For a general subcritical second-order elliptic operator P in a domain Ω⊂ R n (or
noncompact manifold), we construct Hardy-weight W which is optimal in the following sense …

Periodic differential operators have a rich mathematical theory as well as important physical
applications. They have been the subject of intensive development for over a century and …

This catalogue commences with sections devoted to a brief summary of Sturm-Liouville
theory including some details of differential expressions and equations, Hilbert function …

Perturbations of asymptotic decay c/r 2 arise in the partial-wave analysis of rotationally
symmetric partial differential operators. We show that for each end-point λ 0 of the spectral …

We find very general classes of linear and half-linear difference equations which are
conditionally oscillatory. We identify the critical oscillation constant whose value implies the …

This paper is dedicated to obtaining closed‐form solutions of linear difference equations
which are asymptotically close to the self‐adjoint Euler‐type difference equation. In this …

The principal aim of this note is to illustrate how factorizations of singular, even-order partial
differential operators yield an elementary approach to classical inequalities of Hardy-Rellich …

In this paper we study the second-order dynamic equation on the time scale T of the form (r
(t) y Δ) Δ+ γ q (t) t σ (t) y σ= 0, where r, q are positive rd-continuous periodic functions with inf …

This paper is devoted to the analysis of the oscillatory behavior of Euler type linear and half-
linear differential equations. We focus on the so-called conditional oscillation, where there …

We investigate second order half-linear Euler type difference equations whose coefficients
have mean values. We show that these equations are conditionally oscillatory and we …