By applying the monotone iterative technique, we obtain the existence and uniqueness of C 1 [0, 1] positive solutions in some set for singular boundary value problems of second order ordinary differential equations with integral boundary conditions.
In this paper, we study the existence of extremal solutions for a nonlinear third-order differential equation with three-point nonlinear boundary value conditions. By means of the method of upper and lower solutions and different monotone iterative techniques, the sufficient conditions which guarantee the existence of extremal solutions are given. An… (More)
In this paper, we consider the existence of second-order damped vibration Hamiltonian systems with impulsive effects. We obtain some new existence theorems of solutions by using variational methods. c 2016 All rights reserved.
By using the Leggett-Williams fixed theorem, we establish the existence of multiple positive solutions for second-order nonhomogeneous Sturm-Liouville boundary value problems with linear functional boundary conditions. One explicit example with singularity is presented to demonstrate the application of our main results.