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100   $a20160106d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDifferential Equations with Involutions /$fby Alberto Cabada, F. Adrián F. Tojo
205   $a1st ed. 2015.
210  1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2015.
215   $a1 online resource (160 p.)
225 1 $aAtlantis Briefs in Differential Equations,$x2405-6413
300   $aDescription based upon print version of record.
311 08$a94-6239-120-3 
320   $aIncludes bibliographical references and index.
327   $aInvolutions 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.
330   $aThis monograph covers the existing results regarding Green?s functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green?s functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties. Obtaining a Green?s function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.
410  0$aAtlantis Briefs in Differential Equations,$x2405-6413
606   $aDifferential equations
606   $aMathematical physics
606   $aDifferential Equations
606   $aMathematical Methods in Physics
615  0$aDifferential equations.
615  0$aMathematical physics.
615 14$aDifferential Equations.
615 24$aMathematical Methods in Physics.
676   $a510
700   $aCabada$b Alberto$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721715
702   $aF. Tojo$b F. Adrián$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300245003321
996   $aDifferential Equations with Involutions$92544845
997   $aUNINA