Frequent oscillation in a nonlinear partial difference equation
Open Mathematics (2007)
- Volume: 5, Issue: 3, page 607-618
- ISSN: 2391-5455
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topJun Yang, Yu Zhang, and Sui Cheng. "Frequent oscillation in a nonlinear partial difference equation." Open Mathematics 5.3 (2007): 607-618. <http://eudml.org/doc/269536>.
@article{JunYang2007,
abstract = {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.},
author = {Jun Yang, Yu Zhang, Sui Cheng},
journal = {Open Mathematics},
keywords = {partial difference equations; frequency measures; frequently oscillatory solution; unsaturated solution; oscillatory and periodic solutions},
language = {eng},
number = {3},
pages = {607-618},
title = {Frequent oscillation in a nonlinear partial difference equation},
url = {http://eudml.org/doc/269536},
volume = {5},
year = {2007},
}
TY - JOUR
AU - Jun Yang
AU - Yu Zhang
AU - Sui Cheng
TI - Frequent oscillation in a nonlinear partial difference equation
JO - Open Mathematics
PY - 2007
VL - 5
IS - 3
SP - 607
EP - 618
AB - 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.
LA - eng
KW - partial difference equations; frequency measures; frequently oscillatory solution; unsaturated solution; oscillatory and periodic solutions
UR - http://eudml.org/doc/269536
ER -
References
top- [1] B.G. Zhang and Q.J. Xing: “Oscillation of certain partial difference equations”, J. Math. Anal. Appl., to appear. Zbl1115.39018
- [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 Zbl0933.39024
- [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. Zbl1119.39013
- [6] Z.Q. Zhu and S.S. Cheng: “Unsaturated solutions for partial difference equations with forcing terms”, Cent. Eur. J. Math., to appear. Zbl1118.39006
- [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 Zbl0044.03603
- [10] C.J. Tian and S.S. Cheng: “Frequent convergence and applications”, Dyn. Cont. Dis. Ser. A, Vol. 13, (2006), pp. 653–668. Zbl1116.26001
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