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Monotone iterative technique by upper and lower solutions with initial time difference. (English) Zbl 1340.34052

Summary: The monotone iterative technique have been investigated by choosing upper and lower solutions with initial time difference that start at different initial times for the initial value problem. This method offers a way of proving existence of maximal and minimal solutions in addition to obtaining solutions in closed sectors.

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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