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.
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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