1) Krasnoselskii type fixed point theorem
Krasnoselskii型不动点定理
2) Krasnoselskii fixed point theorem
Krasnoselskii不动点定理
1.
By using Krasnoselskii fixed point theorem of cone map,some existence and multiplicity result of periodic solutions are obtained.
用Krasnoselskii不动点定理研究了变系数二阶奇异非线性常微分方程u″(t)+a(t)u(t)=f(t,u(t)),在更一般的条件下获得了该微分方程的正ω-周期解的存在性和多重性结果。
2.
By using Krasnoselskii fixed point theorem,we studied the existence of multiple positive periodic solutions for a class of functional differential equations with impulses.
利用Krasnoselskii不动点定理,讨论一类带参数的泛函脉冲微分方程多个周期正解存在的充分条件,在f(x)和Ik(x)均为非超线性和非次线性的条件下,得到该类微分方程多个周期正解存在的一些新结果。
3.
The paper is concerned with the existence of positive and multi-positive solutions for a nonlinear second order three-point boundary value problems of differential equation at resonance by using Krasnoselskii fixed point theorem.
最后，利用Krasnoselskii不动点定理在f满足一定增长性条件下获得了正解以及多个正解8的存在性定理。
3) Krasnoselskii fixed point theorem
Krasnoselskii锥不动点定理
1.
Sufficient conditions are established for the multiplicity of positive solutions of this problem by using Krasnoselskii fixed point theorem in cones.
通过应用Krasnoselskii锥不动点定理,建立了该问题存在多个正解的充分条件,推广并丰富了以往文献的一些结论。
4) Krasnoselskii's fixed point theorem
Krasnoselskii不动点定理
5) Kras-noselskii's fixed point theorem
Krasnoselskii S不动点定理
6) Guo-Krasnoselskii fixed point theorem
Cuo-Krasnoselskii不动点定理
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