The Stability Of Dynamical Systems Appendix A Limiting Equations And Stability Of Nonautonomous Ordinary Differential Equations Z Artstein
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The Stability Of Dynamical Systems
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Author : J. P. LaSalle
language : en
Publisher: SIAM
Release Date : 1976-01-01
The Stability Of Dynamical Systems written by J. P. LaSalle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.
An introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations.
Stability Of Motion Of Nonautonomous Systems Methods Of Limiting Equations
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Author : Junji Kato
language : en
Publisher: Routledge
Release Date : 2019-09-09
Stability Of Motion Of Nonautonomous Systems Methods Of Limiting Equations written by Junji Kato and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-09 with Mathematics categories.
Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
Applied Nonautonomous And Random Dynamical Systems
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Author : Tomás Caraballo
language : en
Publisher: Springer
Release Date : 2017-01-31
Applied Nonautonomous And Random Dynamical Systems written by Tomás Caraballo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Mathematics categories.
This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.
Feasible Computations And Provable Complexity Properties
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Author : Juris Hartmanis
language : en
Publisher: SIAM
Release Date : 1978-01-01
Feasible Computations And Provable Complexity Properties written by Juris Hartmanis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.
An overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations. The author begins by defining and discussing efficient reductions between problems and considers the families and corresponding complete languages of NL, DCSL, CSL, P, NP, PTAPE, EXPTIME, and EXPTAPE. Definitions and results are uniformly extended to computationally simpler natural families of languages such as NL, P, and CSL by using Log n-tape bounded reductions. The problem of determining what can and cannot be formally proven about running times of algorithms is discussed and related to the problem of establishing sharp time bounds for one-tape Turing machine computations, and the inability to formally prove running times for algorithms is then related to the presence of gaps in the hierarchy of complexity classes. The concluding discussion is on the possibility that the famous P=NP? problem is independent of the axioms of formal mathematical systems such as set theory.
Bayesian Statistics A Review
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Author : D. V. Lindley
language : en
Publisher: SIAM
Release Date : 1972-01-31
Bayesian Statistics A Review written by D. V. Lindley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-01-31 with Mathematics categories.
A study of those statistical ideas that use a probability distribution over parameter space. The first part describes the axiomatic basis in the concept of coherence and the implications of this for sampling theory statistics. The second part discusses the use of Bayesian ideas in many branches of statistics.
Multivariate Splines
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Author : Charles K. Chui
language : en
Publisher: SIAM
Release Date : 1988-01-01
Multivariate Splines written by Charles K. Chui and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
Subject of multivariate splines presented from an elementary point of view; includes many open problems.
Cardinal Spline Interpolation
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Author : I. J. Schoenberg
language : en
Publisher: SIAM
Release Date : 1973-01-01
Cardinal Spline Interpolation written by I. J. Schoenberg and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Mathematics categories.
In this book the author explains cardinal spline functions, the basic properties of B-splines and exponential Euler splines.
Numerical Solution Of Two Point Boundary Value Problems
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Author : Herbert B. Keller
language : en
Publisher: SIAM
Release Date : 1976-01-01
Numerical Solution Of Two Point Boundary Value Problems written by Herbert B. Keller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.
Lectures on a unified theory of and practical procedures for the numerical solution of two point boundary-value problems.
Scientific Computation On Mathematical Problems And Conjectures
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Author : Richard S. Varga
language : en
Publisher: SIAM
Release Date : 1990-01-01
Scientific Computation On Mathematical Problems And Conjectures written by Richard S. Varga and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.
This book studies the use of scientific computation as a tool in attacking a number of mathematical problems and conjectures. In this case, scientific computation refers primarily to computations that are carried out with a large number of significant digits, for calculations associated with a variety of numerical techniques such as the (second) Remez algorithm in polynomial and rational approximation theory, Richardson extrapolation of sequences of numbers, the accurate finding of zeros of polynomials of large degree, and the numerical approximation of integrals by quadrature techniques. The goal of this book is not to delve into the specialized field dealing with the creation of robust and reliable software needed to implement these high-precision calculations, but rather to emphasize the enormous power that existing software brings to the mathematician's arsenal of weapons for attacking mathematical problems and conjectures.
Mathematical Aspects Of Geometric Modeling
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Author : Charles A. Micchelli
language : en
Publisher: SIAM
Release Date : 1995-01-01
Mathematical Aspects Of Geometric Modeling written by Charles A. Micchelli and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
Examines concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies them.