Maximum principles for the Hill's equation

Maximum principles for the Hill's equation

Author
Cabada, AlbertoCid, JoséLópez-Somoza, Lucía et al.
Publisher
Elsevier,Academic Press
Language
English
Year
2018
Page
238
ISBN
978-0-12-804117-8,012804117X
File Type
pdf
File Size
1.8 MiB

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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