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Explicit bounds for third-order difference equations

Published online by Cambridge University Press:  17 February 2009

Kenneth S. Berenhaut ,
Eva G. Goedhart  and
Stevo Stević
Kenneth S. Berenhaut
Affiliation:
Wake Forest University, Department of Mathematics, Winston-Salem, NC 27109, USA: e-mail: berenhks@wfu.edu.
Eva G. Goedhart
Affiliation:
Wake Forest University, Department of Mathematics, Winston-Salem, NC 27109, USA: e-mail: berenhks@wfu.edu.
Stevo Stević
Affiliation:
Mathematical Institute of Serbian Academy of Science, Knez Mihailova 35/I 11000 Beograd, Serbia: e-mail: sstevic@ptt.yu and sstevo@matf.bg.ac.yu.
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Abstract

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This paper gives explicit, applicable bounds for solutions of a wide class of third-order difference equations with nonconstant coefficients. The techniques used are readily adaptable for higher-order equations. The results extend recent work of the authors for second-order equations.

Keywords

explicit boundsapplicable boundsthird-order linear difference equationsgrowth ratesnonconstant coefficients.
Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 3 , January 2006 , pp. 359 - 366
Copyright
Copyright © Australian Mathematical Society 2006

References

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