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一类离散P-Laplacian方程正解的三解定理 被引量：2

A Theorem About Triple Positive Solutions for a Discrete P-Laplacian Equations
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摘要 应用Leggett-Williams不动点定理,研究具有P-LapLacian算子的非线性边值问题,Δφp(Δu(t-1))+a(t)f(u(t))=0,Δu(0)=u(T+2)=0正解的存在性,其中φp(s)=s p-2s,p>1.建立了该问题至少存在3个正解的充分条件. By means of the Leggett-Williams fixed-point theorem in cones, we study the existence of positive solutions for the nonlinear P-Laplacian boundary value problem Δ[φp（Δu（t-1））]＋a（t）f（u（t））=0,Δu（0）=u（T＋2）=0 in which φp（s）=｜s｜^p-2s,p〉1.Sufficient conditions are established so that there exist at least threepositive solutions.
作者 王大斌 关雯
机构地区 兰州理工大学理学院
出处 《甘肃科学学报》 2006年第3期25-27,共3页 Journal of Gansu Sciences
关键词 P-LAPLACIAN边值问题 正解 锥 差分方程 P-Laplacian boundary value problem positive solutions cone difference equation
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献9

  • 1He Z M.On the Existence of Positive Solutions of P-Laplacian Difference Equation[J].J Comput Appl Math,2003,161:193-201.
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二级参考文献9

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共引文献17

同被引文献13

  • 1王大斌,王国兴.一类n阶差分方程边值问题的多解性[J].兰州理工大学学报,2005,31(5):129-133. 被引量：7
  • 2孙建平,赵亚红.非线性三点边值问题解的一个新的存在定理(英文)[J].Journal of Mathematical Research and Exposition,2005,25(4):582-588. 被引量：3
  • 3Y. Raffoul. Positive Periodic Solutions of Nonlinear Functional Difference Equations[J]. Electronic Journal Differential Equations, 2002, 55:419-430.
  • 4M. J. Ma,J. S. Yu. Existence of Multiple Positive Periodic Solutions for Nonlinear Functional Difference Equations[J]. Math Anal Appl, 2005,305:483-490.
  • 5He Z M. On the Existence of Positive Solutions of P-Laplacian Difference Equation[J]. J Comput Appl Math,2003,161:193-201.
  • 6Eloe P W. A Generalization of Concavity for Finite Differences[J]. Comput Math Apll, 1998,36:109-113.
  • 7Leggett R W, Williams L R. Multiple Positive Fixed Points of Nonlinear Operators on Order Banach Spaces[J]. Indiana University Math J, 1979,28:673-688.
  • 8Raffoul Y.Positive Periodic Solutions of Nonlinear Functional Difference Equations[J].Electronic Journal Differential Equations,2002,55:419-430.
  • 9Ma M J,Yu J S.Existence of Multiple Positive Periodic Solutions for Nonlinear functional difference equations[J].Math Anal Appl,2005,305:483-490.
  • 10Sun J P.A New Existence Theorem for Right Focal Boundary Value Problems on a Measure Chain[J].Applied Mathematics Letters,2005,18:41-47.

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甘肃科学学报
2006年 第3期

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