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During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).
This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.
Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.
This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.
Contents:
- Introduction
- Fundamental Theory
- Linear Systems
- Stability of Nonlinear Systems
- Method of Lyapunov Functions
- Two-Dimensional Systems
- Second Order Linear Equations
- The Index Theory and Brouwer Degree
- Perturbation Methods
- Introduction to Monotone Dynamical Systems
Readership: Graduate students in mathematics, applied mathematics, and engineering.
Ebook for Ordinary Differential Equations With Applications (2nd Edition) (Series On Applied Mathematics Book 21) is an fantastic research study guide that exceeds and beyond what is usually expected. The thorough construction of this source, which incorporates intellectual understandings with practical methods to test prep work, makes it an incredibly useful instrument for pupils. This manual, which was written by $_authors$, that are well-regarded academics in their corresponding fields, and released by $_publisher$ on $_publish_date$, is an important resource for anyone that is functioning toward accomplishing success in Test bank, Solution manual.
During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).
This useful b
Remarkable Qualities and Thorough Info
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