| 抽象空间非线性发展方程周期解的存在唯一性 |
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| 引用本文： | 梁玥. 抽象空间非线性发展方程周期解的存在唯一性[J]. 青海师范大学学报(自然科学版), 2008, 0(4): 3-6 |
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| 作者姓名： | 梁玥 |
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| 作者单位： | 甘肃农业大学理学院,甘肃,兰州,730070 |
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| 摘 要： | 本文把L－拟上下解方法引入有序Banach空间中非线性发展方程u′（t）＋Au（t）=f（t，u（t），u（t））（t∈R）的ω一周期解的研究，利用正算子半群的特征和混合单调迭代方法，获得了其ω一周期解的存在唯一性定理．所得结果概括和推广了常微分方程与偏微分方程中的部分现有结论．
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| 关 键 词： | L-拟上下解 正C0-半群 混合单调迭代方法 |
Existence and uniqueness of periodic solutions of nonlinear evolution equations in abstract space |
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| LIANG Yue. Existence and uniqueness of periodic solutions of nonlinear evolution equations in abstract space[J]. Journal of Qinghai Normal University(Natural Science Edition), 2008, 0(4): 3-6 |
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| Authors: | LIANG Yue |
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| Affiliation: | LIANG Yue (Science College of Gansu Agricultural University, Lanzhou 730070, China) |
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| Abstract: | In this paper,the L-quasi upper and lower solutions method is applied to periodic solution problems of nonlinear evolution equations in ordered Banach space.The results on the existence and uniqueness are obtained by using the characteristics of positive operators semigroup and the monotone iteration scheme.The paper generalizes and extends the relevant results in ordinary differential equations and partial differential equations. |
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| Keywords: | L-quasi upper and lower solutions positive Co-semigroups monotone iterative technique |
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