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024 7 $a10.1515/9783110293562
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035   $a(EBL)1075585
035   $a(OCoLC)827212698
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100   $a20130117d2013      uy             0
101 0 $aeng
135   $aurnn#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aSolution sets for differential equations and inclusions$b[electronic resource] /$fSmai?l Djebali, Lech Gorniewicz, Abdelghani Ouahab
210   $aBerlin $cDe Gruyter$dc2013
215   $a1 online resource (474 p.)
225 0 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v18
300   $aDescription based upon print version of record.
311 0 $a3-11-029344-7 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tPreface --$tNotations --$tContents --$tChapter 1. Topological structure of fixed point sets --$tChapter 2. Existence theory for differential equations and inclusions --$tChapter 3. Solution sets for differential equations and inclusions --$tChapter 4. Impulsive differential inclusions: existence and solution sets --$tChapter 5. Preliminary notions of topology and homology --$tChapter 6. Background in multi-valued analysis --$tAppendix --$tReferences --$tIndex
330   $aThis monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail. The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications.
410  3$aDe Gruyter Series in Nonlinear Analysis and Applications
606   $aDifferential equations
606   $aDifferential inclusions
610   $aDifferential Equation.
610   $aDifferential Inclusion.
610   $aFixed Point Sets.
610   $aFunctional Differential Inclusions.
610   $aImpulsive Differential Equation.
610   $aImpulsive Differential Inclusion.
610   $aImpulsive Semilinear Differential Equation.
610   $aImpulsive Semilinear Differential Inclusion.
610   $aMild Solution.
610   $aSemigroup.
610   $aSolution Set.
615  0$aDifferential equations.
615  0$aDifferential inclusions.
676   $a520
686   $aSK 520$2rvk
700   $aDjebali$b Smai?l$01483806
701   $aGo?rniewicz$b Lech$0726786
701   $aOuahab$b Abdelghani$01483807
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910786012803321
996   $aSolution sets for differential equations and inclusions$93702102
997   $aUNINA