First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions
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)].
scientific article; zbMATH DE number 1491643