| Amann三解定理的改进及其应用 |
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| 引用本文： | 李福义. Amann三解定理的改进及其应用[J]. 系统科学与数学, 1999, 19(4): 403-406 |
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| 作者姓名： | 李福义 |
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| 作者单位： | 山西大学数学系!太原０３０００６ |
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| 基金项目： | 国家自然科学基金，山西省青年科学基金 |
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| 摘 要： | 本文对非线性泛函分析中著名的Ａｍａｎｎ三解定理作了本质性的改进，并将其结果应用到核函数不恒为正的Ｈａｍｍｅｒｓｔｅｉｎ型积分方程，得到了新的结论．
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| 关 键 词： | 锥 不动点指数 核函数k（x，y） |
IMPROVEMENT ON AMANN'S THREE-SOLUTION THEOREM AND APPLICATIONS |
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| Fu Yi LI. IMPROVEMENT ON AMANN'S THREE-SOLUTION THEOREM AND APPLICATIONS[J]. Journal of Systems Science and Mathematical Sciences, 1999, 19(4): 403-406 |
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| Authors: | Fu Yi LI |
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| Affiliation: | Department of Mathematics, Shanxi University, Taiyuan 030006,P.R.China |
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| Abstract: | in this paper, we have improved the famous Amann's three--solution theorem[1,2]in nonlinear functional analysis, and have removed the forllwing conditions used by Amann:The cone is solid, the operator A is strongly increasing and A_e= A o Je|[u1,u2]e is a strict setcontraction. The improved Amann's three-solution theorem can be applied to Hammersteinintegral equations, where the kernel k(x, y) is not everywhere positive. |
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| Keywords: | Cone fixed point index kernel k(x y). |
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