Bloch Type Periodic Functions Theory And Applications To Evolution Equations PDF Download
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Author | : Yong-kui Chang |
Publisher | : World Scientific |
Total Pages | : 209 |
Release | : 2022-07-13 |
Genre | : Mathematics |
ISBN | : 9811254370 |
Download Bloch-type Periodic Functions: Theory And Applications To Evolution Equations Book in PDF, ePub and Kindle
This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.
Author | : Yong-Kui Chang |
Publisher | : World Scientific Publishing Company |
Total Pages | : 0 |
Release | : 2022 |
Genre | : Mathematics |
ISBN | : 9789811254352 |
Download Bloch-Type Periodic Functions: Theory and Applications to Evolution Equations Book in PDF, ePub and Kindle
This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.
Author | : Marko Kostić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 576 |
Release | : 2023-06-06 |
Genre | : Mathematics |
ISBN | : 3111233871 |
Download Metrical Almost Periodicity and Applications to Integro-Differential Equations Book in PDF, ePub and Kindle
Author | : Yuri A. Mitropolsky |
Publisher | : Springer Science & Business Media |
Total Pages | : 291 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 940112728X |
Download Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients Book in PDF, ePub and Kindle
Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.
Author | : Ferenc Szidarovszky |
Publisher | : World Scientific |
Total Pages | : 469 |
Release | : 2022-12-19 |
Genre | : Mathematics |
ISBN | : 9811256667 |
Download Introduction To Matrix Theory: With Applications In Economics And Engineering (Second Edition) Book in PDF, ePub and Kindle
Linear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.
Author | : Zhang Chuanyi |
Publisher | : Springer |
Total Pages | : 355 |
Release | : 2012-10-04 |
Genre | : Mathematics |
ISBN | : 9789401037822 |
Download Almost Periodic Type Functions and Ergodicity Book in PDF, ePub and Kindle
The theory of almost periodic functions was first developed by the Danish mathematician H. Bohr during 1925-1926. Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. V. Stepanov, N. N. Bogolyubov, and oth ers. Generalization of the classical theory of almost periodic functions has been taken in several directions. One direction is the broader study of functions of almost periodic type. Related this is the study of ergodic ity. It shows that the ergodicity plays an important part in the theories of function spectrum, semigroup of bounded linear operators, and dynamical systems. The purpose of this book is to develop a theory of almost pe riodic type functions and ergodicity with applications-in particular, to our interest-in the theory of differential equations, functional differen tial equations and abstract evolution equations. The author selects these topics because there have been many (excellent) books on almost periodic functions and relatively, few books on almost periodic type and ergodicity. The author also wishes to reflect new results in the book during recent years. The book consists of four chapters. In the first chapter, we present a basic theory of four almost periodic type functions. Section 1. 1 is about almost periodic functions. To make the reader easily learn the almost periodicity, we first discuss it in scalar case. After studying a classical theory for this case, we generalize it to finite dimensional vector-valued case, and finally, to Banach-valued (including Hilbert-valued) situation.
Author | : Toka Diagana |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : MATHEMATICS |
ISBN | : 9783030004507 |
Download Semilinear Evolution Equations and Their Applications Book in PDF, ePub and Kindle
This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.
Author | : Marko Kostić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 372 |
Release | : 2019-05-06 |
Genre | : Mathematics |
ISBN | : 3110641852 |
Download Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations Book in PDF, ePub and Kindle
This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.
Author | : D Daners |
Publisher | : Chapman and Hall/CRC |
Total Pages | : 268 |
Release | : 1992-12-29 |
Genre | : Mathematics |
ISBN | : |
Download Abstract Evolution Equations, Periodic Problems and Applications Book in PDF, ePub and Kindle
Part of the Pitman Research Notes in Mathematics series, this text covers: linear evolution equations of parabolic type; semilinear evolution equations of parabolic type; evolution equations and positivity; semilinear periodic evolution equations; and applications.
Author | : Gaston M. N'Guerekata |
Publisher | : |
Total Pages | : 208 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
Download Trends in Evolution Equation Research Book in PDF, ePub and Kindle
This book presents, recent and important research from around the world on the theory and methods of linear or non-linear evolution equations as well as their further applications. Equations dealing with the asymptotic behaviour of solutions to evolution equations are included. This book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.