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On delay differential equations with nonlinear boundary conditions


The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities.

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Correspondence to Tadeusz Jankowski.

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Jankowski, T. On delay differential equations with nonlinear boundary conditions. Bound Value Probl 2005, 713031 (2005).

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