Titel: Theory of Differential Equations, Vol 3 Part II Ordinary Equations, Not Linear Classic Reprint
Verlag: Forgotten Books
Ver�ffentlichungsdatum: 2019
Sprache: Englisch
ISBN-10: 1334018235
ISBN-13: 9781334018237
Bindung: PAP
Zustand: New

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This book delves into the theoretical framework surrounding differential equations, particularly those equations that are nonlinear and of the first order. The author employs a systematic approach, exploring concepts from their origin, elucidating their historical evolution, and examining the analytical tools utilized in their study. The book's primary focus is the investigation of the behavior of integrals associated with differential equations in the vicinity of singular points and singularities. The author introduces essential background material, including the existence and uniqueness of integrals and the reduction of systems to canonical forms. The exploration then extends to more complex scenarios involving accidental singularities and essential singularities, providing a comprehensive analysis of the integral behavior in each case. The book concludes with a detailed examination of the reduced forms of systems of equations involving two dependent variables, offering a thorough understanding of the construction and characteristics of these forms.

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Excerpt from Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear

Complete integral of a special system of two equations in a canonical reduced form: with inferences sug gested as to the complete integral of a general system of two equations.

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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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