Banach空间中非线性映象方程多正解的存在性

The existence for multiple positive solutions of nonlinear mapping equations in Banach spaces

论述在某些边界条件下,采用多值映象拟导数的方法,研究Banach空间中严格集压缩集值映象方程多值正解的存在性问题,所得出的结论推广和改进相关结论.

Under some suitable boundary conditions,some existence problems for multiple positive solutions of strict set contractive set-valued mapping equation are studied by using quasi-derivative of multivalued mapping in Banach spaces in this paper.