| 一阶半线性偏微分方程组的初边值问题 |
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| 引用本文： | 刘运康. 一阶半线性偏微分方程组的初边值问题[J]. 中山大学学报(自然科学版), 1991, 30(3): 96-100 |
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| 作者姓名： | 刘运康 |
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| 作者单位： | 中山大学计算机科学系 |
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| 摘 要： | 研究一阶半线性方程组的初边值问题,得出了整体解、正解和局部解的存在唯一性、稳定性和渐近估计。
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| 关 键 词： | 半线性偏微组 初边值问题 适定性 |
An Initial-Boundary-Value Problem for a First Order Semi-linear Systems of Partial Differential Equations |
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| Liu Yunkang. An Initial-Boundary-Value Problem for a First Order Semi-linear Systems of Partial Differential Equations[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1991, 30(3): 96-100 |
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| Authors: | Liu Yunkang |
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| Affiliation: | Liu Yunkang Department of Computer Science |
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| Abstract: | The uniqueness, existence, stability and asymptotic behavior of solutions of an initial-boundary-value problem for a first order semi-linear system are studied using iteration method. The positive solution and local solution with regard to different Lipschitz conditions of the right-hand terms are also discussed. |
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| Keywords: | semi-linear systems initial-boundary-value problem stability asymptotic behavior |
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