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文章基本信息

  • 标题:Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales
  • 本地全文:下载
  • 作者:M. Benchohra ; J. Henderson ; S. K. Ntouyas
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2007
  • 卷号:2007
  • DOI:10.1155/2007/31640
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Values of λ are determined for which there exist positive solutions of the system of dynamic equations, u Δ Δ ( t ) + λ a ( t ) f ( v ( σ ( t ) ) ) = 0 , v Δ Δ ( t ) + λ b ( t ) g ( u ( σ ( t ) ) ) = 0 , for t ∈ [ 0 , 1 ] T , satisfying the boundary conditions, u ( 0 ) = 0 = u ( σ 2 ( 1 ) ) ,   v ( 0 ) = 0 = v ( σ 2 ( 1 ) ) , where T is a time scale. A Guo-Krasnosel'skii fixed point-theorem is applied.

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