关于一类非线性方程的非零解与固有元问题

On the non-zero solutions and eigenvectors for a class of nonlinear equation

fp -同伦方法 ,通过特殊的技巧———构造若干特定的泛函 ,在边界条件 (MS ; C ,a)和 (CS ; D ,b )等的支持下 ,研究了Banach空间中集值凝聚方程的非零解与固有元的若干问题 .

Under some boundary conditions(MS; C, a)and(CS; D, b), problems on the non-zero solutions of equations and the eigenvectors for a class of set valued condensations are studied in the Banach space. The fp-homotopy method and the special technique by constructing some specific functionals are used.