Consider a second-order linear 2-point boundary value problem (BVP) −z + p(x)z + q(x)z = r(x) (10.1) z(a) = α (10.2) z(b) = β (10.3) where p(x), q(x) and r(x) are given. By defining y(x) := [z(x), z (x)] T , the problem can be changed into a first-order differential system y = 0 1 q(x) p(x) y + 0 −r(x) (10.4) y 1 (a) − α = 0 (10.5) y 2 (b) − β = 0. (10.6) Remark. In general, a linear 2-point BV...

Reconstructing brain activity through electroencephalography requires a boundary value problem (BVP) solver to take a proposed distribution of current dipoles within the brain and compute the resulting electrostatic potential on the scalp. This article proposes the use of sequential kriging optimization to identify different optimal BVP solver parameters for dipoles located in isolated sections...

‎in this paper‎, ‎we provide sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation‎. ‎by applying kranoselskii`s fixed--point theorem in a cone‎, ‎first we prove the existence of solutions of an auxiliary bvp formulated by truncating the response function‎. ‎then the arzela--ascoli theorem is used to take $c^1$ ...

This article deals with a special case of the Sturm-Liouville boundary value problem (BVP), an eigenvalue characterized by differential operator unknown spectra and associated eigenfunctions. By examining BVP in Schr\"odinger form, we are interested where corresponding invariant function takes form reciprocal quadratic form. We call this modified second Paine-de Hoog-Anderssen (PdHA) problem. e...

Objectives: Factors influencing results of balloon valvuloplasty (BVP) pulmonary valve stenosis (PS) in children are investigated. Background: BVP has become the standard care for PS, medium-term not uniform and depend on various preconditions. Methods: We analysed PS an observational, single centre study. Need additional procedure was defined as outcome after initial BVP. Results: included 143...

Human postural control is regulated by the vestibular, somatosensory, and visual systems. These types of sensory information are integrated in central nervous system to ascertain body’s position space. Proper functioning senses necessary for body maintain equilibrium. Bilateral vestibulopathy (BVP) a condition which bilateral peripheral vestibular function reduced. Its treatment includes rehabi...

We consider fourth order singularly perturbed boundary value problems (BVPs) in one-dimension and the approximation of their solution by the hp version of the Finite Element Method (FEM). If the given problem’s boundary conditions are suitable for writing the BVP as a second order system, then we construct an hp FEM on the so-called Spectral Boundary Layer Mesh that gives a robust approximation...