Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
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.
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
607-618
Opis fizyczny
Daty
wydano
2007-09-01
online
2007-09-01
Twórcy
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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-007-0017-1