| GLOBAL ATTRACTIVITY FOR A CLASS OF NONLINEARDELAY DIFFERENCE EQUATIONS |
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| 引用本文： | 刘玉记. GLOBAL ATTRACTIVITY FOR A CLASS OF NONLINEARDELAY DIFFERENCE EQUATIONS[J]. 应用数学和力学(英文版), 2002, 23(3): 355-362. DOI: 10.1007/BF02438343 |
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| 作者姓名： | 刘玉记 |
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| 作者单位： | LIU Yu-ji (Department of Mathematics，Yueyang Teachers' College，Yueyang，414000，P R China)(Communicated by LIN Zong-shi) |
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| 基金项目： | theScienceFoundationofHunanEducationalCommittee ( 99C2 1 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒｔｈｅｇｌｏｂａｌａｔｔｒａｃｔｉｖｉｔｙｏｆｔｈｅｎｏｎｌｉｎｅａｒｄｅｌａｙｄｉｆｆｅｒｅｎｃｅｅｑｕａｔｉｏｎΔｘｎ+ａｎｘｎ+ｆ(ｎ ,∑0ｓ=-ｋ ｑｓ,ｎｘｓ+ｎ) =0 (ｎ=0 ,1 ,2 ,… ) . ( 1 )ＴｈｅｉｎｉｔｉａｌｖａｌｕｅｏｆＥｑ .( 1 )ｉｓｘｓ =φｓ (ｓ=-ｋ ,-ｋ+ 1 ,… ,-1 ,0 ) . ( 2 )Ｉｎｔｈｅｓｅｑｕｅｌ,ｗｅａｌｗａｙｓｓｕｐｐｏｓｅｔｈａｔＤ1) ａｎ ｉｓａｎｏｎｎｅｇａｔｉｖｅｒｅａｌｓｅｑｕｅｎｃｅ ,0 ≤ａｎ <1ａｎｄｋｉｓａｐｏｓｉｔｉｖｅ…
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| 收稿时间： | 2000-06-07 |
Global attractivity for a class of nonlinear delay difference equations |
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| Liu Yu-ji Associate Professor. Global attractivity for a class of nonlinear delay difference equations[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(3): 355-362. DOI: 10.1007/BF02438343 |
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| Authors: | Liu Yu-ji Associate Professor |
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| Affiliation: | Department of Mathematics, Yueyang Teachers' College, Yueyang, 414000, P R China |
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| Abstract: | The global attractivity of the delay difference equation△xn + anxn + f( n, 0∑λ=-kqs,nxs+n) = 0,which includes the discrete type of many mathematical ecological equations, was discussed.The sufficient conditions that guarantee every solution to converge to zero are obtained.Many known results are improved and generated. |
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| Keywords: | global attractivity nonlinear nonautonomous delay difference equation |
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