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100   $a20010123d2001      uy             0
101 0 $aeng
135   $aurcn|||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aCondensing multivalued maps and semilinear differential inclusions in Banach spaces$b[electronic resource] /$fMikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca
205   $aReprint 2011
210   $aBerlin ;$aNew York $cW. de Gruyter$d2001
215   $axi, 231 p
225 1 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v7
300   $aBibliographic Level Mode of Issuance: Monograph
311 0 $a3-11-016989-4 
320   $aIncludes bibliographical references (p. [213]-228) and index.
327   $tFront matter --$tIntroduction --$tContents --$tChapter 1. Multivalued maps: general properties --$tChapter 2. Measures of noncompactness and condensing multimaps --$tChapter 3. Topological degree theory for condensing multifields --$tChapter 4. Semigroups and measures of noncompactness --$tChapter 5. Semilinear differential inclusions: initial problem --$tChapter 6. Semilinear inclusions: periodic problems --$tBibliographic notes --$tBibliography --$tIndex
330   $aThe theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
410  0$aDe Gruyter series in nonlinear analysis and applications ;$v7.$x0941-813X
606   $aSet-valued maps
606   $aDifferential inclusions
606   $aBanach spaces
615  0$aSet-valued maps.
615  0$aDifferential inclusions.
615  0$aBanach spaces.
676   $a515.2
686   $aSK 620$2rvk
700   $aKamenskii$b Mikhail$f1950-$01551050
701   $aObukhovskii$b Valeri$f1947-$0479692
701   $aZecca$b P$g(Pietro)$0150335
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910785816603321
996   $aCondensing multivalued maps and semilinear differential inclusions in Banach spaces$93810350
997   $aUNINA