Unsaturated solutions for partial difference equations with forcing terms

• Autorzy: Zhi-Qiang Zhu , Sui Cheng
• Języki publikacji: EN

Abstrakty

EN

The concept of unsaturated infinite double sequence is introduced by making use of frequency measures. Unsaturated solutions are then studied for a partial difference equation. Conditions for all solutions to be unsaturated are obtained. Since unsaturated solutions are oscillatory, our results yield oscillation criteria.

Słowa kluczowe

EN

Partial difference equation; frequency measure; unsaturated solution; oscillation criteria; 39A11

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2006
• Tom: 4
• Numer: 4
• Strony: 656-668

Daty

wydano

2006-12-01

online

2006-12-01

Twórcy

autor

Zhi-Qiang Zhu

• Guangdong Polytechnic Normal University

autor

Sui Cheng

• Tsing Hua University

Bibliografia

• [1] Y.Z. Lin and S.S. Cheng: “Stability criteria for two partial difference equations”, Comput. Math. App., Vol. 32(7), (1996), pp. 87–103. http://dx.doi.org/10.1016/0898-1221(96)00158-7
• [2] Y.Z. Lin and S.S. Cheng: “Bounds for solutions of a three-point partial difference equation”, Acta Math. Sci., Vol. 18(1), (1998), pp. 107–112.
• [3] S.S. Cheng: Partial Difference Equations, Taylor and Francis, 2003.
• [4] C.J. Tian and B.Q. Zhang: “Frequent oscillation of a class of partial difference equations”, J. Anal. Appl., Vol. 18(1), (1999), pp. 111–130.
• [5] S.L. Xie and C.J. Tian: “Frequent oscillatory criteria for partial difference equations with several delays”, Comput. Math. Appl., Vol. 48, (2004), pp. 335–345. http://dx.doi.org/10.1016/j.camwa.2004.06.027

Identyfikatory

DOI

10.2478/s11533-006-0030-9