一类带有次线性振动非线性项的两点边值问题无穷多个解的存在性

On the Existence of Solutions for Two-Point Boundary Value Problems with Sublinear Nonlinearity

利用临界点理论中的极小极大方法获得了下列两点边值问题{ü+u+f(t,u)=0u(0)=u(π)=0两列不同的解,其中f是次线性的.

Using the minimax method,we obtain two sequences of distinct solutions,one being the minimum and the other being the saddle point of the associated action functional,of the following boundary value problem ü＋u＋f（t,u）=0u（0）=u（π）=0 with sublinear nonlinearity.