一类新型“增”算子的不动点定理及应用  

The Fixed Point Theorems for a Class of New"Increasing"Operators with Applications

作　　者：颜心力[1] 

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《工程数学学报》2007年第5期939-942,共4页Chinese Journal of Engineering Mathematics

摘　　要：在σ-备线性半序空间和具有正规锥P的实Banach空间,分别讨论其假设条件和论证方法均与以往不同的新型"增"算子,获得多个不动点的存在性定理与存在唯一性定理,并应用于非线性扩散、气体点燃、生化浓缩等领域中非线性特征值问题的求解。On the σ-complete linear semi-order space and real Banach space with a normal cone, a class of new ＂increasing＂ operators are discussed. Our assumptions and demonstration methods are different from the existing ones. Many existence theorems and existence and uniqueness theorems of the fixed point are obtained. Furthermore, nonlinear eigenvalue problems in the field of nonlinear spread, light gas, enriched biochemistry can be solved by these theorems.

关 键 词：半序 算子 上(或下)解 不动点 

分 类 号：O175[理学—数学]