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

• Autores: F. Dal, G. S. Guseinov
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 47, Nº 2, 2005, págs. 237-248
• Idioma: inglés
• DOI: 10.1017/s1446181100010002
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• Resumen

  • In this study, we are concerned with a boundary value problem (BVP) for nonlinear difference equations on the set of all integers , 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 and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.