Necessary and sufficient conditions for oscillations of delay partial difference equations

• Autorzy: Bing Gen Zhang , Shu Tang Liu
• Języki publikacji: 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.

Słowa kluczowe

EN

partial difference equations; oscillation; characteristic equation

Kategorie tematyczne

• 39A10: Difference equations, additive

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1995
• Tom: 15
• Numer: 2
• Strony: 213-219

Daty

wydano

1995

Twórcy

autor

Bing Gen Zhang

• Department of Applied Mathematics Ocean University of Qingdao, Qingdao 266003, China

autor

Shu Tang Liu

• 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.