A boundary value problem for second-order nonlinear difference equations on the integers
Keyword(s):
AbstractIn 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 l2 and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.
2002 ◽
Vol 8
(11)
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pp. 1019-1032
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2019 ◽
Vol 477
(2)
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pp. 1243-1264
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2003 ◽
Vol 45
(6-9)
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pp. 1417-1427
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