Maximum Principles for the Hill's Equation

Erscheinungsjahr 2017
ISBN: 978-0-12-804117-8
Verlag: Elsevier Science

Buch, Englisch, 252 Seiten, Format (B × H): 149 mm x 228 mm, Gewicht: 418 g

Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,.) and for problems with parametric dependence. The authors discuss the properties of the related Green's functions coupled with different boundary value conditions. In addition, they establish the equations' relationship with the spectral theory developed for the homogeneous case, and discuss stability and constant sign solutions. Finally, reviews of present classical and recent results made by the authors and by other key authors are included.

Zielgruppe

<p>The primary audience will consist of trained mathematicians, including both theoretical and applied mathematicians working on the subject of differential equations. The book also could be used for a Ph. D course addressed to graduate students. This audience will benefit from a short book providing both complete and accessible information of classical results and recent developments related to the subject.</p>

Autoren/Hrsg.

Cabada, Alberto

Cid, José Ángel

López-Somoza, Lucía

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Introduction 2. Homogeneous Equation3. Non Homogeneous Equation4. Nonlinear EquationsAppendix: Sobolev Inequalities

Über Autor(innen)

López-Somoza, Lucía
Lucía López-Somoza is a Ph.D. student at University of Santiago de Compostela (Spain). Her research is focused on the study of nonlinear functional differential equations.

Cabada, Alberto
Alberto Cabada is Professor at the University of Santiago de Compostela (Spain). His line of research is devoted to the existence and multiplicity of solutions of nonlinear differential equations, both ordinary and partial, as well as difference and fractional ones. He is the author of more than one hundred forty research and has authored two monographs.

Cid, José Ángel
José Ángel Cid is Associate Professor at the Universtity of Vigo (Spain). His main line of research is the qualitative analysis of boundary and initial value problems for ordinary differential equations. He is the author or co-author of more than forty research papers.