Advanced Differential Equations – Ebook PDF Instant Delivery – ISBN(s): 9780323992800,0323992803
Product details:
- ISBN-10 : 0323992803
- ISBN-13 : 978-0323992800
- Author: Youssef N. 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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