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First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions. (English) Zbl 0966.34025
The monotone iterative technique, coupled with the method of upper and lower solutions, is used to prove the existence of a unique solution to a class of boundary value problems for a first-order differential equation with impulses, including the case of antiperiodic conditions. The results obtained in this paper complement those obtained by the reviewer in [Nonlinear Anal., Theory Methods Appl. 25, No. 11, 1191-1198 (1995; Zbl 0844.34019)].
Reviewer: Eduardo Liz (Vigo)

MSC:
34B37 Boundary value problems with impulses for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34A37 Ordinary differential equations with impulses
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