The existence of a fundamental solution of power growth for systems of difference equations

A. Ya. Belyankov

Moscow Engineering Physics Institute

Abstract: It is proved that any nondegenerate system of difference equations of finite order with constant coefficients has a fundamental solution, increasing not faster then some power of the distance from the origin. A proof is obtained by the reduction to a known similar result for the case of one equation.

UDC: 517.9

Received: 08.04.1975

 English version: Mathematical Notes, 1975, 18:5, 1025–1026

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