Eigenvalue problem for a set of coupled Schrödinger like ODEs

Nonclassical Eigenvalue Asymptotics for Operators of Schrödinger

which depends on the volume u)n of the unit sphere in R n and the beta function. Assuming /3 < 2 we see that integral (2) becomes divergent if V (x) vanishes to a sufficiently high order. The simplest such potential is V(x,y) = \x\\y\P o n R n + R m . The Weyl (volume counting) principle, when applied to the corresponding Schrödinger operator — A-hV(x), fails to predict discrete spectrum below ...

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

A Local Branching Approach for the Set Covering Problem

The set covering problem (SCP) is a well-known combinatorial optimization problem. This paper investigates development of a local branching approach for the SCP. This solution strategy is exact in nature, though it is designed to improve the heuristic behavior of the mixed integer programming solver. The algorithm parameters are tuned by design of experiments approach. The proposed method is te...

An Arnoldi like method for the delay eigenvalue problem

The method called Arnoldi is currently a very popular method to solve largescale eigenvalue problems. The general purpose of this paper is to generalize Arnoldi to the characteristic equation of a delay-differential equation (DDE), here called a delay eigenvalue problem. The DDE can equivalently be expressed with a linear infinite dimensional operator which eigenvalues are the solutions to the ...

THE EIGENVALUE PROBLEM FOR THE p-LAPLACIAN-LIKE EQUATIONS

We consider the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du| p)|Du| p−2 Du) = λf (x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ R n is a bounded smooth domain. When λ is small enough, a multiplicity result for eigen-functions are obtained. Two examples from nonlinear quantized mechanics and capillary phenomena, respectively, are given for applications of the theorems.