| 拓扑度的计算及其对超线性方程组的应用 |
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| 引用本文： | 刘笑颖.拓扑度的计算及其对超线性方程组的应用[J].系统科学与数学,1996,16(1):051-059. |
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| 作者姓名： | 刘笑颖 |
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| 作者单位： | 徐州师范学院数学系，山东大学数学系 |
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| 摘 要： | 本文利用锥理论给出了新的拓扑度计算方法．作为应用，研究了超线性积分方程组和超线性常微分方程组两点边值问题非平凡解的存在性．
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| 关 键 词： | 拓扑度计算，超线性方程组，非平凡解 |
COMPUTATION OF TOPOLOGICAL DEGREE AND APPLICATIONS TO SUPERLINEAR SYSTEM OF EQUATIONS |
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| LIU XIAO-YING,SUN JING-XIAN.COMPUTATION OF TOPOLOGICAL DEGREE AND APPLICATIONS TO SUPERLINEAR SYSTEM OF EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1996,16(1):051-059. |
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| Authors: | LIU XIAO-YING SUN JING-XIAN |
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| Institution: | (1)Department of Mathematics, Xuzhou Teachers College,Jiangsu,221009;(2)Department of Mathematics, Shandong University, Jinan,250100 |
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| Abstract: | A new method of computation of the topological degree is given by making use of the theory of cones in this paper.As applications, we study the existence of nontrivial solutions for superlinear system of integral equations and two-point boundary value problem of superlinear system of ordinary differential equations. |
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| Keywords: | Computation of the topological degree superlinear nontrivial solution |
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