QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (II): OSCILLATION CRITERIA FOR DIRECT CONTROL SYSTEMS IN SEVERAL VARIABLES
Main Article Content
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.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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.