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portada Advanced Differential Equations
Type
Physical Book
Publisher
Author
Language
English
Pages
364
Format
Paperback
ISBN13
9780323992800
Edition No.
1

Advanced Differential Equations

Youssef N. Raffoul (Author) · Academic Press · Paperback

Advanced Differential Equations - Youssef N. Raffoul

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Synopsis "Advanced Differential Equations "

Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems. The book delivers difficult material in an accessible manner, utilizing easier, friendlier notations and multiple examples. Sections focus on standard topics such as existence and uniqueness for scalar and systems of differential equations, the dynamics of systems, including stability, with examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues' approach, to coverage of the Lyapunov direct method, this book readily supports the study of stable and unstable manifolds and bifurcations. Additional sections cover the study of delay differential equations, extending from ordinary differential equations through the extension of Lyapunov functions to Lyapunov functionals. In this final section, the text explores fixed point theory, neutral differential equations, and neutral Volterra integro-differential equations.

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