Cart
Free US shipping over $10
Proud to be B-Corp

Maximum Principles for the Hill's Equation Summary

Maximum Principles for the Hill's Equation by Alberto Cabada (Department of Mathematical Analysis, Faculty of Mathematics, Universidade de Santiago de Compostela)

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.

Maximum Principles for the Hill's Equation Reviews

The book presents a deep and up-to-date theory on the Hill's equation. It is well organized, by giving a rich list of references at the end of each chapter, as well as, a sufficient number of illustrative examples. It is easily readable by mathematicians working on the field of ordinary differential equations and, certainly, it could be recommended as a good guide for a related graduate course. --Zentralblatt Math This volume will be useful for a wide range of mathematicians, including graduate students and researchers interested in the theory and applications of second-order ordinary differential equations, especially Hill type equations (which are still a hot topic at present) and also nonlinear equations, equations with singularities and parameters. The theorems are carefully proved, and in each chapter an adequate list of references is given. Finally, the book contains many explanatory remarks and examples which may contribute to a better understanding of the theoretical results. --Mathematical Reviews Clippings This volume will be useful for a wide range of mathematicians, including graduate students and researchers interested in the theory and applications of second-order ordinary differential equations, especially Hill type equations (which are still a hot topic at present) and also nonlinear equations, equations with singularities and parameters. The theorems are carefully proved, and in each chapter an adequate list of references is given. Finally, the book contains many explanatory remarks and examples which may contribute to a better understanding of the theoretical results. --MathSciNet

About Alberto Cabada (Department of Mathematical Analysis, Faculty of Mathematics, Universidade de Santiago de Compostela)

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 indexed in the Citation Index Report and has authored two monographs. Jose Angel Cid is Associate Professor at the Universtity of Vigo (Spain). His main line of research is the qualitative analysis of boundary and initial value problems for ordinary differential equations. He is the author or co-author of more than forty research papers. Lucia Lopez-Somoza is a Ph.D. student at University of Santiago de Compostela (Spain). Her research is focused on the study of nonlinear functional differential equations.

Table of Contents

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

Additional information

NGR9780128041178
9780128041178
012804117X
Maximum Principles for the Hill's Equation by Alberto Cabada (Department of Mathematical Analysis, Faculty of Mathematics, Universidade de Santiago de Compostela)
New
Paperback
Elsevier Science Publishing Co Inc
2017-10-19
252
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Maximum Principles for the Hill's Equation