Titlebook: Degree Theory for Discontinuous Operators; Applications to Disc Rubén Figueroa Sestelo,Rodrigo López Pouso,Jorge R Book 2021 The Editor(s)

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Die Bev?lkerung in Ost- und Westdeutschlandely. We also obtain multiplicity results for a kind of three point boundary value problem via our extension of Leggett–Williams’ fixed point theorem. Finally, we study the existence and multiplicity of positive solutions for a kind of two point fourth-order problems.

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Book 2021es 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..

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Fixed Point Theorems for Some Discontinuous Operators,ion or expansion conditions only at one boundary of a conical shell instead of imposing conditions on the two boundaries, as in the original result. The second modification of Krasnosel’ski??’s result concerns systems of operator equations and it is due to Precup.

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2509-8888 mature researchers in nonlinear analysis but also for graduate students looking for a quick accessible introduction to degree theory techniques for discontinuous differential equations..978-3-030-81606-3978-3-030-81604-9Series ISSN 2509-8888 Series E-ISSN 2509-8896

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Introduction,in this book and sketching what readers will find in the next chapters. As an illustrative example of some basic ideas to be further generalized later, we study a trivially solvable first order scalar initial value problem depending on a parameter.

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Fixed Point Theorems for Some Discontinuous Operators,alized to different classes of maps and spaces in the literature. In addition, we shall improve on two recent modifications of Krasnosel’ski?? fixed point theorem in cones. The first one is due to Cabada, Cid, Infante and collaborators, who obtained fixed point theorems in cones by imposing compress