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Boundary value problems for difference equations with causal operators |
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| Authors: | Tadeusz Jankowski |
| Affiliation: | Gdansk University of Technology, Department of Differential Equations and Applied Mathematics, 11/12 G. Narutowicz Str., 80-233 Gdańsk, Poland |
| Abstract: | By using the monotone iterative method, some new results are established for nonlinear boundary conditions of difference problems with causal operators. We formulate sufficient conditions under which such problems have extremal solutions. Difference inequalities with causal operators are also discussed. Two examples are added to illustrate the results. |
| Keywords: | Difference equations with causal operators Difference inequalities with causal operators Lower and upper solutions Monotone iterative method Existence of solutions |
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