This paper provides sufficient conditions to guarantee the existence, non-existence and multiplicity of solutions for a third order eigenvalue fully differential equation, coupled with three point boundary value conditions. ...

This article is devoted to the study of the parameter’s set where the Green’s function related to a general linear nth-order operator, depending on a real parameter, Tn[M], coupled with many different two point boundary value ...

We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel’ski˘ı’s ...

In the paper, we investigate a local boundary value problem with transmitting condition of the integral form for mixed parabolic-hyperbolic equation with non-characteristic line of type changing. Theorem on strong solvability ...

In this work we study the following third order differential equation: Ly := y + (q(x, y) + λ)y = f ∈ L2(R), R = (–∞,∞),λ > 0, where q(x, y) ≥ 1 is a continuous function in all its variables. We will deal with the following ...

We prove that if there exists α ≤ β, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n) = f (n,u(n)); n ∈ IN ≡ {0, . . . ,N −1}, u(0) = u(N), with f a continuous N-periodic function ...

This paper is devoted to the study of the sign of the Green’s function related to a general linear nth-order operator, depending on a real parameter, Tn[M]Tn[M], coupled with the (k,n−k)(k,n−k) boundary value conditions. If ...

This work is devoted to the study of the existence and periodicity of solutions of initial differential problems, paying special attention to the explicit computation of the period. These problems are also connected with ...

We prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general nth problem in time scales with linear dependence on the ith Δ- derivatives for i = 1, 2, . . . ,n, together ...