| EXPONENTIAL GROWTH AND OSCILLATION OF NONLINEAR HOMOGENEOUS DIFFERENCEEQUATIONS |
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| 作者姓名： | 陈绍著 刘树堂 |
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| 作者单位： | 山东大学!250100(陈绍著)，滨州师范专科学校!256604(刘树堂) |
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| 摘 要： | 1IntroductionConsiderthenonlinearhomogeneousdifferenceequationfwhereashi>0,I--1,'5m,qandrarequotientsofpositiveoddintegers,p20,r=p q,a13',amarepositiveintegerswithal"<'
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EXPONENTIAL GROWTH AND OSCILLATION OF NONLINEAR HOMOGENEOUS DIFFERENCEEQUATIONS |
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| Chen Shaozhu.EXPONENTIAL GROWTH AND OSCILLATION OF NONLINEAR HOMOGENEOUS DIFFERENCEEQUATIONS[J].微分方程年刊(英文版),1997(4). |
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| Authors: | Chen Shaozhu |
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| Institution: | Chen Shaozhu(Shandong University)Liu Shutang (Binzhou Normal College) |
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| Abstract: | For a certain class of nonlinear homogeneous difference equations, it is shown that every nonoscillatory entire solution xn has exponential bounds on Z and that the oscillation is equivalent to the nonexistence of positive real characteristic roots. Explicit conditions for oscillation in terms of coefficients are also obtained. |
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| Keywords: | Exponential growth oscillation homogeneous difference equation |
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