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Nonlinear Dynamics and Systems Theory, 9 (3) (2009) 219238 Dominant and Recessive Solutions of Self-Adjoint
 

Summary: Nonlinear Dynamics and Systems Theory, 9 (3) (2009) 219238
Dominant and Recessive Solutions of Self-Adjoint
Matrix Systems on Time Scales
Douglas R. Anderson
Department of Mathematics & Computer Science, Concordia College,
Moorhead, MN 56562 USA
Received: May 31, 2008; Revised: June 17, 2008
Abstract: In this study, linear second-order self-adjoint delta-nabla matrix systems
on time scales are considered with the motivation of extending the analysis of domi-
nant and recessive solutions from the differential and discrete cases to any arbitrary
dynamic equations on time scales. These results emphasize the case when the system
is non-oscillatory.
Keywords: time scales; self-adjoint; matrix equations; second-order; non-
oscillation; linear.
Mathematics Subject Classification (2000): 39A11, 34C10.
1 Introduction
To motivate this study of dominant and recessive solutions, consider the self-adjoint
second-order scalar differential equation
(px
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Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics