Hammerstein积分方程的无穷可解性  

Infinite Many Solutions of Hammerstein Integral Equations

作　　者：彭国荣[1] 刘进生[1] 石宝峰[1] 张琼琼[1] 

机构地区：[1]太原理工大学理学院,山西太原030024

出　　处：《太原理工大学学报》2008年第S2期274-276,共3页Journal of Taiyuan University of Technology

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.

关 键 词：积分方程 无穷多解 临界点 MORSE理论 

分 类 号：O175.5[理学—数学]