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OverviewThis monograph covers the existing results regarding Green’s functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green’s functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties. Obtaining a Green’s function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles. Full Product DetailsAuthor: Alberto Cabada , F. Adrián F. TojoPublisher: Atlantis Press (Zeger Karssen) Imprint: Atlantis Press (Zeger Karssen) Edition: 2015 ed. Volume: 2 Dimensions: Width: 15.50cm , Height: 0.90cm , Length: 23.50cm Weight: 2.642kg ISBN: 9789462391208ISBN 10: 9462391203 Pages: 154 Publication Date: 15 January 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsInvolutions and differential equations.- General results for differential equations with involutions.- Order one problems with constant coefficients.- The non-constant case.- General linear equations.- A cone approximation to a problem with reflection.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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