Periodic differential operators [electronic resource] /
Brown, B. Malcolm.author.
Eastham, Michael S.P.author.
Schmidt, Karl Michael.author.
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 remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.
Description based upon print version of record.
Includes bibliographical references and index.
Preface -- 1 Floquet Theory -- 2 Oscillations -- 3 Asymptotics -- 4 Spectra -- 5 Perturbations.
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 remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.
Differential equations.
Operator theory.
Ordinary Differential Equations.
Operator Theory.
Operator theory