Topological methods for differential equations and inclusions / John R. Graef, Johnny Henderson, Abdelghani Ouahab

Von:

Graef, John R, 1942- [VerfasserIn]

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Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Verlag: Boca Raton ; London ; New York : CRC Press, [2019]Beschreibung: 1 Online-RessourceISBN:

9780429822629
9780429822612
9780429446740

Schlagwörter:

Andere physische Formen: 9781138332294. | Erscheint auch als: Topological methods for differential equations and inclusions. Druck-Ausgabe Boca Raton : CRC Press, 2019. xiv, 360 SeitenDDC-Klassifikation:

515/.35

MSC: MSC: *34-02 | 34A08 | 34A60 | 34B05 | 34B10 | 34B15 | 34F05 | 34G25 | 39A05 | 39A12 | 39A50 | 34A37 | 47HxxRVK: RVK: SK 280LOC-Klassifikation:

QA372

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Zusammenfassung: 2 Hausdorff-Pompeiu Metric Topology2.1 Hausdorff continuity; 2.2 Hd-u.s.c, l.s.c., and single-valued u.s.c. and l.s.c. functions; 2.3 Fixed point theorems for multi-valued contractive mappings; 3 Measurable Multifunctions; 3.1 Measurable selection; 3.2 Scalar measurable; 3.2.1 Scalarly measurable selection; 3.3 Lusin's theorem type; 3.4 Hausdorff-measurable multivalued maps; 3.5 The Scorza-Dragoni property; 3.6 Lp selection; 4 Continuous Selection Theorems; 4.1 Partitions of unity; 4.2 Michael's selection theorem; 5 Linear Multivalued Operators; 5.1 Uniform boundedness principleZusammenfassung: 5.2 Norm of linear multivalued operators6 Fixed Point Theorems; 6.1 Approximation methods and fixed point theorems; 6.2 Schauder-Tychonoff fixed point theorem; 6.3 Fan's fixed point theorem; 6.4 Krasnosel'skii-type fixed point theorems; 6.4.1 Krasnosel'skii-type fixed point theorem for weakly-weakly u.s.c; 6.4.2 Krasnosel'skii-type fixed point theorem for u.s.c; 6.4.3 Expansive Krasnosel'skii type fixed point theorem; 6.4.4 Expansive Krasnosel'skii-type fixed point theorem for weakly contin-uous maps; 6.4.5 Expansive Krasnosel'skii-type fixed point theorem for weakly-weakly u.s.cZusammenfassung: 6.4.6 Krasnosel'skii type in a Fréchet space6.4.7 Measure of noncompactness and Krasnosel'skii's theorem; 6.5 Fixed point theorems for sums of two multivalued operators; 6.6 Kakutani fixed point theorem type in topological vector spaces; 6.7 Krasnosel'skii-type fixed point theorem in topological vector spaces; 7 Generalized Metric and Banach Spaces; 7.1 Generalized metric space; 7.2 Generalized Banach space; 7.3 Matrix convergence; 8 Fixed Point Theorems in Vector Metric and Banach Spaces; 8.1 Banach principle theorem; 8.2 Continuation methods for contractive mapsZusammenfassung: 8.3 Perov fixed point type for expansive mapping8.4 Leray-Schauder type theorem; 8.5 Measure of noncompactness; 8.6 Approximation method and Perov type fixed point theorem; 8.7 Covitz and Nadler type fixed point theorems; 8.8 Fixed point index; 8.9 Legggett-Williams type fixed point results; 8.10 Legggett-Williams type fixed point theorems in vector Banach spaces; 8.11 Multiple fixed points; 9 Random Fixed Point Theorems; 9.1 Principle expansive mapping; 9.2 Approximation method and Krasnosel'skii-type fixed point theorems; 9.3 Random fixed point for a Cartesian product of operatorsPPN: PPN: 1040022693Package identifier: Produktsigel: ZDB-4-NLEBK

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