Oscillation criteria for two-dimensional systems of first-order linear dynamic equations on time scales

Anderson, Douglas; Hall, William

doi:10.2140/involve.2009.2.1

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Oscillation criteria for two-dimensional systems of first-order linear dynamic equations on time scales

Douglas R. Anderson and William R. Hall

Vol. 2 (2009), No. 1, 1–16

DOI: 10.2140/involve.2009.2.1

Abstract

Oscillation criteria for two-dimensional difference systems of first-order linear difference equations are generalized and extended to arbitrary dynamic equations on time scales. This unifies under one theory corresponding results from differential systems, and includes second-order self-adjoint differential, difference, and $q$ -difference equations within its scope. Examples are given illustrating a key theorem.

Keywords

oscillation, linear system, time scales

Mathematical Subject Classification 2000

Primary: 34B10

Secondary: 39A10

Milestones

Received: 30 December 2007

Accepted: 15 October 2008

Published: 18 March 2009

Communicated by John V. Baxley

Authors

Douglas R. Anderson
Department of Mathematics and Computer Science Concordia College 901 South 8th Street Moorhead, MN 56562 United States
http://www.cord.edu/faculty/andersod/
William R. Hall
1624 King Cove Grand Forks, ND 58201 United States

Vol. 2, No. 1, 2009