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Higher Order Boundary Value Problems On Unbounded Domains: Types Of Solutions, Functional Problems And Applications
Feliz Manuel MinhosHugo Alexandre Sacristao Carrasco
出版World Scientific, 2017-08-23
主題Mathematics / Differential Equations / OrdinaryMathematics / Mathematical AnalysisMathematics / Differential Equations / General
ISBN98132200749789813220072
URLhttp://books.google.com.hk/books?id=JRM0DwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.