FIXED POINT INDEXES AND ITS APPLICATIONS TO NONLINEAR INTEGRAL EQUATIONS MODELLING INFECTIOUS DISEASES

In this paper the fixed point index problem for a class of positive operators with boundary control conditions is discussed,and some sufficient conditions for the fixed pointindex to be equal to1 or 0 are given.Moreover,a general fixed point theorem of expansions and compressions for cone is obtaine...

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Bibliographic Details
Published in:Applied mathematics and mechanics 1989-05, Vol.10 (5), p.399-406
Main Author: 张石生 边文明
Format: Article
Language:English
Subjects:
applying
assumption
contradiction
convex
hence
infectious
modelling
operators
satisfied
utilize
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Summary:In this paper the fixed point index problem for a class of positive operators with boundary control conditions is discussed,and some sufficient conditions for the fixed pointindex to be equal to1 or 0 are given.Moreover,a general fixed point theorem of expansions and compressions for cone is obtained,which generalizes and improves the corresponding results of[3,8,9].As an application,we utilize the results presented above to study the existence conditions of positive solutions of nonlinear integral equations modelling infectious diseases.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02019229