| BOUNDS FOR SOLUTIONS OF A THREE-POINT PARTIAL DIFFERENCE EQUATION |
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| 引用本文： | 林宜中,郑穗生. BOUNDS FOR SOLUTIONS OF A THREE-POINT PARTIAL DIFFERENCE EQUATION[J]. 数学物理学报(B辑英文版), 1998, 0(1) |
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| 作者姓名： | 林宜中 郑穗生 |
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| 作者单位： | Lin Yizhong (Department of Mathematics，Fujian Normal University，Fuzhon 350007，China)Suisun Cheng(Department of Mathematics，Tsing Hua Univeristy，Hsinchu，Taiwan 30043，China) |
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| 摘 要： | 1IntroductionConsideraninitial-boundaryproblellll']oftileforulBylreansoftheforwardilltime-forwal'dillspacefillitedifferellcel-lletllodforcalculatillganapproximatesolutiollIL(nh,jk)=ALeofthisproblelll,weareledtotilefollowingdifferenceschemeoftheformwilerss=k/h.Suchallequationisaparticularcaseoftilefollowillggelleralpartialdifl'erellcewhere{hij},{oil}and{fti}arerealdollblesequellcesdefilledfori,j20.Itisclearthatiftilearegiven,thenwecancalculate'I[lo;till,liZ,o;u129'u21,'u3o;''successivelyill…
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BOUNDS FOR SOLUTIONS OF A THREE-POINT PARTIAL DIFFERENCE EQUATION |
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| Lin Yizhong. BOUNDS FOR SOLUTIONS OF A THREE-POINT PARTIAL DIFFERENCE EQUATION[J]. Acta Mathematica Scientia, 1998, 0(1) |
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| Authors: | Lin Yizhong |
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| Abstract: | This paper is concerned with a class of partial difference equations with variablecoefficients. Explicit growth bounds are found for their solutions. These bounds provideinformation on the existence of exponentially bounded solutions. |
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| Keywords: | partial difference equations subexponential solutions |
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