Keywords: Difference equations Boundary value problems Symmetric Green's function Fixed points Fourth-order Discrete Beam Lidstone Semipositone a b s t r a c t Various existence, multiplicity, and… (More)

We study the existence of solutions of the boundary value problem φ(u(n−1)(t)) ′ + f t, u(t), u(t), . . . , u(n−1)(t) = 0, t ∈ (0, 1), gi u, u, . . . , u(n−1), u(i)(0) = 0, i = 0, . . . ,… (More)

This work presents some existence, non-existence and location results for the problem composed by the fourth-order fully nonlinear equation u(4) (x)+ f ( x, u (x) , u (x) , u (x) , u (x) ) = sp(x)… (More)

In this paper we present sufficient conditions for the existence of solutions to the periodic fourth order boundary value problem u(x) = f(x, u(x), u′(x), u′′(x), u′′′(x)) u(a) = u(b), i = 0, 1, 2,… (More)

This paper is concerned with the existence of bounded or unbounded solutions to regular and singular second order boundary value problem on the half-line with functional boundary conditions. These… (More)

*Correspondence: jfzero@gmail.com 1School of Mathematics, Physics and Technology, College of the Bahamas, Nassau, Bahamas 3Research Centre on Mathematics and Applications, University of Évora… (More)

Abstract. By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral… (More)