Loewy Decomposition of Linear Differential Equations Rutilius Taurus Aemilianus CONSIDERATIONS AND RECONSIDERATIONS -- II

CONSIDERATIONS AND RECONSIDERATIONS -- II

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Loewy Decomposition of Linear Differential Equations Rutilius Taurus Aemilianus CONSIDERATIONS AND RECONSIDERATIONS -- IIThe 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