Stability of Nonlinear Functional Difference Equations
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چکیده
We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type with an unknown function in several variables. The error is estimated by a solution of an initial problem for nonlinear differential functional equation. We apply this general result to the investigation of the convergence of difference schemes generated by mixed problems for evolution functional differential equations. We assume nonlinear estimates of the Perron type with respect to the functional variable for given operators.
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