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• # Artykuł - szczegóły

## Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1995 | 15 | 2 | 213-219

## Necessary and sufficient conditions for oscillations of delay partial difference equations

EN

### Abstrakty

EN
This paper is concerned with the delay partial difference equation
(1) $A_{m+1,n}+A_{m,n+1}-A_{m,n} + Σ_{i=1}^u p_i A_{m-k_i, n-l_i} = 0$
where $p_i$ are real numbers, $k_i$ and $l_i$ are nonnegative integers, u is a positive integer. Sufficient and necessary conditions for all solutions of (1) to be oscillatory are obtained.

EN

213-219

wydano
1995

### Twórcy

autor
• Department of Applied Mathematics Ocean University of Qingdao, Qingdao 266003, China
autor
• Department of Mathematics Binzhou Normal College, Binzhou, Shandong, 256604, China

### Bibliografia

• [1] S.S. Cheng, B.G. Zhang, Qualitative theory of partial difference equations (I): Oscillation of nonlinear partial difference equations, Tamkang J. Math. 25 (3) (1994), 279-288.
• [2] B.G. Zhang, S.T. Liu, S.S. Cheng, Oscillation of a class of delay partial difference equations, J. Difference Equations and its Applications, 1 (1995), 215-226.
• [3] Li Xiang-ping, Partial difference equations used in the study of molecular orbits, Acta Chimica SINICA, 40 (8) (1982), 688-698.
• [4] W.G. Kelley, A.C. Peterson, Difference Equations, Academic Press, Inc., New York 1991.