in this paper, a numerical method is developed for solving a linear sixth order boundaryvalue problem (6vbp ) by using the hyperbolic uniform spline of order 3 (lower order). thereis proved to be first-order convergent. numerical results confirm the order of convergencepredicted by the analysis.

Using the theory of fixed point theorem in cone, this paper presents the existence of positive solutions for the singular m-point boundary value problem

In this paper, we study the existence of positive solutions to boundary value problem      u + λf (t, u) = 0, t ∈ (0, 1), u(0) = m−2 i=1 α i u(ξ i), u (1) = m−2 i=1 β i u Krasnosel'skii's fixed point theorem, we provide sufficient conditions for the existence of at least one positive solution to the above boundary value problem.

This paper is devoted to the study of existence and nonexistence positive solutions for a second-order m-point eigenvalue impulsive boundary value problem. We use fixed point theorems on cones in order achieve our results.

In this paper, we investigatethe boundary value problem for differential pencils on the half-linewith a turning point. Using a fundamental system of solutions, wegive a asymptotic distribution of eigenvalues.

By using fixed point theorems in cones, the existence of multiple positive solutions is considered for nonlinear m-point boundary value problem for the following second-order boundary value problem on time scales φ uΔ ∇ a t f t, u t 0, t ∈ 0, T , φ uΔ 0 ∑m−2 i 1 aiφ uΔ ξi , u T ∑m−2 i 1 biu ξi , where φ : R → R is an increasing homeomorphism and homomorphism and φ 0 0. Some new results are obta...