Global invertibility theorems and their applications - a variational approach

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Miniatura

Data

2016

Tytuł czasopisma

ISSN czasopisma

Tytuł tomu

Wydawca

Wydawnictwo Politechnika Łódzka
Lodz University of Technology. Press

Abstrakt

This book is concerned with deriving abstract tools which are applicable in solving integro-differential equations posed in a Banach space setting. Our approach relies on deriving conditions which guarantee that certain mapping acting between two Banach spaces is a diffeomorphim thereby obtaining that if this mapping is a solution operator to some equation then this very equation has a unique solution which in fact is well posed in the sense of Hadamard.(...)

Opis

Słowa kluczowe

przestrzenie Banacha, równania różniczkowe, diffeomorfizmy, Banach spaces, differential equations, diffeomorphim

Cytowanie

Galewski M., Koniorczyk M., Global invertibility theorems and their applications - a variational approach., Wydawnictwo Politechniki Łódzkiej, Łódź 2016, ISBN 978-83-7283-890-2.