摘要
本文主要利用非线性分析中的隐函数存在定理,讨论了一般非线性算子当线性化部分是满射时的分歧问题。得到一个新的分歧定理,并得到其推广形式,文章最后叙述了我们定理的应用并提出几个开问题。
A special bilurcation problem about a nonlinear operator is discussed by means of the implicit function existence theorem, in which the linearized portion is from Banach space,Xonto Eanach space Y.And a new bifurcation theorem is obtained, along with it, its application forms. Finally, several open problems are also presented.
出处
《信阳师范学院学报(自然科学版)》
CAS
1990年第4期314-317,共4页
Journal of Xinyang Normal University(Natural Science Edition)