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Comparison and linearized oscillation theorems for a nonlinear partial difference equation

Published online by Cambridge University Press:  17 February 2009

B. G. Zhang  and
Jian-She Yu
B. G. Zhang
Affiliation:
Department of Mathematics, Ocean University of Qingdao, Qingdao 266003, P. R. China. E-mail: bgzhang@public.gd.sd.cn
Jian-She Yu
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, P. R. China
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Abstract

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Connections between a linear partial difference equation with constant coefficients and a nonlinear partial difference equation are established by means of a comparison theorem and a continuous dependence of parameters theorem. A linearized oscillation theorem is also established as an application.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 4 , April 2001 , pp. 552 - 560
Copyright
Copyright © Australian Mathematical Society 2001

References

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