Multi-valued superpositions

Appell, Jürgen; Thái, Nguyêñ Hôǹg; De Pascale, Espedito; Zabreĭko, Petr P.

Książka - szczegóły

Tytuł książki

Multi-valued superpositions

Autorzy

Jürgen Appell Nguyêñ Hôǹg Thái Espedito De Pascale Petr P. Zabreĭko

Seria

Rozprawy Matematyczne tom/nr w serii: 345 wydano: 1995

Zawartość

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Warianty tytułu

Abstrakty

EN

CONTENTS

Introduction.......................................................................................................... 5
1. Multifunctions and selections............................................................................... 7
1. Multifunctions and selections.................................................................. 7
2. Continuous multifunctions and selections........................................... 9
3. Measurable multifunctions and selections............................................ 16
2. Multifunctions of two variables............................................................................... 19
4. Carathéodory multifunctions and selections......................................... 19
5. The Scorza Dragoni property..................................................................... 25
6. Implicit function theorems......................................................................... 32
3. The superposition operator................................................................................... 33
7. The superposition operator in the space S........................................... 34
8. The superposition operator in ideal spaces......................................... 39
9. The superposition operator in the space C........................................... 47
4. Closures and convexifications.............................................................................. 49
10. Strong closures........................................................................................ 49
11. Convexifications....................................................................................... 52
12. Weak closures.......................................................................................... 56
5. Fixed points and integral inclusions..................................................................... 59
13. Fixed point theorems for multi-valued operators................................ 60
14. Hammerstein integral inclusions........................................................ 63
15. A reduction method................................................................................... 68
6. Applications............................................................................................................... 72
16. Applications to elliptic systems.............................................................. 72
17. Applications to nonlinear oscillations................................................. 75
18. Applications to relay problems.............................................................. 78
References.................................................................................................................... 81
Index of symbols........................................................................................................... 93
Index of terms................................................................................................................ 95

Słowa kluczowe

multi-valued map superposition operator continuous selection measurable selection Carathéodory condition Scorza Dragoni condition function space fixed point principle Hammerstein inclusion mechanical system nonlinear oscillation relay problem

Tematy

Kategoryzacja MSC:

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 345

Liczba stron

97

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCCXLV

Daty

wydano

1995

otrzymano

1994-08-16

poprawiono

1994-12-05

Twórcy

autor

Jürgen Appell

Mathematisches Institut, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany

autor

Nguyêñ Hôǹg Thái

Instytut Matematyki, Uniwersytet Szczeciński, ul. Wielkopolska 15, PL-70-451 Szczecin, Poland

autor

Espedito De Pascale

Dipartimento di Matematica, Università della Calabria, I-87036 Arcavacata di Rende (CS), Italy

autor

Petr P. Zabreĭko

Matematicheskiĭ Fakul'tet, Belorusskiĭ Gosudarstvennyĭ Universitet, Pl. Nezavisimosti, BR-220050 Minsk, Belarus

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