| 一类反应扩散方程非负平衡解的存在性 |
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| 引用本文： | 谢强军,吴建华,黑力军.一类反应扩散方程非负平衡解的存在性[J].数学学报,2004,47(3):467-478. |
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| 作者姓名： | 谢强军 吴建华 黑力军 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 西安 710062 |
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| 基金项目： | 国家自然科学基金，教育部骨干教师资助计划，教育部优秀青年教师资助计划 |
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| 摘 要： | 本文利用锥映象不动点指数计算方法,结合极值原理、上下解方法以及算子的谱分析,得出了一类反应扩散方程非负平衡解的存在性。
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| 关 键 词： | 平衡解 锥映象 不动点指数 |
| 文章编号： | 0583-1431(2004)03-0467-12 |
Coexistence of Nonnegative Steady-State Solutions for a Class of Reaction-Diffusion Equations |
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| Qiang Jun XIE,Jian Hua WU,Li Jun HEI College of Mathematics and Information Science,Shaanxi Normal University,Xi'an ,P. R. China.Coexistence of Nonnegative Steady-State Solutions for a Class of Reaction-Diffusion Equations[J].Acta Mathematica Sinica,2004,47(3):467-478. |
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| Authors: | Qiang Jun XIE Jian Hua WU Li Jun HEI College of Mathematics and Information Science Shaanxi Normal University Xi'an P R China |
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| Institution: | Qiang Jun XIE;Jian Hua WU;Li Jun HEI College of Mathematics and Information Science, Shaanxi Normal University,Xi'an 710062, P. R. China |
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| Abstract: | In this paper, by means of calculating the indices of fixed points of compact
maps in cones, in combination with the maximum principles, lower-upper solutions
methods and spectrum analysis of operators, we consider the coexistence of steady
states for a kind of reaction-diffusion systems. |
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| Keywords: | Steady-state solution Mapping in cone Index of fixed point |
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