On the Explicit Solution of Simultaneous Linear Difference Equations with Constant Coefficients

Autor:	B. Z. Linfield
Rok vydání:	1940
Předmět:	Physics Constant coefficients Independent equation Simultaneous equations General Mathematics Scalar (mathematics) Coefficient matrix Linear equation Mathematical physics
Zdroj:	The American Mathematical Monthly. 47:552
ISSN:	0002-9890
DOI:	10.2307/2303837
Popis:	A -rI A-rI\2t(2) X-(l +mr)L _ 1 + r r1+ 2! +F? +A rI m-1 t0n-l 1 1+r J (91)!2 is a solution of the set of simultaneous difference equations with constant coefficients AX--X(t + 1) -X(t) -AX} where-in either case-the scalar polynomial det(A -tI) has a factor t -r of multiplicity m, and C is any matrix satisfying (A -rI)mC=0. More generally, there is no difficulty in writing down the solution of X(t + h) X(t)
Databáze:	OpenAIRE
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