Positive Solutions to Indefinite Problems A Topological Approach /

• Main Author: Feltrin, Guglielmo (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Frontiers in Mathematics,
• Subjects: Differential equations.; Operator theory.; Ordinary Differential Equations.; Operator Theory.

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 ca...

Table of Contents:

• Introduction
• Part I - Superlinear indefinite problems
• Dirichlet boundary conditions
• More general nonlinearities f(t; s)
• Neumann and periodic conditions: existence results
• Neumann and periodic conditions: multiplicity results
• Subharmonic solutions and symbolic dynamics
• Part II - Super-sublinear indefinite problems
• Existence results
• High multiplicity results
• Subharmonic solutions and symbolic dynamics
• Part III - Appendices
• Leray-Schauder degree for locally compact operators
• Mawhin's coincidence degree
• Maximum principles and a change of variable
• Bibliography.