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First-order functional difference equations with nonlinear boundary value problems. (English) Zbl 1189.39003
Summary: The monotone iterative method is used to show that corresponding difference problems with boundary conditions have extremal solutions in the region bounded by lower and upper solutions. It is important to indicate that the right-hand sides of problems depend on r delayed arguments. Difference inequalities of such types are also discussed. Two examples satisfying the assumptions are presented.
39A10Additive difference equations
39A12Discrete version of topics in analysis
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