TITLE

Generalized Solutions of Functional Differential Inclusions

AUTHOR(S)
Machina, Anna; Bulgakov, Aleksander; Grigorenko, Anna
PUB. DATE
January 2008
SOURCE
Abstract & Applied Analysis;2008, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider the initial value problem for a functional differential inclusion with a Volterra multi-valued mapping that is not necessarily decomposable in L1n [a, b]. The concept of the decomposable hull of a set is introduced. Using this concept, we define a generalized solution of such a problem and study its properties. We have proven that standard results on local existence and continuation of a generalized solution remain true. The question on the estimation of a generalized solution with respect to a given absolutely continuous function is studied. The density principle is proven for the generalized solutions. Asymptotic properties of the set of generalized approximate solutions are studied.
ACCESSION #
36264821

 

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