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Boundedness and persistence and global asymptotic stability for a class of delay difference equations with higher order

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Abstract

Some sufficient conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained, which partly solve G. Ladas' two open problems and extend some known results.

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Communicated by ZHOU Huan-wen

Foundation items: the Mathematical Tianyuan Foundation of China (TY10026002-01-05-03); the Scientific Investigation Foundation of the Education Committee of Human Province (81-99C146)

Biography: LI Xian-yi (1966-), Associate Professor, Doctor

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Xian-yi, L. Boundedness and persistence and global asymptotic stability for a class of delay difference equations with higher order. Appl Math Mech 23, 1331–1338 (2002). https://doi.org/10.1007/BF02439464

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  • DOI: https://doi.org/10.1007/BF02439464

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