Advanced Differential Equations 1st Edition by Youssef Raffoul 9780323992817 0323992811
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Advanced Differential Equations 1st Edition Youssef Raffoul – Ebook Instant Download/Delivery ISBN(s): 9780323992800, 0323992803, 9780323992817, 0323992811
Product details:
- ISBN 10: 0323992811
- ISBN 13: 9780323992817
- Author: Youssef Raffoul
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.
Table contents:
Chapter 1: Preliminaries and Banach spaces
Chapter 2: Existence and uniqueness
Chapter 3: Systems of ordinary differential equations
Chapter 4: Stability of linear systems
Chapter 5: Qualitative analysis of linear systems
Chapter 6: Nonlinear systems
Chapter 7: Lyapunov functions
Chapter 8: Delay differential equations
Chapter 9: New variation of parameters
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