CONTENTSIntroduction.......................................................................................................... 51. Multifunctions and selections............................................................................... 7 1. Multifunctions and selections.................................................................. 7 2. Continuous multifunctions and selections........................................... 9 3. Measurable multifunctions and selections............................................ 162. Multifunctions of two variables............................................................................... 19 4. Carathéodory multifunctions and selections......................................... 19 5. The Scorza Dragoni property..................................................................... 25 6. Implicit function theorems......................................................................... 323. 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........................................... 474. Closures and convexifications.............................................................................. 49 10. Strong closures........................................................................................ 49 11. Convexifications....................................................................................... 52 12. Weak closures.......................................................................................... 565. Fixed points and integral inclusions..................................................................... 59 13. Fixed point theorems for multi-valued operators................................ 60 14. Hammerstein integral inclusions........................................................ 63 15. A reduction method................................................................................... 686. Applications............................................................................................................... 72 16. Applications to elliptic systems.............................................................. 72 17. Applications to nonlinear oscillations................................................. 75 18. Applications to relay problems.............................................................. 78References.................................................................................................................... 81Index of symbols........................................................................................................... 93Index of terms................................................................................................................ 95
@book{bwmeta1.element.zamlynska-8f3fd0ac-5c23-46ce-8625-fb44084a0434,
author = {Jurgen Appell and Nguyen Hong Thai and Espedito De Pascale and Petr P. Zabreiko},
title = {Multi-valued superpositions},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1995},
zbl = {0855.47037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-8f3fd0ac-5c23-46ce-8625-fb44084a0434}
}
Jürgen Appell; Nguyêñ Hôǹg Thái; Espedito De Pascale; Petr P. Zabreĭko. Multi-valued superpositions. GDML_Books (1995), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-8f3fd0ac-5c23-46ce-8625-fb44084a0434/