延边大学学报(自然科学版)
延邊大學學報(自然科學版)
연변대학학보(자연과학판)
JOURNAL OF YANBIAN UNIVERSITY(NATURAL SCIENCE EDITION)
2000年
2期
79-82
,共4页
临界点原理%积分方程%紧线性映射
臨界點原理%積分方程%緊線性映射
림계점원리%적분방정%긴선성영사
Critical point%Integral equation%Compact linear map
利用Banach空间中临界点原理,给出了积分方程广义解的多重性.当连续可微泛函I是偶函数时,证明了其更强的结果.
利用Banach空間中臨界點原理,給齣瞭積分方程廣義解的多重性.噹連續可微汎函I是偶函數時,證明瞭其更彊的結果.
이용Banach공간중림계점원리,급출료적분방정엄의해적다중성.당련속가미범함I시우함수시,증명료기경강적결과.
This paper contain some general existence theorems for critical points of a continuously differentiable functional I on a real Banach space. The strongest results are for the case in which I is even. Applications are given to integral equations.
