1) fixed point index theorm
还动点指数定理
2) fixed point index theorem
不动点指数定理
1.
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。
2.
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。
3) fixed-point index theorem
锥上不动点指数定理
4) Krasnoselskii fixed-point index theorem
Krasnoselskii不动点指数定理
1.
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。
5) the cone's fixed point index theorem
锥不动点指数定理
6) fixed point index theorem
不动点指标定理
1.
By using a well-known fixed point index theorem,we obtain the existence,multiplicity and nonexistence of positive periodic solution(s) to this equation.
利用一个著名的不动点指标定理,获得了该方程周期正解的存在性、多重性和不存在性。
补充资料：Borel不动点定理
Borel不动点定理
Borel fixed - point theorem
B吮l不动点定理{B.限l五xe小州nt价e僻m二匆卿，T侧邓吧，f.01”聊叉B“狱班滋n卜.王j 设F为代数闭域kl二非空完全代数簇，正则地作用于犷上的连通可解代数群G(见变换的代数群扭1罗-braic goup of transformat一ons))在卜中有不动点.由这个定理可以推出代数群的B.耽l子群(Borel sub-grouP)是共扼的(Bore卜MOI洲)叉)B定理(Borel一Moro-zov theorem))，不动点定理是A.Borel([lj)证明的.Borel定理可以推广到任意域k(不一定代数封闭卜设F为在域k上定义的完全簇若连通可解k分裂群(人一sPlit grouP)G正则地作用在F上，则有理人点集V(k)或者为空集，或者它包含G的一个不动点.因此推广的Bore]子群共扼性定理是:若域k是完满的，则一个连通人定义的代数群H的极大连通可解北可裂子群，在H的k点构成的群中元素作用下互相共辘(f21)，
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参考词条