| 微分算子扰动问题的值域研究 |
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| 引用本文： | 孟钢,章梅荣.微分算子扰动问题的值域研究[J].应用数学,2006,19(3):613-620. |
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| 作者姓名： | 孟钢 章梅荣 |
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| 作者单位： | 清华大学数学科学系,北京,100084 |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划) |
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| 摘 要： | 本文研究作用在C2周期函数空间上的微分算子u→u″ g(u) ,其中g(u)为连续有界函数.我们将证明上述微分算子的值域限制在周期函数空间的“超曲面”中.
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| 关 键 词： | 值域 微分算子 周期解 上下解方法 |
| 文章编号： | 1001-9847(2006)03-0613-08 |
| 收稿时间： | 2005-12-13 |
| 修稿时间： | 2005年12月13 |
On the Range of the Second-Order Differential Operator with Bounded Perturbations |
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| MENG Gang,ZHANG Mei-rong.On the Range of the Second-Order Differential Operator with Bounded Perturbations[J].Mathematica Applicata,2006,19(3):613-620. |
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| Authors: | MENG Gang ZHANG Mei-rong |
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| Institution: | Department of Mathematical Sciences, Tsinghua University ,Beijing 100084, China |
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| Abstract: | In this paper we will study the differential operator u → u "+g (u) which acts on thes pace of C2 periodic functions , where g (u) is a continuous bounded function which is complementary to the Landesman-Lazer case . It will be proved that the range of the differential operator above is a 'twisted' strip in the space of periodic functions. |
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| Keywords: | Range Differential operator Periodic solution Alternative method Upper-lower solution method |
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