摘要
本文主要利用变分方法得出一类非线性桥梁方程Lu+bu^+-au^-=1+εh(x,t)在H中至少存在三个解,其中3<a,b<15.
Let Lu = utt + uxxxx and H be the complete normed space spanned by the eigenfunctions of L. A nonlinear suspension bridge equation (3 〈 a, b 〈 15) Lu+bu^+~au^-=1+εh(x,t) in H has at least three solutions. This conclusion is shown by a variational reduction method.
基金
国家自然科学基金(10471018)
关键词
特征值
临界点
变分方法
eigenvalue
critical points
variational reduction method.