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一类离散方程存在多个非负解的约束条件

The restraint conditions of multiple solutions for a kind of discrete equations
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摘要 运用LeggettWilliams不定点理论,给出了离散方程存在3个非负解的约束条件. Restraint conditions are developed for the existence of three nonnegative solutions to discrete equations.The strategy involves using the Leggett Williams fixed point theorem.
作者 端木连喜
机构地区 济宁师专数学系
出处 《商丘师范学院学报》 CAS 2004年第5期55-57,共3页 Journal of Shangqiu Normal University
关键词 离散方程 非负解 锥体 凹函数 完全连续 不定点理论.离散拓扑 BANACH空间 discrete equations cone concave function completely continuous fixed point theorem Banach space
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参考文献4

  • 1[2]Leggett R W and Williams L R.Multiple posibive fixed points of nonlinear operators on ordered Banach spaces[J].Indiana Univ.Math.J,1979,28:673-688.
  • 2[3]Agarwal R P and O'Regan D.Multiple solutions for higher order difference equationsm[J].Computm,and Math,Appl,1999,37(9):39-48.
  • 3[4]Agarwal R P,O'Regan D and Wong P J Y.Positive solutions of differential,difference and integral equations[M].Kluwer Acad.Publ,Dordrecth,1999.
  • 4[5]Afarwal R P and O'Regan D.Lindstone continuous and discrete boundary vatue problems[J].Mem,Differential Equations Math,Phys,2000,19:107-125.

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