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

作　　者：张碧霞[1] 

机构地区：[1]福州大学数学系,福建福州350002

出　　处：《福州大学学报（自然科学版）》2003年第1期9-12,共4页Journal of Fuzhou University(Natural Science Edition)

摘　　要：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.

关 键 词：非线性方程 非零解 固有元 BANACH空间 集值凝聚方程 fp-同伦方法 边界条件 

分 类 号：O175.15[理学—数学] O241.81[理学—基础数学]