The Method of Upper and Lower Solutions for Second Order Differential Inclusions with Integral Boundary Conditions

A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions

“…In [15,28] the authors studied the existence and uniqueness of solutions of classes of initial value problems for functional differential equations with infinite delay and fractional order, and in [16] a class of perturbed functional differential equations involving the Caputo fractional derivative has been considered. Related problems to those considered in the present survey have been considered by means of different methods by Belarbi et al [14] and Benchohra et al in [23,24] in the case of α = 2.…”

Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations

“…To see only few of these papers, we refer the reader to the papers [2][3][4][5][6][7][8][9]. And very recently, Ahmad and Ntouyas [10] initiated research regarding multipoint nonlocal integral boundary conditions such as seen in (2).…”

Monotone iteration method for differential equations involving integral boundary conditions on the half line

“…They include two, three, multi-point and nonlocal boundary value problems as special cases [17]. For boundary value problems with integral boundary conditions and comments on their importance, we refer the reader to [17][18][19] and the references therein.…”