most citedA family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions

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math.CA2013★ 12 cited

A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions

Saud M. Alsulami, Paul Nevai, József Szabados +1

We study solutions of nonhomogeneous nonlinear second order difference equations of the type $\ell_n = x_n ( σ_{n,1} x_{n+1} + σ_{n,0} x_n + σ_{n,-1} x_{…