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Multi-valued superpositions

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Appell J., Thái N. H., De Pascale E., Zabreĭko P. P.

Instytut Matematyczny Polskiej Akademii Nauk

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

Ograniczanie wyników

1 Appell J.

1 De Pascale E.

1 Thái N. H.

1 Zabreĭko P. P.

1 1995

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Multi-valued superpositions