Sextets and Other Encounters

Program listing performers and works performe

Master\u27s Recital

List of performers and performances

Intertwining Laplace Transformations of Linear Partial Differential Equations

We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in R^n. Practically all previously proposed differential transformations of LPDOs are particular cases of this transformation (intertwining Laplace transformation, ILT). We give a complete algorithm of construction of ILT and describe the classes of operators in R^n suitable for this transformation. Keywords: Integration of linear partial differential equations, Laplace transformation, differential transformationComment: LaTeX, 25 pages v2: minor misprints correcte

Spanning trees with small degrees and few leaves

We give an Ore-type condition sufficient for a graph G to have a spanning tree with small degrees and with few leaves.Comment: Accepted for publication in Applied Mathematics Letter