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inv lvea journal of mathematics mathematical sciences publishers
 

Summary: inv lvea journal of mathematics
mathematical sciences publishers
2009 Vol. 2, No. 1
Oscillation criteria for two-dimensional systems of
first-order linear dynamic equations on time scales
Douglas R. Anderson and William R. Hall
INVOLVE 2:1(2009)
Oscillation criteria for two-dimensional systems of
first-order linear dynamic equations on time scales
Douglas R. Anderson and William R. Hall
(Communicated by John V. Baxley)
Oscillation criteria for two-dimensional difference systems of first-order linear
difference equations are generalized and extended to arbitrary dynamic equa-
tions on time scales. This unifies under one theory corresponding results from
differential systems, and includes second-order self-adjoint differential, differ-
ence, and q-difference equations within its scope. Examples are given illustrat-
ing a key theorem.
1. Prelude
Jiang and Tang [2007] have established sufficient conditions for the oscillation of
the linear two-dimensional difference system

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics