# Unsaturated solutions for partial difference equations with forcing terms

Open Mathematics (2006)

- Volume: 4, Issue: 4, page 656-668
- ISSN: 2391-5455

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topZhi-Qiang Zhu, and Sui Cheng. "Unsaturated solutions for partial difference equations with forcing terms." Open Mathematics 4.4 (2006): 656-668. <http://eudml.org/doc/269607>.

@article{Zhi2006,

abstract = {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.},

author = {Zhi-Qiang Zhu, Sui Cheng},

journal = {Open Mathematics},

keywords = {39A11},

language = {eng},

number = {4},

pages = {656-668},

title = {Unsaturated solutions for partial difference equations with forcing terms},

url = {http://eudml.org/doc/269607},

volume = {4},

year = {2006},

}

TY - JOUR

AU - Zhi-Qiang Zhu

AU - Sui Cheng

TI - Unsaturated solutions for partial difference equations with forcing terms

JO - Open Mathematics

PY - 2006

VL - 4

IS - 4

SP - 656

EP - 668

AB - 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.

LA - eng

KW - 39A11

UR - http://eudml.org/doc/269607

ER -

## References

top- [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. Zbl0909.39002
- [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. Zbl0923.39009
- [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 Zbl1068.39028

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