Excerpt from Infinite Determinants Associated With Hill's Equation Hill's equation plays a role in many problems of electromagnetic theory. Its simplest form, Mathieu's equation arises in the problem of the diffraction by an elliptic cylinder. Generally Speaking, Hill's equation is the differ ential equation for a one-dimensional linear oscillator with a periodic potential. In most applications, the question of the existence of a periodic solution arises. The main purpose of this investigation is to examine the analytic ...
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Excerpt from Infinite Determinants Associated With Hill's Equation Hill's equation plays a role in many problems of electromagnetic theory. Its simplest form, Mathieu's equation arises in the problem of the diffraction by an elliptic cylinder. Generally Speaking, Hill's equation is the differ ential equation for a one-dimensional linear oscillator with a periodic potential. In most applications, the question of the existence of a periodic solution arises. The main purpose of this investigation is to examine the analytic character of the transcendental function whose zeros determine the periodic solutions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... 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.
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