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.
@article{bwmeta1.element.doi-10_2478_s11533-006-0030-9,
author = {Zhi-Qiang Zhu and Sui Cheng},
title = {Unsaturated solutions for partial difference equations with forcing terms},
journal = {Open Mathematics},
volume = {4},
year = {2006},
pages = {656-668},
zbl = {1118.39006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0030-9}
}
Zhi-Qiang Zhu; Sui Cheng. Unsaturated solutions for partial difference equations with forcing terms. Open Mathematics, Tome 4 (2006) pp. 656-668. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0030-9/
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