A periodic boundary value problem in Hilbert space

Existence and uniqueness of solutions for a periodic boundary value problem

In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.

A periodic boundary value problem with vanishing Green's function

In this work, the authors consider the boundary value problem { y + a(t)y = g(t) f (y), 0 ≤ t ≤ 2π, y(0) = y(2π), y(0) = y(2π), and establish the existence of nonnegative solutions in the case where the associated Green’s function may have zeros. The results are illustrated with an example. c © 2007 Elsevier Ltd. All rights reserved.

A Boundary Value Problem in the Hyperbolic Space

Reproducing Kernel Hilbert Space(RKHS) method for solving singular perturbed initial value problem

In this paper, a numerical scheme for solving singular initial/boundary value problems presented.By applying the reproducing kernel Hilbert space method (RKHSM) for solving these problems,this method obtained to approximated solution. Numerical examples are given to demonstrate theaccuracy of the present method. The result obtained by the method and the exact solution are foundto be in good agr...

existence and uniqueness of solutions for a periodic boundary value problem

in this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in banach spaces admitting the existence of a lower solution.