Maximum Principles for the Hill's Equation

By Jose Cid, Lucia Somoza, Alberto Cabada

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.

• Format: Paperback
• Language: English
• ISBN: 012804117X
• ISBN13: 9780128041178
• Release Date: November 2017
• Publisher: Academic Press
• Length: 252 Pages