Attractors Shadowing And Approximation Of Abstract Semilinear Differential Equations
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| Author | : Sergey I Piskarev |
| Publisher | : World Scientific |
| Total Pages | : 213 |
| Release | : 2023-07-05 |
| Genre | : Mathematics |
| ISBN | : 9811272794 |
The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal publications are systematized and collected together, which makes it convenient for the initial study of the subject and also for its use as a reference book. The presentation of the material is closed and accompanied by examples; this makes it easier to understand the material and helps beginners to quickly enter into the circle of ideas discussed.The book can be useful for specialists in partial differential equations, functional analysis, theory of approximation of differential equations, and for all researchers, students, and postgraduates who apply these branches of mathematics in their work.
| Author | : C.M. Dafermos |
| Publisher | : Elsevier |
| Total Pages | : 609 |
| Release | : 2008-10-06 |
| Genre | : Mathematics |
| ISBN | : 0080931979 |
The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE's, written by leading experts.- Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts
| Author | : |
| Publisher | : |
| Total Pages | : 752 |
| Release | : 2008 |
| Genre | : Dynamics |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 1884 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Bernold Fiedler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 816 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642565891 |
Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.
| Author | : Andrew Stuart |
| Publisher | : Cambridge University Press |
| Total Pages | : 708 |
| Release | : 1998-11-28 |
| Genre | : Mathematics |
| ISBN | : 9780521645638 |
The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.
| Author | : Victor Guillemin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 500 |
| Release | : 1990 |
| Genre | : Mathematics |
| ISBN | : 0821816330 |
Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
| Author | : James C. Robinson |
| Publisher | : Cambridge University Press |
| Total Pages | : 488 |
| Release | : 2001-04-23 |
| Genre | : Mathematics |
| ISBN | : 9780521632041 |
This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.
| Author | : Peter E. Kloeden |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 2011-08-17 |
| Genre | : Mathematics |
| ISBN | : 0821868713 |
The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.
| Author | : J.C. Rosales |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 186 |
| Release | : 2009-12-24 |
| Genre | : Mathematics |
| ISBN | : 1441901604 |
"Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.
