Marina S. Apanovich, Evgeny K. Leinartas, “Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients”, J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 2,Pages <nobr>199

This article is cited in 6 papers

Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients

Marina S. Apanovich^a, Evgeny K. Leinartas^b

^a Krasnoyarsk State Medical University, Partizana Zheleznyaka, 1, Krasnoyarsk, 660022, Russia
^b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: The correctness of Cauchy problem for a polynomial difference operator is studied. An easily verifiable sufficient condition for correctness of a two-dimensional Cauchy problem for an operator with constant coefficients is proved.

Keywords: polynomial difference operator, Cauchy problem, correctness.

UDC: 517.55

Received: 16.11.2016
Received in revised form: 08.02.2017
Accepted: 20.02.2017

Language: English

DOI: 10.17516/1997-1397-2017-10-2-199-205