PDF Ebook Nonlinear Ordinary Differential Equations, by R. Grimshaw
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Nonlinear Ordinary Differential Equations, by R. Grimshaw
PDF Ebook Nonlinear Ordinary Differential Equations, by R. Grimshaw
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Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. It presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. The book presents the theory and methods of functional analysis, energy identities, and strongly continuous and holomorphic semigroups. Many mechanical designs provide concrete examples of damping devices. Numerical examples also confirm the strong agreements between the theoretical estimates and numerical computations of damping rates of eigenmodes.
- Sales Rank: #9081904 in Books
- Published on: 1991-04-30
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 336 pages
About the Author
Professor of Nutritional Science and Dietetics, University of Nebraska, Lincoln.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Solid introduction to advanced ODE theory
By A Customer
This book is good overall. It covers all of the basics adequately: existence/uniqueness, linear systems, Floquet theory, stability, perturbation and averaging methods, etc. The final chapter is devoted to Hamiltonian systems which goes into greater detail than an introductory mechanics course might. The only complaint is that the binding is terrible. Everyone in my ODE class (approximately 10 students) said their book fell apart in a matter of weeks. A good supplement to this book might be Verhulst's nonlinear dynamics book.
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