期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:340
Monotonicity properties of the superposition operator and their applications
Article
Banas, Jozef1  Sadarangani, Kishin2 
[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
[2] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain
关键词: superposition operator;    degree of decrease;    measure of noncompactness;    quadratic integral equation;    fixed point theorem;   
DOI  :  10.1016/j.jmaa.2007.10.002
来源: Elsevier
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【 摘 要 】

We establish some properties of the superposition operator which are associated with monotonicity. Those properties are expressed in terms of the notion of degree of decrease or degree of increase. An application of the obtained results to the study of solvability of a quadratic Volterra integral equation is also derived. (C) 2007 Elsevier Inc. All rights reserved.

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