一类Sturm-Liouville型共振差分方程解的存在性  

Existence of Solutions for a Class of Sturm-Liouville Difference Equations at Resonance

作　　者：郝惠琴[1] 刘进生[1] 

机构地区：[1]太原理工大学数学系,山西太原030024

出　　处：《科技信息》2010年第33期I0147-I0148,I0168,共3页Science & Technology Information

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。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.

关 键 词：STURM-LIOUVILLE 差分方程 共振 临界点 临界群 

分 类 号：O175.15[理学—数学]