A boundary value problem for second-order nonlinear difference equations on the integers

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Dal F. , GUSEINOV G.

ANZIAM JOURNAL, cilt.47, ss.237-248, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1017/s1446181100010002
  • Dergi Adı: ANZIAM JOURNAL
  • Sayfa Sayıları: ss.237-248

Özet

In this study, we are concerned with a boundary value problem (BVP) for nonlinear difference equations on the set of all integers Z, under the assumption that the left-hand side is a second-order linear difference expression which belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.