Coexistence problem hills equation (31 Ergebnisse)

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Paperback. Zustand: 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.…

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