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1997 SUBEXPONENTIAL SOLUTIONS OF TWO PARTIAL DIFFERENCE EQUATIONS WITH DELAYS
Yi-Zhong Lin, Sui Sun Cheng
Taiwanese J. Math. 1(2): 181-194 (1997). DOI: 10.11650/twjm/1500405236

Abstract

It is well known that solutions of linear difference equations with constant coefficients are exponentially bounded. Similar statements, however, are not valid for solutions of partial difference equations. In this paper, we consider two linear partial difference equations and obtain sufficient conditions for their solutions to be exponentially bounded.

Citation

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Yi-Zhong Lin. Sui Sun Cheng. "SUBEXPONENTIAL SOLUTIONS OF TWO PARTIAL DIFFERENCE EQUATIONS WITH DELAYS." Taiwanese J. Math. 1 (2) 181 - 194, 1997. https://doi.org/10.11650/twjm/1500405236

Information

Published: 1997
First available in Project Euclid: 18 July 2017

zbMATH: 0884.39007
MathSciNet: MR1452095
Digital Object Identifier: 10.11650/twjm/1500405236

Subjects:
Primary: 39A10

Keywords: Delay , partial difference equation , subexponential solution

Rights: Copyright © 1997 The Mathematical Society of the Republic of China

Vol.1 • No. 2 • 1997
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