| EXPONENTIAL STABILITY OF A PARTIAL DIFFERENCE EQUATION WITH NONLINEAR PERTURBATION |
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| 作者姓名： | 郑穗生 林宜中 |
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| 作者单位： | CHENG SUI-SUN (Department of Mathematics，Tsing Hua University，Hsinchu 30043，Chinese Taiwan) LIN YIZHONG (Department of Mathematics，Fujian Normal University，Fuzhou 350007，China) |
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| 摘 要： | 1.IntroductionPartialdifferenceequationshaveappearedinmanybranchesofmathematics.Indeed,LagrangeandLaplacehavediscussedsuchequationsinrelationtoprobability1],Couralltetal.z]haveconsideredtheminrelationtodifferentialequationsofmathematicalphysics.Inrecenty6ars,signalandimageprocessingtheory(seee.g.3])alsomakesuseofthetheoryofpartialdchrenceequations.OscillationtheoryfortheseeqllationshasbeeninvestigatedbyanUmberofauthorsrecelltly4].However,asystematicinvestigationofthestabilitytheoryofpart…
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| 收稿时间： | 10 October 1996 |
Exponential stability of a partial difference equation with nonlinear perturbation |
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| Cheng Sui-Sun,Lin Yizhong.EXPONENTIAL STABILITY OF A PARTIAL DIFFERENCE EQUATION WITH NONLINEAR PERTURBATION[J].Acta Mathematicae Applicatae Sinica,1999,15(1):98-108. |
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| Authors: | Cheng Sui-Sun Lin Yizhong |
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| Institution: | (1) Department of Mathematics, Tsing Hua University, 30043 Hsinchu, Chinese Taiwan;(2) Department of Mathematics, Fujian Normal University, 350007 Fuzhou, China |
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| Abstract: | Stability criteria are established for partial difference equations with nonlinear pertubations. |
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| Keywords: | Partial difference equation stability criteria exponential stability |
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