The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …

We determine the asymptotic formulas for eigenfunctions of Hill's equation with symmetric
single-well potential under periodic and semiperiodic boundary conditions. We apply the …

In this article, we focus on the study of a forced single degree of freedom Hill-type differential
equation, which can be found in particular in the modeling of gear interactions. We consider …

The paper describes the stages of paper production, considers the structure of a paper-
making machine. Questions related to the proof and use of the Pontryagin's maximum …

Throughout this paper the asymptotic approximations for eigen-functions of eigenvalue
problems associated with Hill's equation satisfying periodic and semi-periodic boundary …

In this paper we study the existence, multiplicity and the stability properties of lateral
(positive) periodic oscillations in a class of simple parallel-plate MEM devices based on …

This paper is devoted to creating an optimal paper web control system. The authors
analyzed the requirements for modern automated control and regulation systems. The paper …

In this paper we will characterize the spectrum of the second order Hill's equation coupled to
several boundary value conditions. More concisely, the idea consists of study the spectrum …

In this article, we present a two-point boundary value problem with separated boundary
conditions for a finite nabla fractional difference equation. First, we construct an associated …

It has been shown that, under suitable hypotheses, boundary value problems of the form,
Ly+ λy= f, BCy= 0 where L is a linear ordinary or partial differential operator and BC denotes …