Maximum Principles For The Hill's Equation by Alberto CabadaMaximum Principles For The Hill's Equation by Alberto Cabada

Maximum Principles For The Hill's Equation

byAlberto Cabada, José Ángel Cid, Luc López-somoza

Paperback | October 19, 2017

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Maximum Principles for the Hill's Equationfocuses 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.

  • Evaluates classical topics in the Hill's equation that are crucial for understanding modern physical models and non-linear applications
  • Describes explicit and effective conditions on maximum and anti-maximum principles
  • Collates information from disparate sources in one self-contained volume, with extensive referencing throughout
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 articles inde...
Title:Maximum Principles For The Hill's EquationFormat:PaperbackDimensions:252 pages, 8.75 × 6.35 × 0.68 inPublished:October 19, 2017Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:012804117X

ISBN - 13:9780128041178


Table of Contents

1. Introduction 2. Homogeneous Equation 3. Non Homogeneous Equation 4. Nonlinear Equations Appendix: Sobolev Inequalities