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035   $a(EBL)887131
035   $a(OCoLC)784886949
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035   $a(DE-B1597)9783110253399
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100   $a20110901d2012      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aGreen's functions $econstruction and applications /$fYuri A. Melnikov, Max Y. Melnikov
205   $a1st ed.
210   $aBerlin ;$aBoston $cDe Gruyter$dc2012
215   $a1 online resource (448 p.)
225 1 $aDe Gruyter studies in mathematics,$x0179-0986 ;$v42
300   $aDescription based upon print version of record.
311   $a3-11-025302-X 
320   $aIncludes bibliographical references and index.
327   $aGreen's functions for ODE -- Laplace equation -- Static Klein-Gordon equation -- Higher order equations -- Multi point-posed problems -- PDE matrices of Green's type -- Diffusion equation -- Black-Scholes equation.
330   $aGreen's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions, includes all the standard Green's functions and many novel ones, and provides innovative and new approaches that might lead to Green's functions. The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.
410  0$aDe Gruyter studies in mathematics ;$v42.
606   $aGreen's functions
610   $aElliptic.
610   $aGreen's Function.
610   $aParabolic.
610   $aPartial Differential Equation.
615  0$aGreen's functions.
676   $a515/.353
686   $aSK 470$2rvk
700   $aMelnikov$b Yu. A$0480597
701   $aMelnikov$b Max Y$0515975
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910819308103321
996   $aGreen's functions$9853840
997   $aUNINA