Frequent oscillation in a nonlinear partial difference equation

• Autorzy: Jun Yang , Yu Zhang , Sui Cheng
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with a class of nonlinear delay partial difference equations with variable coefficients, which may change sign. By making use of frequency measures, some new oscillatory criteria are established. This is the first time oscillation of these partial difference equations is discussed by employing frequency measures.

Słowa kluczowe

EN

partial difference equations; frequency measures; frequently oscillatory solution; unsaturated solution

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 3
• Strony: 607-618

Daty

wydano

2007-09-01

online

2007-09-01

Twórcy

autor

Jun Yang

autor

Yu Zhang

• Yanshan University

autor

Sui Cheng

• Tsing Hua University

Bibliografia

• [1] B.G. Zhang and Q.J. Xing: “Oscillation of certain partial difference equations”, J. Math. Anal. Appl., to appear.
• [2] C.J. Tian, S.L. Xie and S.S. Cheng: “Measures for oscillatory sequences”, Comput. Math. Appl., Vol. 36, (1998), pp. 149–161. http://dx.doi.org/10.1016/S0898-1221(98)80017-5
• [3] S.S. Cheng, Partial Difference Equations, Taylor and Francis, 2003.
• [4] Z.Q. Zhu and S.S. Cheng: “Frequent oscillation in a neutral difference equation”, Southeast Asian Bull. Math., Vol. 29, (2005), pp. 627–634.
• [5] Z.Q. Zhu and S.S. Cheng: “Frequently oscillatory solutions for multi-level partial difference equations”, Int. Math. Forum, Vol. 1, (2006), pp. 1497–1509.
• [6] Z.Q. Zhu and S.S. Cheng: “Unsaturated solutions for partial difference equations with forcing terms”, Cent. Eur. J. Math., to appear.
• [7] E.F. Beckenbach and R. Bellman: Inequalities, Random House, N. Y. Berlin, 1961.
• [8] H. Halberstam and K.F. Roth: Sequences, Springer-Verlag, 1983.
• [9] I. Niven: “The asymptotic density of sequences”, Bull. Amer. Math. Soc., Vol. 57, (1951), pp. 420–434. http://dx.doi.org/10.1090/S0002-9904-1951-09543-9
• [10] C.J. Tian and S.S. Cheng: “Frequent convergence and applications”, Dyn. Cont. Dis. Ser. A, Vol. 13, (2006), pp. 653–668.

Identyfikatory

DOI

10.2478/s11533-007-0017-1