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Existence and uniqueness results for discrete second-order periodic boundary value problems. (English) Zbl 1057.39008
The paper contains results on existence and uniqueness of a second order nonlinear difference equation $$- \Delta^2 y(n-1) + q(n) y(n) = f(n,y(n)),$$ $\Delta$ the forward difference operator, with periodic boundary conditions. The methods used in the proofs are based on the notions of lower and upper solutions, Green’s functions and Brouwer’s fixed point theorem.

MSC:
 39A12 Discrete version of topics in analysis 34B15 Nonlinear boundary value problems for ODE 39A11 Stability of difference equations (MSC2000)
Full Text:
References:
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