| 带有指数型非线性项的离散泊松方程和热方程 |
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| 引用本文： | 李亚峰,辛巧,穆春来.带有指数型非线性项的离散泊松方程和热方程[J].数学物理学报(A辑),2019(4):773-784. |
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| 作者姓名： | 李亚峰 辛巧 穆春来 |
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| 作者单位： | 伊犁师范学院数学与统计分院;重庆大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11461075)~~ |
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| 摘 要： | 该文主要利用单调迭代法和比较原理研究了带有指数型非线性项的离散泊松方程和带有指数型非线项的离散热方程解的存在性之间的关系,主要给出了带有指数型非线性项的离散泊松方程解存在时,带有指数型非线项的离散热方程解的渐近稳定性.
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| 关 键 词： | 离散泊松方程 离散热方程 图 比较原理 爆破 |
The Discrete Possion Equation and the Heat Equation with the Exponential Nonlinear Term |
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| Li Yafeng,Xin Qiao,Mu Chunlai.The Discrete Possion Equation and the Heat Equation with the Exponential Nonlinear Term[J].Acta Mathematica Scientia,2019(4):773-784. |
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| Authors: | Li Yafeng Xin Qiao Mu Chunlai |
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| Institution: | (College of Mathematics and Statistics, Yili Normal University,Xinjiang Yingning 835000;College of Mathematics and Statistics, Chongqing University,Chongqing 401331) |
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| Abstract: | Li Yafeng;Xin Qiao;Mu Chunlai(College of Mathematics and Statistics, Yili Normal University,Xinjiang Yingning 835000;College of Mathematics and Statistics, Chongqing University,Chongqing 401331) |
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| Keywords: | Discrete Poisson equation Discrete heat equation Graph Comparison principle Blow-up |
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