Symplectic Difference Systems Oscillation And Spectral Theory

Author : Ondřej Došlý
Publisher : Springer Nature
ISBN 13 : 303019373X
Total Pages : 593 pages
Book Rating : 4.37/5 ( download)

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Download or read book Symplectic Difference Systems: Oscillation and Spectral Theory written by Ondřej Došlý and published by Springer Nature. This book was released on 2019-09-06 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics.

Author : Martin Bohner
Publisher : Springer
ISBN 13 : 3319247476
Total Pages : 201 pages
Book Rating : 4.72/5 ( download)

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Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Martin Bohner and published by Springer. This book was released on 2015-12-01 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering. The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences (Hubei, China), under the auspices of the International Society of Difference Equations (ISDE) in July 2014. Its purpose was to bring together renowned researchers working actively in the respective fields, to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. This book will appeal to researchers and scientists working in the fields of difference equations, discrete dynamical systems and their applications.

Author : Nora Doll
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111172473
Total Pages : 460 pages
Book Rating : 4.77/5 ( download)

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Download or read book Spectral Flow written by Nora Doll and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-19 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Russell Johnson
Publisher : Springer
ISBN 13 : 3319290258
Total Pages : 515 pages
Book Rating : 4.56/5 ( download)

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Download or read book Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control written by Russell Johnson and published by Springer. This book was released on 2016-03-25 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains extensions of results which are well known when the coefficients are autonomous or periodic, as well as in the nonautonomous two-dimensional case. However, a substantial part of the theory presented here is new even in those much simpler situations. The authors make systematic use of basic facts concerning Lagrange planes and symplectic matrices, and apply some fundamental methods of topological dynamics and ergodic theory. Among the tools used in the analysis, which include Lyapunov exponents, Weyl matrices, exponential dichotomy, and weak disconjugacy, a fundamental role is played by the rotation number for linear Hamiltonian systems of general dimension. The properties of all these objects form the basis for the study of several themes concerning linear-quadratic control problems, including the linear regulator property, the Kalman-Bucy filter, the infinite-horizon optimization problem, the nonautonomous version of the Yakubovich Frequency Theorem, and dissipativity in the Willems sense. The book will be useful for graduate students and researchers interested in nonautonomous differential equations; dynamical systems and ergodic theory; spectral theory of differential operators; and control theory.

Author : Sorin Olaru
Publisher : Springer Nature
ISBN 13 : 3031510496
Total Pages : 423 pages
Book Rating : 4.96/5 ( download)

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Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Sorin Olaru and published by Springer Nature. This book was released on with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sandra Pinelas
Publisher : Springer
ISBN 13 : 3319328573
Total Pages : 451 pages
Book Rating : 4.77/5 ( download)

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Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer. This book was released on 2016-09-02 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.

Author : Alberto Parmeggiani
Publisher : Springer
ISBN 13 : 3642119220
Total Pages : 260 pages
Book Rating : 4.24/5 ( download)

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Download or read book Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction written by Alberto Parmeggiani and published by Springer. This book was released on 2010-07-23 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003–2007) “Development of Dynamical Mathematics with High Fu- tionality” (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program “DMHF”, Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x,?)-variables, (x,?)? R×R,and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Author : Steve Baigent
Publisher : Springer Nature
ISBN 13 : 3030601072
Total Pages : 440 pages
Book Rating : 4.72/5 ( download)

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Download or read book Progress on Difference Equations and Discrete Dynamical Systems written by Steve Baigent and published by Springer Nature. This book was released on 2021-01-04 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.

Author : Saber N Elaydi
Publisher : World Scientific
ISBN 13 : 9814466654
Total Pages : 438 pages
Book Rating : 4.53/5 ( download)

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Download or read book Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications written by Saber N Elaydi and published by World Scientific. This book was released on 2010-11-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal.The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490108440
Total Pages : 687 pages
Book Rating : 4.45/5 ( download)

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Download or read book Issues in Algebra, Geometry, and Topology: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Algebra, Geometry, and Topology / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Topology. The editors have built Issues in Algebra, Geometry, and Topology: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Topology in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2013 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/.