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Infinitely Many Solutions of Boundary Value Problems for a Classof Second-Order Ordinary Differential Equations
一类二阶常微分方程边值问题的无穷多个解

Keywords: Variational structure,$Z_2$ group index theory,boundary value problems
变分原理
,Z2不变群指标,边值问题.,二阶,微分方程边值问题,多个解,DIFFERENTIAL,EQUATIONS,ORDINARY,CLASS,BOUNDARY,VALUE,PROBLEMS,充分条件,存在,指标研究,不变群,变分原理,利用

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Abstract:

By means of variational structure and $Z_2$ group index theory, infinitely many solutions of boundary value problems for second-order ordinary differential equations $$\arraycolsep=1.5pt \left\{\begin{array}{lcl}\displaystyle u'(t)-u(t)+ f(t,u(t))=0,\quad 0-\frac{1}{2}$.

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