Some higher-order multi-point boundary value problem at resonance

Higher order multi-point fractional boundary value problems with integral boundary conditions

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...

First-order three-point boundary value problems at resonance

Existence of Positive Solutions for a Nonlinear Higher-order Multi-point Boundary Value Problem

We investigate the existence of positive solutions of a system of higher-order nonlinear ordinary differential equations, subject to multi-point boundary conditions. 2000 Mathematics Subject Classification: 34B10, 34B18.

Existence of Positive Solutions for a Higher-order Multi-point Boundary Value Problem

Rodica Luca, Ciprian Deliu “Gh. Asachi” Technical University, Department of Mathematics, Iaşi, Romania [email protected], [email protected] Abstract We study the existence and nonexistence of positive solutions for a system of nonlinear higher-order ordinary differential equations with multi-point boundary conditions.

Existence of multiple positive solutions of higher order multi-point nonhomogeneous boundary value problem

In this paper, by using the Avery and Peterson fixed point theorem, we establish the existence of multiple positive solutions for the following higher order multi-point nonhomogeneous boundary value problem u(t) + f(t, u(t), u(t), . . . , u(t)) = 0, t ∈ (0, 1), u(0) = u(0) = · · · = u(0) = u(0) = 0, u(n−2)(1)−∑ i=1 aiu (ξi) = λ, where n ≥ 3 and m ≥ 1 are integers, 0 < ξ1 < ξ2 < · · · < ξm < 1 a...