Comparison of eigenvalues for a fourth-order four-point boundary value problem

Fourth-order four-point boundary value problem on time scales

and Applied Analysis 3 Using the initial conditions 2.3 , we can deduce from 2.2 for φ and ψ the following equations: φ t η ζ t − ξ1 ∫ t ξ1 ∫ τ ξ1 q s φ σ s ΔsΔτ, 2.5

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

Solvability of a Four-point Boundary-value Problem for Fourth-order Ordinary Differential Equations

In this paper we investigate the existence of solutions of a class of four-point boundary-value problems for fourth-order ordinary differential equations. Our analysis relies on a fixed point theorem due to Krasnoselskii and Zabreiko.

Existence of Solutions for Fourth-Order Four-Point Boundary Value Problem on Time Scales

Fourth-Order Four-Point Boundary Value Problem: A Solutions Funnel Approach

We investigate the existence of positive or a negative solution of several classes of fourpoint boundary-value problems for fourth-order ordinary differential equations. Although these problems do not always admit a positive Green’s function, the obtained solution is still of definite sign. Furthermore, we prove the existence of an entire continuum of solutions. Our technique relies on the cont...