Maximum Principles for the Hill's Equation

Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Maximum Principles for the Hill's Equation by Lucía López-Somoza, Alberto Cabada, José Ángel Cid, Elsevier Science
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Author: Lucía López-Somoza, Alberto Cabada, José Ángel Cid ISBN: 9780128041260
Publisher: Elsevier Science Publication: October 27, 2017
Imprint: Academic Press Language: English
Author: Lucía López-Somoza, Alberto Cabada, José Ángel Cid
ISBN: 9780128041260
Publisher: Elsevier Science
Publication: October 27, 2017
Imprint: Academic Press
Language: English

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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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.

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