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Unsaturated solutions for partial difference equations with forcing terms |
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| Authors: | Zhi-Qiang Zhu Sui Sun Cheng |
| Affiliation: | (1) Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, P.R. China;(2) Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043, R.O. China |
| 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. |
| Keywords: | Partial difference equation frequency measure unsaturated solution oscillation criteria |
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