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The Topology Of The Calculus Of Variations In The Large by L A. Ljusternik



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About this book :-
This text investigate the homological properties of functional spaces in connection with the estimation of the number of solutions of the corresponding variational problems. These properties are closely related, on the one hand, to previous work of Moscow mathematicians on topological methods in variational problems, and on the other hand to the investigations of the Moscow topological school on the homology theory of abstract spaces. In a certain sense this paper constitutes a synthesis of both directions of the Moscow topological school.

Book Detail :-
This book has following details information.
Title: The Topology Of The Calculus Of Variations In The Large by L A. Ljusternik
Publisher: Israel Program
Year: 1966
Pages: 113
Type: PDF
Language: English
ISBN-10 #: 0706511360
ISBN-13 #: 978-0706511369
License: N\A
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About Author :-
The author NA NA

Book Contents :-
This book has following table of contents.
1. General Principles of the Calculus of Variations in the Large 2. Application to non Linear Integral Equations 3. Critical Sets of Geodesic Curves 4. The Functional Space R of Curves with Common Endpoints on the Sphere 5. Closed Geodesics on Manifolds Homeomorphic to the n-Dimensional Sphere

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