Higher Order Boundary Value Problems On Unbounded Domains: Types Of Solutions, Functional Problems And Applications

This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line (Sturm–Liouville and Lidstone types, impulsive, functional and problems defined by Hammerstein integral equations). It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators.
The reader will find a selection of original and recent results in this field, conditions to obtain solutions with particular qualitative properties, such as homoclinic and heteroclinic solutions and its relation with the solutions of Lidstone problems on all the real line.
Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases.
The last part features some higher order functional problems, which generalize the classical two-point or multi-point boundary conditions, to more comprehensive data where an overall behavior of the unknown functions and their derivatives is involved.

Product details

• Authors: Minhos Feliz Manuel Et Al, Hugo Alexandre Sacristao Carrasco, Feliz Manuel Minhos
• Publisher: World Scientific Publishing
• Languages: English
• Product format: Hardback
• Released: 31.10.2017
• EAN: 9789813209909
• ISBN: 978-981-3209-90-9
• Series: Trends in Abstract and Applied; Trends in Abstract and Applied; Trends in Abstract and Applied Analysis
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Differential Equations / Ordinary, Differential calculus & equations, Differential calculus and equations