非线性差分方程的多重周期解(英文)

Abstract

用变分方法得到一类非线性差分方程多重周期解的存在性.我们的结果推广了Cai, Yu和Guo[Comput.Math.Appl.,52(2006),1630-1647]的结果,并且这里给出的证明显著地简化了.

Multiple solutions for a class of nonlinear difference equations are obtained by variational methods. Our results generalize a recent result of Cai,Yu and Guo[Comput.Math.Appl.,52(2006),1630-1647],and the argument here is considerably simpler.