非正定核Hammerstein型积分方程解的个数

THE NUMBER OF SOLUTIONS TO INDEFINITE HAMMERSTEIN EQUATIONS

利用变分方法讨论了非线性Ｈａｍｍｅｒｓｔｅｉｎ型积分方程的可解性及多重解．对核的非正特征值不加任何条件，这与现有文献所加条件不同．

The inain purpose of this paper is to find multiple solutions to the nonlinear Hammerstein integral equation by variable method.Various sufficient conditions,which differ from those found in the literature,are given and no condition is imposed upon the negative eigenvalves of the kernel.