THE MONOTONE MINORANT METHOD AND EIGENVALUE PROBLEM FOR MULTIVALUED OPERATORS IN CONES

被引：7
|
作者：
Nguyen Bich Huy [1 ]
Tran Thanh Binh [2 ]
Vo Viet Tri [3 ]
机构：
[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Sai Gon Univ, Dept Math & Applicat, 273 An Duong Vuong, Ho Chi Minh City, Vietnam
[3] Thu Dau Mot Univ, Dept Nat Sci, 6 Tran Van On, Thu Dau Mot 6, Binh Duong Prov, Vietnam
来源：
FIXED POINT THEORY | 2018年 / 19卷 / 01期
关键词：
Cone; positive eigen-pair; fixed point index; monotone minorant; multivalued increasing operator; KREIN-RUTMAN THEOREM; FIXED-POINTS; POSITIVE SOLUTIONS; EQUATIONS; MAPS;
D O I：
10.24193/fpt-ro.2018.1.22
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main aim of this paper is to obtain a general theorem on existence of continuous branch of solutions of equations which depend on a parameter by using the monotone minorant method in conjunction with the theory of fixed point index. As an application, we apply this theorem to prove the existence of a positive eigen-pair of multivalued homogeneous increasing operators. The simplicity and uniqueness of the eigen-pair are also investigated in this paper.
引用
收藏
页码：275 / 285
页数：11
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