具有变号核的非线性Hammerstein积分方程的固有值与固有元

摘要

In this paper,we study the eigenvalues and eigenvectors of a class of nonlinear Hammerstein integral equation, where the sign of the kernel k (x,y) may be variable. We weaken the conditions of Sun and Lou in Nonlinear Anal. , 1997,Vol. 29(11):1272-1285 ,and obtain the same results.%文章研究了一类具有变号核的非线性Hammerstein积分方程的固有值与固有元,减弱了孙和娄在1997年Nonlinear Anal.,Vol.29(11):1272-1286中使用的条件,而得到了同样的结果,因而改进了孙和娄的结果.