1029-242X-2000-605989 1029-242X Research Article <p>A computational investigation of an integro-differential inequality with periodic potential</p> BrownBM KirbyVG

Department of Computer Science, Cardiff University, P.O. Box 916, Cardiff CF3 3XF, UK

School of Mathematics, Kingston University, Penrhyn Road, Kingston Upon Thames, Surrey KT1 2EE, UK

 Journal of Inequalities and Applications 1029-242X 2000 2000 4 605989 http://www.journalofinequalitiesandapplications.com/content/2000/4/605989 10.1155/S1025583400000163 16419991271999 2000Brown and Kirby Integral inequality Ordinary differential equations Titchmarsh–Weyl m-function Periodic potential Numerical methods

This paper is concerned with a certain integral inequality whose associated differential expression contains a periodic potential. In these problems the spectrum consists of bands which may have eigenvalues in the gaps. We use numerical methods to estimate the location of these bands and position of the eigenvalues and use this information to produce new examples of the HELP inequality.