空间中半线性发展方程的复合单调迭代技巧 |
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| 引用本文： | 戴云,王良龙.Banach空间中半线性发展方程的复合单调迭代技巧[J].数学理论与应用,2004,24(3):9-12. |
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| 作者姓名： | 戴云 王良龙 |
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| 作者单位： | [1]安徽大学数学系，合肥，230039 [2]中国科学技术大学数学系，合肥，230026 |
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| 摘 要： | 本文对具有正则锥的序Banach空间中半线性发展方程，利用C0-半群理论和复合单调迭代技巧，构造出了抽象迭代格式，并建立了最大、最小(拟)解的存在性．
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| 关 键 词： | 单调迭代 发展方程 Banach空间 半线性 解的存在性 C0-半群 迭代格式 最大 技巧 理论 |
Mixed Monotone Iterative Techniques for Semilinear Evolution Equations in Banach Spaces |
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| Dai Yun,Wang Lianglong.Mixed Monotone Iterative Techniques for Semilinear Evolution Equations in Banach Spaces[J].Mathematical Theory and Applications,2004,24(3):9-12. |
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| Authors: | Dai Yun Wang Lianglong |
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| Institution: | Dai Yun 1 Wang Lianglong 1,2 |
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| Abstract: | This note is concerned with initial value problems for semilinear evolution equations in an ordered Banach space with a regular cone.The abstract iterative schemes are constructed by combining the theory of postitive C 0-semigroups and the mixed monotone iterative techniques.Some existemce results on minimal and maximal (quasi-)solutions are established for abstract semilinear evolution equations with mixed monotone nonlinear terms. |
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| Keywords: | Regular cone C 0-semigroup mixed monotonicity coupled lower and upper quasi-solution semilinear evolution equation |
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