Excerpt from The Coexistence Problem for Hill's Equation
Equation (1) is the Liouville normal form of the classical sturm-liouville equation* and includes the well-known equations of Mathieu and Hill.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Sinopsis" puede pertenecer a otra edición de este libro.
Excerpt from The Coexistence Problem for Hill's Equation
Equation (1) is the Liouville normal form of the classical sturm-liouville equation* and includes the well-known equations of Mathieu and Hill.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Sobre este título" puede pertenecer a otra edición de este libro.
Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book concerns the stability of the solutions of Hill's equation, which models physical occurrences such as the vibrations of an elliptic membrane or a non-linear spring system. Originally introduced to describe the motion of the Moon, this equation has applications to diverse fields such as astronomy, engineering, and quantum mechanics. The book comprehensively analyzes the two main questions that have been central to research on Hill's equation: Are there periodic solutions with a specified period? If so, can two linearly independent solutions with the same period coexist? The author's approach is a novel extension of Ince's method of transforming the equation to solve these questions. This method not only expands upon Ince's work but also provides a comprehensive theoretical framework for analyzing periodic solutions and their coexistence. The author's findings deepen our understanding of Hill's equation and related equations with periodic coefficients, extending the range of applicable mathematical techniques and shedding light on the dynamics of systems governed by such equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9780331213607_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780331213607
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780331213607
Cantidad disponible: 15 disponibles