摘要
研究一类Hammerstein积分方程的无穷可解性。利用变分方法及Morse理论证明了当其非线性项满足一定的假设条件时,该方程存在无穷多个解。
The problem of infinite many solutions for some Hammerstein integral equations is studied.If certain conditions are imposed on the nonlinear term,the result is proved that there are infinite many solutions by using variational methods and Morse theory.
出处
《太原理工大学学报》
CAS
北大核心
2008年第S2期274-276,共3页
Journal of Taiyuan University of Technology
关键词
积分方程
无穷多解
临界点
MORSE理论
Integral equation
infinite many solutions
Critical points
Morse theory
