| 一类半线性第三类椭圆边值问题非负解的存在性与唯一性 |
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| 引用本文： | 王豫,温学兵.一类半线性第三类椭圆边值问题非负解的存在性与唯一性[J].沈阳师范大学学报(自然科学版),2011,29(4):490-494. |
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| 作者姓名： | 王豫 温学兵 |
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| 作者单位： | 1. 沈阳市化工学校,沈阳,110122
2. 北京工业大学应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目(60542002); 辽宁省教育厅科学研究资助项目(2008z018) |
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| 摘 要： | 人口扩散模型在社会、经济等多方面有着广泛的应用,对其进行深入的研究有着一定的理论和实际意义.对一类人口扩散方程在其稳定状态下解的性态进行了讨论,其模型在稳定状态是一类半线性椭圆微分方程；对半线性椭圆微分方程的第三边值问题解的存在性和唯一性进行了研究.采用了上、下解方法,构造边值问题的上下解,证明了其非负解的存在性；并就...
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| 关 键 词： | 人口扩散模型 半线性椭圆微分方程 非负解 |
Existence and uniqueness of non-negative solution for semi-linear elliptic equations third boundary value problem |
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| WANG Yu,WEN Xue-bing.Existence and uniqueness of non-negative solution for semi-linear elliptic equations third boundary value problem[J].Journal of Shenyang Normal University: Nat Sci Ed,2011,29(4):490-494. |
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| Authors: | WANG Yu WEN Xue-bing |
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| Institution: | WANG Yu1,WEN Xue-bing2(1.Shenyang Chemical Industry School,Shenyang 110022,China,2.College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | The model of population diffusion is widely used in society and economy,and the futher research has certain theoretical and practical significance.In this paper the solution's character of population diffusion equation in their stable state is discussed.The existence and uniqueness of third value boundary problem of semi-linear elliptic equations is analyzed.With sup-solution and sub-solution methods,the existence of non-negative solution is presented and uniqueness conditions are given.The results have pra... |
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| Keywords: | model of population diffusion semi-limear elliptic equation non-negative solution |
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