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Reduction of Some Differential Equations to Matrix SystemsBy Ice B. Risteski

December 1999

Heron Press

ISBN: 954-580-071-2

84 pages

$68.00 paper original

The author proves the reduction of some well-known linear ordinary differential equations of n-th order with polynomial coefficients to matrix systems of Cauchy and Birkhoff's type by using a new algebraic method. Contents: Simple Reduction of Some Differential Equations to Cauchy Matrix Form. Generalized Reduction of Some Differential Equations to Cauchy Matrix Form. Plemelj's Generators of Groups for some Cauchy Matrix Systems. Reduction of Some Differential Equations to Birkhoff Canonical Matrix Form. Reduction of Appell's System of Partial Differential Equations to a System of Total Differential Equations. Some Open Problems. Bibliography.

Mathematics

Heron Press Math Series