Guseinov, GSMathematics2024-07-052024-07-0520021023-619810.1080/102361902900152812-s2.0-0036851451https://doi.org/10.1080/10236190290015281https://hdl.handle.net/20.500.14411/1122In this paper, we consider a boundary value problem (BVP) for nonlinear difference equations on the discrete semi-axis in which the left-hand side being a second order linear difference expression belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and is formed via boundary conditions at a starting point and at infinity. Existence and uniqueness results for solutions of the considered BVP are established.eninfo:eu-repo/semantics/closedAccessWeyl-Hamburger limit circle casecompletely continuous operatorfixed point theoremsArticleQ3Q381110191032WOS:0001787894000066