Fifth order boundary value problem appears in the mathematical modelling of viscoelastic flows and other branches of mathematical, physical and engineering sciences [4, 5]. The conditions for the existence and uniqueness of the solution of such problems can be found in [6]. Gamel [2] analyzed Sinc-Galerkin method for the solution of fifth-order boundary value problems with two-point boundary co...

In this paper, we study the existence of positive solutions for a nonlinear fourpoint boundary value problem with a p-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the nonlinear four-point boundary value problem with a p-Laplacian operator is obtained. This is different than previous results.

We consider multivariate sequences, deened by a partial linear recurrence equation together with appropriate boundary conditions. The domain of deenition of these sequences is the rst orthant of the integer lattice, restricted in some dimensions to an initial segment of the nonnegative integers. By means of the kernel method we obtain an explicit expression for the generating function of the so...

Using variational methods we investigate the existence of solutions and their dependence on parameters for certain fourth order difference equations.

An efficient and accurate computational approach is proposed for a nonconvex optimal attitude control for a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete time necessary conditions for optimality are derived, and an efficient computational approach is proposed to solve the resulting two-point boundary-val...

In this paper, the existence of multiple positive solutions for a class of third-order three-point discrete boundary value problem is studied by applying algebraic topology method. Keywords—Positive solutions, Discrete boundary value problem, Third-order, Three-point, Algebraic topology

In this paper we present existence theorems for the second order discrete boundary value problem in Banach spaces under weaker conditions we have known. We suppose the weak sequential continuity and some conditions expressed in terms of the measure of weak noncompactness.

We are concerned with the discrete focal boundary value problem ∆3x(t−k) = f(x(t)), x(a) = ∆x(t2) = ∆2x(b+ 1) = 0. Under various assumptions on f and the integers a, t2, and b we prove the existence of three positive solutions of this boundary value problem. To prove our results we use fixed point theorems concerning cones in a Banach space.

In this paper we consider the discrete anisotropic boundary value problem using critical point theory. Thirstily we apply the direct method of the calculus of variations and the mountain pass technique in order to reach the existence of at least one non-trivial solution. Secondly we derive some version of a discrete three critical point theorem which we apply in order to get the existence of at...