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二阶差分系统正解的存在性 被引量：1

EXISTENCE OF POSITIVE SOLUTIONS FOR SECOND ORDER DIFFERENCE SYSTEM
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摘要 依据 Leray- Schauder型非线性抉择对差分系统　　　　　　Δ2 u( k) + f ( k,v( k) ) =0　　　 k∈ [0 ,T]Δ2 v( k) + g( k,u( k) ) =0　　　 k∈ [0 ,T]u( 0 ) =u( T+ 2 ) =0 =v( 0 ) =v( T+ 2 )给出了一个存在性定理 。 By using a nonlinear alternative of Leray-Schauder type,the existence of a pair of nonnegative functions to the following coupled difference system of boundary value problems Δ 2u(k)+f(k,v(k))=0\ \ \ k∈ Δ 2v(k)+g(k,u(k))=0\ \ \ k∈ u(0)=u(T+2)=0=v(0)=v(T+2) is established.
作者 孙建平 赵亚红
机构地区 甘肃工业大学基础科学系
出处 《甘肃科学学报》 2001年第3期7-10,共4页 Journal of Gansu Sciences
关键词 差分系统 正解 存在性 不动点 差分方程 Leray-Schauder型非线性抉择 difference system positive solution existence nonlinear alternative fixed-point
分类号 O241.3 [理学—计算数学]
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参考文献9

  • 1[1]Agarwal R P and Lalli B S. Discrete polynomial lnterpolation, Green′s functions, Maximum principles, Error bounds and Boundary value value problems[J]. Computers Math Appl, 1993, 25(8):3～39
  • 2[2]Agarwal R P and Wong F H. Existence of positive solutions for higher order difference equations[J]. Appl Math Lett,1997, 10(5) :67～74
  • 3[3]Agarwal R P. Difference Equations and Inequalities[M]. Marcel Dekker, New York, 1992. 1～160
  • 4[4]Henderson J. Singular boundary value problems for difference equations[J]. Dynamic Systems and Applications, 1992, 6(1) : 271～282
  • 5[5]Wong P J Y and Agarwal R P. On the existence of solutions of singular boundary value problemsfor higher order difference equations[J]. Nonlinear Analysis, 1997, 28(2):277～287
  • 6[6]Agarwal R P and D O＇R egan. A coup1ed system of boundary value problems[J]. Applicable Analysis, 1998, 69(3～4):381～385
  • 7[7]Regan D O. Existence theory for nonlinear ordinary differential equations[M]. Kluwer Academic Publiahers, Dordrecht,1997.1～18
  • 8[8]Granas A, Guenther R B and Lee J W. Some gcneral existence prindples in ~e Caratheodory theory of nonlinear systems
  • 9[9]. Jour Math Pures Appl, 1991, 70:153～196

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  • 3ZHANG Y N,JIANG D C,WANG J.A recurrent neuralnetwork for solving sylvester equation with time-varyingcoefficients[J].IEEE Transactions on Neural Networks,2002,13(5):1053-1063.
  • 4ZHANG Y N,GE S S.Design and analysis of a generalrecurrent neural network model for time-varying matrix in-version[J].IEEE Transactions on Neural Networks,2005,16(6):1477-1490.
  • 5ZHANG Y N,CHEN K.Comparison on Zhang neuralnetwork and gradient neural network for time-varying line-ar matrix equation AXB=C Solving[C] ∥Proceedingsof International Conference on Industrial TechnologyChengdu,China,2008.
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  • 7LI J P.General explicit difference formulas for numericaldifferentiation[J].Journal of Computational and AppliedMathematics,2005,183:29-52.
  • 8KHAN I R,OHBA R,HOZUMI N.Mathematical proof ofclosed form expressions for finite difference approxima-tions based on taylor series[J].Journal of Computationaland Applied Mathematics,2003,150:303-309.
  • 9JOHN H M,KURTIS D F.数值方法(MATLAB版)[M].周璐,陈渝,钱方,等译.4版.北京:电子工业出版社,2009.
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引证文献1

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甘肃科学学报
2001年 第3期

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