Degree Theory for Discontinuous Operators [electronic resource] : Applications to Discontinuous Differential Equations / by Rubén Figueroa Sestelo, Rodrigo López Pouso, Jorge Rodríguez López.

9783030816049

1st ed. 2021.

Cham : Springer International Publishing : Imprint: Springer, 2021.

1 online resource (VIII, 190 p.) 9 illus. in color.

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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 Schauder's. 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.

Springer ENIN.

Books / Online

English

September 22, 2021