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Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics) book cover by Guglielmo Feltrin
Paperback

Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics)

by Guglielmo Feltrin

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Total $1,319.75

Paperback · 304 pages Springer International Publishing · 2018

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About the book

Positive Solutions to Indefinite Problems

This book is devoted to the study of positive solutions to indefinite problems. The monograph intelligibly provides an extensive overview of topological methods and introduces new ideas and results. Sticking to the one-dimensional setting, the author shows that compelling and substantial research can be obtained and presented in a penetrable way.

In particular, the book focuses on second order nonlinear differential equations. It analyzes the Dirichlet, Neumann and periodic boundary value problems associated with the equation and provides existence, nonexistence and multiplicity results for positive solutions. The author proposes a new approach based on topological degree theory that allows him to answer some open questions and solve a conjecture about the dependence of the number of positive solutions on the nodal behaviour of the nonlinear term of the equation. The new technique developed in the book gives, as a byproduct, infinitely many subharmonic solutions and globally defined positive solutions with chaotic behaviour. Furthermore, some future directions for research, open questions and interesting, unexplored topics of investigation are proposed.


Details

Publisher
Springer International Publishing
Author
Guglielmo Feltrin
Format
Paperback
Published
Dec 5, 2018
ISBN-13
9783319942377
Pages
304
Printing
Printed on demand
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CopiesPrice per copyYou save
25 – 49 $52.79 12% off list
50 – 99 $52.19 13% off list
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