Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 159-162.

Error estimates for asymptotic solutions of dynamic equations on time scales

Gro Hovhannisyan

Abstract:
We establish error estimates for first-order linear systems of equations and linear second-order dynamic equations on time scales by using calculus on a time scales [1,4,5] \cite{a1,b3,b4} and Birkhoff-Levinson's method of asymptotic solutions [3,6,8,9].

Published February 28, 2007.
Math Subject Classifications: 39A10.
Key Words: Time scale; asymptotic representation; error estimates; second order differential equation; first order system.

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Gro R. Hovhannisyan
Kent State University, Stark Campus
6000 Frank Ave. NW
Canton, OH 44720-7599, USA
email: ghovhannisyan@stark.kent.edu

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