Monotone method for first-order functional differential equations. (English) Zbl 1140.34406

Nieto, J. J.; Rodríguez-López, R.

Comput. Math. Appl. 52, No. 3-4, 471-484 (2006).

Summary: We study periodic boundary value problems relative to a general class of first-order functional differential equations. For this class of problems, we develop the monotone iterative technique. Our formulation is very general, including delay differential equations, functional differential equations with maxima and integro-differential equations, but the case where the operator defining the functional dependence is not necessarily Lipschitzian is also considered.

MSC:

34K10	Boundary value problems for functional-differential equations
34K07	Theoretical approximation of solutions to functional-differential equations

Keywords:

periodic boundary value problems; comparison results; upper and lower solutions; monotone method

References:

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