Abstract
Abstract
A research scheme for investigating the connectedness of the set of solutions of an inclusion in a topological space is proposed. It is applied to analyze the fixed-point set of a Volterra set-valued map in the space of continuous functions
; conditions for it to be connected in the norm and weak topology of
are obtained. On this basis conditions are found which ensure that the solution set of Hammerstein’s delay integral inclusion is connected.
Bibliography: 14 titles.
Funder
Russian Foundation for Basic Research
Ministry of Education and Science of the Russian Federation
Subject
Algebra and Number Theory
Cited by
2 articles.
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