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	Author	Machina, A.; Bulgakov, A.; Grigorenko, A.
	Title	Generalized solutions of functional differential inclusions			Type	Journal Article
	Year	2008	Publication	Abstract And Applied Analysis	Abbrev Journal	Abstract Appl. Anal.
	Volume		Issue		Pages	35 pp
	Corporate Author				Thesis
	Address	Norwegian Univ Life Sci, Ctr Integrat Genet CIGENE, N-1432 As, Norway, Email: annama@umb.no
	Keywords
	Abstract	We consider the initial value problem for a functional differential inclusion with a Volterra multi-valued mapping that is not necessarily decomposable in L-1(n)[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. Copyright (C) 2008.
	Publisher	Hindawi Publishing Corporation	Place		Editor
	Language	English	Summary Language		Orig Title
	Series Editor		Series Title		Abbrev Series Title
	Series Volume		Series Issue		Edition
	Issn	1085-3375	Isbn		Medium
	Area		Expedition		Conference
	Notes	ISI:000254317100001			Approved	no
	Location	Torfinn Nome (torfinn.nome@umb.no)
	Call Number	Cigene @ torfinn.nome @			Serial	1327
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