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Morse Theory Cesari Method And Asymptotically Linear Hamiltonian Systems

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Morse Theory Cesari Method And Asymptotically Linear Hamiltonian Systems

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Author : S. B. Tshinanga
language : en
Publisher:
Release Date : 1984

Morse Theory Cesari Method And Asymptotically Linear Hamiltonian Systems written by S. B. Tshinanga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.

Critical Point Theory And Hamiltonian Systems

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Author : Jean Mawhin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Critical Point Theory And Hamiltonian Systems written by Jean Mawhin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

FACHGEB The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds. Each technique is illustrated by applications to the discussion of the existence, multiplicity, and bifurcation of the periodic solutions of Hamiltonian systems. Among the treated questions are the periodic solutions with fixed period or fixed energy of autonomous systems, the existence of subharmonics in the non-autonomous case, the asymptotically linear Hamiltonian systems, free and forced superlinear problems. Application of those results to the equations of mechanical pendulum, to Josephson systems of solid state physics and to questions from celestial mechanics are given. The aim of the book is to introduce a reader familiar to more classical techniques of ordinary differential equations to the powerful approach of modern critical point theory. The style of the exposition has been adapted to this goal. The new topological tools are introduced in a progressive but detailed way and immediately applied to differential equation problems. The abstract tools can also be applied to partial differential equations and the reader will also find the basic references in this direction in the bibliography of more than 500 items which concludes the book. ERSCHEIN

Nonuniform Conditions For Periodic Solutions Of Forced Li Nard Systems With Distinct Delays

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Author : G. Conti (mathematician.)
language : en
Publisher:
Release Date : 1982

Nonuniform Conditions For Periodic Solutions Of Forced Li Nard Systems With Distinct Delays written by G. Conti (mathematician.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

The Mathematical Heritage Of Henri Poincare

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Author : Felix E. Browder
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31

The Mathematical Heritage Of Henri Poincare written by Felix E. Browder and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-12-31 with Mathematics categories.

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.

Bollettino Della Unione Matematica Italiana

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Author :
language : en
Publisher:
Release Date : 1984

Bollettino Della Unione Matematica Italiana written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Analytic functions categories.

Trends In Theory And Practice Of Nonlinear Differential Equations

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Author : V. Lakshmikantham
language : en
Publisher: CRC Press
Release Date : 2020-12-17

Trends In Theory And Practice Of Nonlinear Differential Equations written by V. Lakshmikantham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.

This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends in theory and practice of nonlinear differential equations.