Reverse-Order Lower and Upper Functions for Periodic Problems of Second-Order Singular Difference Equations

On Second Order Periodic Boundary-value Problems with Upper and Lower Solutions in the Reversed Order

In this paper, we study the differential equation with the periodic boundary value u′′(t) = f(t, u(t), u′(t)), t ∈ [0, 2π] u(0) = u(2π), u′(0) = u′(2π). The existence of solutions to the periodic boundary problem above with appropriate conditions is proved by using an upper and lower solution method.

Initial value problems for second order hybrid fuzzy differential equations

Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia

Recent Existence Results for Second-Order Singular Periodic Differential Equations

Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations

and Applied Analysis 3

Periodic Boundary Value Problems and Periodic Solutions of Second Order FDE with Upper and Lower Solutions∗

We use the monotone iterative technique with upper and lower solutions in reversed order to obtain two monotone sequences that converge uniformly to extremal solutions of second order periodic boundary value problems and periodic solutions of functional differential equations(FDEs).