Theory of Differential Equations, Vol. 2 (Classic Reprint) - Softcover

Andrew Russell Forsyth

 
9781330365144: Theory of Differential Equations, Vol. 2 (Classic Reprint)

Synopsis

This book is the second in a two-volume contribution to the understanding and analysis of systems of differential equations with a focus on their functional character. Building on the author's first volume, this book focuses on the investigation and analysis of the integral, with particular attention to the nature of singularities and their impact. It discusses the existence of integrals, the question of uniqueness, the behavior of the integral in the vicinity of accidental singularities, reduction of the differential equation to typical forms valid in the vicinity of singularities, and the character of integrals possessed by each of the reduced systems. The author also includes a discussion on essential singularities and branch-points. The work is essential reading for anyone seeking a deeper understanding of the behavior and analysis of differential equations.

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