index theorem是什么意思

用法例句

This paper establishes the existence of multiple positive solutions of a class of nonlinear three-point boundary value problems by means of the fixed point index theorem on cones.

利用锥映射的不动点指数定理,建立了一类三点边值问题多个正解的存在性定理。

This paper establishes the existence of multiple positive solutions of a class of singular nonlinear three-point boundary value problems by means of the fixed point index theorem on cones.

利用锥映射的不动点指数定理,建立了一类奇异三点边值问题多个正解的存在性定理。

By using Krasnoselskii fixed-point index theorem, a class of nonlinear functional differential equation x′(t)=a(t)g(x(t))x(t)-λ sum from i=1 to n(f_i(t,x(t-T_i(t)))) is obtained,and at least there are the sufficient conditions to guarantee the existence of two periodic positive solutions, and some corresponding results in existing literatures are expanded.

利用Krasnoselskii不动点指数定理,得到一类带有参数的非线性泛函微分方程x′(t)=a(t)g(x(t))x(t)-λ sum from i=1 to n(f_i(t,x(t-T_i(t)))),至少存在两个周期正解的充分条件,推广了已有文献中的相关结果。