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Degree theory for discontinuous operators : applications to discontinuous differential equations / Rubén Figueroa Sestelo, Rodrigo López Pouso, Jorge Rodríguez López.

9783030816049 (electronic bk.)
3030816044 (electronic bk.)
9783030816032
3030816036

Cham : Springer, [2021]

©2021

English

1 online resource : color illustrations

10.1007/978-3-030-81604-9 doi

QA371 .F54 2021

515/.35

This unique book contains a generalization of the Leray-Schauder degree theory which applies for wide and meaningful types of discontinuous operators. The discontinuous degree theory introduced in the first section is subsequently used to prove new, applicable, discontinuous versions of many classical fixed-point theorems such as Schauders. Finally, readers will find in this book several applications of those discontinuous fixed-point theorems in the proofs of new existence results for discontinuous differential problems. Written in a clear, expository style, with the inclusion of many examples in each chapter, this book aims to be useful not only as a self-contained reference for mature researchers in nonlinear analysis but also for graduate students looking for a quick accessible introduction to degree theory techniques for discontinuous differential equations.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed October 4, 2021).

RSME Springer series ; volume 6. 2509-8896

Print version: 9783030816032

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