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Extremality and comparison results for discontinuous third order functional initial-boundary value problems. (English) Zbl 0976.34009
The authors prove the existence of the extremal solutions to a class of initial-boundary value problems for third-order differential equations with functional dependence, which may involve discontinuous nonlinearities. Some theoretical examples are given to illustrate the main results.
Reviewer: Eduardo Liz (Vigo)

MSC:
34A36 Discontinuous ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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