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Existence of Bounded Solutions of Retarded Functional Differential Equations
Author(s) -
Diblík Josef
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200106)226:1<49::aid-mana49>3.0.co;2-1
Subject(s) - mathematics , bounded function , interval (graph theory) , differential equation , graph , order (exchange) , mathematical analysis , pure mathematics , discrete mathematics , combinatorics , finance , economics
This article is devoted to questions about existence of solutions of systems of retarded functional differential equations $\dot y (t) = f(t, y_t)$ with a graph remaining on its right maximal interval of existence in some open region. A topological technique of ( n , p , z ) — subsets for investigation of these questions is developed. An application concerning existence of bounded solutions of an equations of second order is given.