Loewy Decomposition of Linear Differential Equations e-bog
875,33 DKK
(inkl. moms 1094,16 DKK)
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available ...
E-bog
875,33 DKK
Forlag
Springer
Udgivet
28 september 2012
Genrer
PBKJ
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9783709112861
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.