Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
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| Author | : Anatoliy M Samoilenko |
| Publisher | : World Scientific |
| Total Pages | : 408 |
| Release | : 2013-05-03 |
| Genre | : Mathematics |
| ISBN | : 9814434841 |
Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems.The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.
| Author | : Anatoly M. Samoilenko |
| Publisher | : World Scientific |
| Total Pages | : 408 |
| Release | : 2013 |
| Genre | : Mathematics |
| ISBN | : 9814434833 |
Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.
| Author | : Michel Krizek |
| Publisher | : Routledge |
| Total Pages | : 368 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351448617 |
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
| Author | : Marko Kostić |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 576 |
| Release | : 2023-06-06 |
| Genre | : Mathematics |
| ISBN | : 3111233871 |
| Author | : Bangti Jin |
| Publisher | : Springer Nature |
| Total Pages | : 428 |
| Release | : 2023-02-26 |
| Genre | : Mathematics |
| ISBN | : 3031210506 |
This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.
| Author | : |
| Publisher | : ScholarlyEditions |
| Total Pages | : 316 |
| Release | : 2012-01-09 |
| Genre | : Mathematics |
| ISBN | : 1464966931 |
Issues in Mathematical Theory and Modeling / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Mathematical Theory and Modeling. The editors have built Issues in Mathematical Theory and Modeling: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Theory and Modeling in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mathematical Theory and Modeling: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
| Author | : Xiao-qi Yang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 468 |
| Release | : 2001-04-30 |
| Genre | : Computers |
| ISBN | : 9780792368663 |
This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.
| Author | : Carmen Chicone |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 375 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821811851 |
The main theme of the book is the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic dynamical systems and J. Howland on nonautonomous Cauchy problems. The authors use a wide range of methods and offer a unique presentation. The authors give a unifying approach for a study of infinite-dimensional nonautonomous problems, which is based on the consistent use of evolution semigroups. This unifying idea connects various questions in stability of semigroups, infinite-dimensional hyperbolic linear skew-product flows, translation Banach algebras, transfer operators, stability radii in control theory, Lyapunov exponents, magneto-dynamics and hydro-dynamics. Thus the book is much broader in scope than existing books on asymptotic behavior of semigroups. Included is a solid collection of examples from different areas of analysis, PDEs, and dynamical systems. This is the first monograph where the spectral theory of infinite dimensional linear skew-product flows is described together with its connection to the multiplicative ergodic theorem; the same technique is used to study evolution semigroups, kinematic dynamos, and Ruelle operators; the theory of stability radii, an important concept in control theory, is also presented. Examples are included and non-traditional applications are provided.
| Author | : Gisele Ruiz Goldstein |
| Publisher | : CRC Press |
| Total Pages | : 439 |
| Release | : 2019-04-24 |
| Genre | : Mathematics |
| ISBN | : 1482275953 |
Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li
| Author | : Vidar Thomée |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 320 |
| Release | : 2010 |
| Genre | : |
| ISBN | : 9783540632368 |
