Advances in Hamiltonian Systems
Author : Aubin
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 30,36 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 146846728X
Scientific and Technical Aerospace Reports
Author :
Publisher :
Page : 1148 pages
File Size : 42,84 MB
Release : 1985
Category : Aeronautics
ISBN :
Book Description
Index theory in nonlinear analysis
Author : Chungen Liu
Publisher : Springer
Page : 346 pages
File Size : 34,9 MB
Release : 2019-05-22
Category : Mathematics
ISBN : 981137287X
Book Description
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.
Nonlinear Functional Analysis and its Applications
Author : E. Zeidler
Publisher : Springer Science & Business Media
Page : 675 pages
File Size : 11,7 MB
Release : 2013-12-11
Category : Science
ISBN : 146125020X
Book Description
As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.
Morse Theory for Hamiltonian Systems
Author : Alberto Abbondandolo
Publisher : CRC Press
Page : 202 pages
File Size : 44,47 MB
Release : 2001-03-15
Category : Mathematics
ISBN : 1482285746
Book Description
This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and results that, until now, have appeared only in scattered journals
The Shock and Vibration Digest
Author :
Publisher :
Page : 660 pages
File Size : 26,95 MB
Release : 1980
Category : Shock (Mechanics)
ISBN :
Book Description
Proceedings of the Third International Conference on Computational Intelligence and Informatics
Author : K. Srujan Raju
Publisher : Springer Nature
Page : 881 pages
File Size : 20,22 MB
Release : 2020-03-17
Category : Technology & Engineering
ISBN : 9811514801
Book Description
This book features high-quality papers presented at the International Conference on Computational Intelligence and Informatics (ICCII 2018), which was held on 28–29 December 2018 at the Department of Computer Science and Engineering, JNTUH College of Engineering, Hyderabad, India. The papers focus on topics such as data mining, wireless sensor networks, parallel computing, image processing, network security, MANETS, natural language processing and Internet of things.
The Mathematical Heritage of Henri Poincare
Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 478 pages
File Size : 30,80 MB
Release : 1983-12-31
Category : Mathematics
ISBN : 0821814494
Book Description
On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg. If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated. This part contains sections on topological methods in nonlinear problems, mechanics and dynamical systems, ergodic theory and recurrence, and historical material.
More Progresses In Analysis - Proceedings Of The 5th International Isaac Congress
Author : Heinrich G W Begehr
Publisher : World Scientific
Page : 1497 pages
File Size : 42,95 MB
Release : 2009-05-12
Category : Mathematics
ISBN : 9814469688
Book Description
International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors.The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O Besov, V Burenkov and R P Gilbert on the occasion of their anniversaries.
Critical Point Theory
Author : Martin Schechter
Publisher : Springer Nature
Page : 347 pages
File Size : 28,65 MB
Release : 2020-05-30
Category : Mathematics
ISBN : 303045603X
Book Description
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.
