Maximum Principles for the Hill’s Equation
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Maximum Principles for the Hill’s Equation

SKU: 9780128041260

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Additional information

Full Title

Maximum Principles for the Hill\'s Equation
Author(s)

Alberto Cabada, José Ángel Cid, Lucía López-Somoza
Edition
ISBN

9780128041260, 9780128041178
Publisher

Academic Press
Format

PDF and EPUB

Description

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.

  • 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

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