عنوان

Critical Point Theory and Hamiltonian Systems /

شابک

1475720610

شابک

9781475720617

شابک اشتباه

1441930892

شابک اشتباه

1475720610

شابک اشتباه

9781441930897

شماره

b778791

عنوان اصلي

Critical Point Theory and Hamiltonian Systems /

نام عام مواد

[Book]

نام نخستين پديدآور

by Jean Mawhin, Michel Willem.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Springer New York,

تاریخ نشرو بخش و غیره

1989.

نام خاص و کميت اثر

1 online resource (xiv, 278 pages)

عنوان فروست

Applied Mathematical Sciences,

مشخصه جلد

74

شاپا ي ISSN فروست

0066-5452 ;

متن يادداشت

1 The Direct Method of the Calculus of Variations -- 2 The Fenchel Transform and Duality -- 3 Minimization of the Dual Action -- 4 Minimax Theorems for Indefinite Functional -- 5 A Borsuk-Ulam Theorem and Index Theories -- 6 Lusternik-Schnirelman Theory and Multiple Periodic Solutions with Fixed Energy -- 7 Morse-Ekeland Index and Multiple Periodic Solutions with Fixed Period -- 8 Morse Theory -- 9 Applications of Morse Theory to Second Order Systems -- 10 Nondegenerate Critical Manifolds.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9781441930897

موضوع مستند نشده

Physics.

موضوع مستند نشده

Physics.

موضوع مستند نشده

PHU

موضوع مستند نشده

SCI040000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Mawhin, Jean.

مستند نام اشخاص تاييد نشده

Willem, Michel.

تاريخ عمليات

20201203123534.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y