03587nam 2200673Ia 450 991078581660332120230607231254.03-11-087089-410.1515/9783110870893(CKB)2670000000251251(SSID)ssj0000594915(PQKBManifestationID)11360642(PQKBTitleCode)TC0000594915(PQKBWorkID)10552676(PQKB)11260794(MiAaPQ)EBC3042173(WaSeSS)Ind00009898(DE-B1597)56024(OCoLC)979748143(DE-B1597)9783110870893(Au-PeEL)EBL3042173(CaPaEBR)ebr10598201(OCoLC)922945125(EXLCZ)99267000000025125120010123d2001 uy 0engurcn|||||||||txtccrCondensing multivalued maps and semilinear differential inclusions in Banach spaces[electronic resource] /Mikhail Kamenskii, Valeri Obukhovskii, Pietro ZeccaReprint 2011Berlin ;New York W. de Gruyter2001xi, 231 pDe Gruyter series in nonlinear analysis and applications,0941-813X ;7Bibliographic Level Mode of Issuance: Monograph3-11-016989-4 Includes bibliographical references (p. [213]-228) and index.Front matter --Introduction --Contents --Chapter 1. Multivalued maps: general properties --Chapter 2. Measures of noncompactness and condensing multimaps --Chapter 3. Topological degree theory for condensing multifields --Chapter 4. Semigroups and measures of noncompactness --Chapter 5. Semilinear differential inclusions: initial problem --Chapter 6. Semilinear inclusions: periodic problems --Bibliographic notes --Bibliography --IndexThe 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.De Gruyter series in nonlinear analysis and applications ;7.0941-813XSet-valued mapsDifferential inclusionsBanach spacesSet-valued maps.Differential inclusions.Banach spaces.515.2SK 620rvkKamenskii Mikhail1950-1551050Obukhovskii Valeri1947-479692Zecca P(Pietro)150335MiAaPQMiAaPQMiAaPQBOOK9910785816603321Condensing multivalued maps and semilinear differential inclusions in Banach spaces3810350UNINA