Last edited by Zoloshakar

Tuesday, May 19, 2020 | History

2 edition of **Differential equations and nonlinear mechanics** found in the catalog.

Differential equations and nonlinear mechanics

- 236 Want to read
- 29 Currently reading

Published
**2001**
by Kluwer Academic Publishers in Dordrecht, Boston
.

Written in English

- Nonlinear mechanics -- Congresses.,
- Differential equations -- Congresses.

**Edition Notes**

Statement | edited by K. Vajravelu. |

Genre | Congresses. |

Series | Mathematics and its applications -- v. 528, Mathematics and its applications (Kluwer Academic Publishers) -- v. 528. |

Contributions | Vajravelu, K., International Conference on Differential Equations and Nonlinear Mechanics (1999 : Orlando, Fla.) |

Classifications | |
---|---|

LC Classifications | QA801 .D48 2001 |

The Physical Object | |

Pagination | xi, 435 p. : |

Number of Pages | 435 |

ID Numbers | |

Open Library | OL22474189M |

ISBN 10 | 0792368673 |

Walter Strauss' Partial Differential Equations: An Introduction is pretty standard as far as undergraduate texts go. It seems pretty good to me, although it contains many errors, especially in the first edition. (Errata) The presentation style is. The old classic by Smale and Hirsch,Differential Equations,Dynamical Systems and Linear Algebra is best balanced by the second edition coauthored with Robert Devaney, Differential Equations,Dynamical Systems and An Introduction To Chaos. The second edition is more applied and less mathematically rigorous,but it contains much more information on.

Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study : Birkhäuser Basel.

The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. This broad coverage, the authors' clear presentation and the fact that the book has been thoroughly class-tested will increase its attraction to undergraduates at each stage of Cited by: A non-linear differential equation is a differential equation that is not a linear equation in the unknown function and its derivatives (the linearity or non-linearity in the arguments of the function are not considered here). There are very few methods of solving nonlinear differential equations exactly; those that are known typically depend on the equation having particular symmetries.

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Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics.

This book discusses the properties of solutions of equations in standard form in the infinite time interval. Differential Equations and Nonlinear Mechanics (Mathematics and Its Applications (closed)) Softcover reprint of the original 1st ed. Edition by Kuppalapalle Vajravelu (Author) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or Author: Kuppalapalle Vajravelu. Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics.

This book discusses the properties of solutions of equations in standard form in the infinite time Edition: 1. The International Conference on Differential Equations and Nonlinear Mechanics was hosted by the University of Central Florida in Orlando from MarchOne of the conference days was dedicated to Professor V.

Lakshmikantham in th honor of his. This book contains a superb treatment of the classical theories of nonlinear equations including integral equations of the Volterra type. It was written inwhen the use of computers to solve differential equations and dynamical systems was in its infancy and the book is of course dated in this by: The International Conference on Differential Equations and Nonlinear Mechanics was hosted by the University of Central Florida in Orlando from March.

This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations.

In each of these talks, the focus was on the recent developments in differential equations and nonlinear mechanics and their applications. This book consists of 29 papers based on the invited lectures, and I believe that it provides a good selection of advanced topics of current interest in differential equations and nonlinear mechanics.

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics; [Proceedings] and a great selection of related books, art and collectibles available now at Description: Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators.

Acting as a guide to nonlinear evolution equations and models from physics and. The book includes chapters written by well-known mathematicians and engineers. The topics include nonlinear differential equations, nonlinear dynamics, neural networks, modeling and dissipative processes, nonlinear ODE, nonlinear PDE, nonlinear mechanics, and fuzzy differential equations.

This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics.

Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics.

New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and : Shijun Liao.

used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ). Many of the examples presented in these notes may be found in this book.

The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena.

Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming.

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger.

Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. For example, + −.

For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation). However, systems of algebraic equations are more. Purchase Nonlinear Partial Differential Equations and Their Applications, Volume 31 - 1st Edition.

Print Book & E-Book. ISBNOn the other hand, nonlinear differential equations involve nonlinear terms in any of y, y′, y″, or higher order term. A nonlinear differential equation is generally more difficult to solve.

Existence and Uniqueness of Solutionsof Nonlinear Equations 55 Transformationof Nonlinear Equations intoSeparable Equations 63 Exact Equations 73 Integrating Factors 83 Chapter 3 Numerical Methods Euler’s Method 96 The Improved Euler Method and Related Methods The Runge-Kutta Method Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators.

Acting as a guide to nonlinear evolution equatio.It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.