| 一类Sturm—Liouville型共振差分方程解的存在性 |
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| 引用本文： | 郝惠琴,刘进生.一类Sturm—Liouville型共振差分方程解的存在性[J].科技信息,2010(33):I0147-I0148,I0168. |
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| 作者姓名： | 郝惠琴 刘进生 |
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| 作者单位： | 太原理工大学数学系,山西太原030024 |
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| 摘 要： | 本文利用非线性泛函分析中的变分方法，结合临界点理论，特别是临界群与Morse理论，研究了一类非线性Sturm—Liouville型共振差分方程两点边值问题解的存在性。
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| 关 键 词： | Storm—Liouville 差分方程 共振 临界点 临界群 |
Existence of Solutions for a Class of Sturm-Liouville Difference Equations at Resonance |
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| HAO Hui-qin,LIU Jin-sheng.Existence of Solutions for a Class of Sturm-Liouville Difference Equations at Resonance[J].Science,2010(33):I0147-I0148,I0168. |
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| Authors: | HAO Hui-qin LIU Jin-sheng |
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| Institution: | (Department of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi, 030024, China) |
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| Abstract: | In this paper, the existence of solutions for a class of Sturm-Liouville difference equations at resonance is discussed by variational method, the critical point theory, especially critical groups and the Morse theory of nonlinear functional analysis. |
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| Keywords: | Sturm-Liouville Difference equations Resonance Critical point Critical groups |
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