2) alternative theorem
抉择定理
1.
A generalization of the alternative theoremin abstract convexity space
抽象凸空间中抉择定理的推广
3) LanraySchauder nonlinear alternative theorem
Leray-Schauder非线性抉择定理
4) existence theory of nonlinear alternative of Leray-Schauder
非线性Leray-Schauder抉择定理
5) nonlinear alternative
非线性抉择
1.
By using a nonlinear alternative of LeraySchauder type, the existence of positive solutions to a secondorder difference system of boundaryvalue problems Δ2u1(k)+f1(k,u1(k),u2(k))=0k∈Δ2u2(k)+f2(k,u1(k),u2(k))=0k∈u1(0)=u1(T+2)=0=u2(0)=u2(T+2)is proved.
依据Leray Schauder型非线性抉择对差分系统Δ2u1(k)+f1(k,u1(k),u2(k))=0 k∈[0,T]Δ2u2(k)+f2(k,u1(k),u2(k))=0 k∈[0,T]u1(0)=u1(T+2)=0=u2(0)=u2(T+2)给出了一个存在性定理。
2.
By using Green function and nonlinear alternative,constructing suitable Banach space and applying the technique of integral equation,an existence theorem was obtained for the problem when the nonlinear term satisfies the conditi.
利用Green函数和非线性抉择,通过构造适当的Banach空间,并且利用积分方程技巧在非线性项满足函数型线性增长的条件下获得了该问题的一个存在定理。
6) Leray-Schauder alternative
Leray-Schauder抉择定理
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