First-order functional difference equations with nonlinear boundary value problems

Authors:
Tadeusz Jankowski
Affiliations:
Gdansk University of Technology, Department of Differential Equations, 11/12 G.Narutowicz Street, 80-952 Gdańsk, Poland
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 2
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Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations

Nonlinear Analysis: Theory, Methods & Applications
Existence of solutions of boundary value problems for differential equations with delayed arguments

Journal of Computational and Applied Mathematics

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Abstract

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.