QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (II): OSCILLATION CRITERIA FOR DIRECT CONTROL SYSTEMS IN SEVERAL VARIABLES

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Published: Mar 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4380
Keywords:
Direct control systems partial difference equations oscillation

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SUI SUN CHENG
Department of Mathematics, Tsing Hau University, Hsinchu, Taiwan, 30043.
SHENG-LI XIE
Department of Mathematics, Jinzhou Teacher's College, Hubei, China 434100.
BING-GEN ZHANG
Department of Applied Mathematics, Ocean University of Qingdao, China, 266003.

Abstract




This paper is concerned with several direct control systems which are described by partial difference equations. By means of an averaging technique and several oscillation criteria for ordinary recurrence relations, we are able to establish several oscillation criteria for these control systems.




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How to Cite
CHENG, S. S., XIE, S.-L., & ZHANG, B.-G. (1995). QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (II): OSCILLATION CRITERIA FOR DIRECT CONTROL SYSTEMS IN SEVERAL VARIABLES. Tamkang Journal of Mathematics, 26(1), 65–79. https://doi.org/10.5556/j.tkjm.26.1995.4380
Issue
Vol. 26 No. 1 (1995)
Section
Papers
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References

S. S. Cheng, "A discrete analogue of the inequality of Lyapunov," Hokkaido Math. 1., 12, 105-112.

D. D. Bainov and D. P. Mishev, Oscillation Theory for Neutral Differential Equatins with Delay, Adam Hilger, 1991.

I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations, Clarendon Press, Ox­ford, 1991.

S. S. Cheng and B. G. Zhang, "Qualitative theory of partial difference equations (I): Oscillation of nonlinear partial difference equations," Tamkang J. Math., 25 (1994), 279-288.

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