| 一类泛函的临界点的存在性定理 |
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| 引用本文： | 张兴友 朱继生. 一类泛函的临界点的存在性定理[J]. 重庆大学学报(自然科学版), 1991, 14(5): 128-132 |
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| 作者姓名： | 张兴友 朱继生 |
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| 作者单位： | 重庆大学系统工程及应用数学系(张兴友)，重庆大学系统工程及应用数学系(朱继生) |
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| 摘 要： | 基于逼近理论的思想,我们对无穷维实Hilbert空间上一类泛函引入了一种序列指标(或简称S-指标),并对它在泛函的多重临界点问题中的应用作了讨论,从而在理论上为直接处理无穷维Hilbert空间上一类泛函的临界点问题提供了一种新工具。
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| 关 键 词： | 泛函 临界点 逼近 Morse指标 |
THE EXISTENCE THEOREMS FOR CRITICAL POINTS OF A CLASS OF FUNCTIONALS |
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| Zhang Xinyou Zhu Jisheng. THE EXISTENCE THEOREMS FOR CRITICAL POINTS OF A CLASS OF FUNCTIONALS[J]. Journal of Chongqing University(Natural Science Edition), 1991, 14(5): 128-132 |
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| Authors: | Zhang Xinyou Zhu Jisheng |
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| Affiliation: | Zhang Xinyou Zhu Jisheng |
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| Abstract: | Based on the notion of approximation, kind of sequence index (or,for simplicity ,S-index)for a class of functional on an infinite dimensional real Hilbert space is defined,and its significance in the critical point theory is investigated. Hence the S-index as a new theoretical tool to deal with the critical point problems for a class of functionals on the infinite dimensional Hilbert space is introduced. |
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| Keywords: | critical point approximation Morse index |
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