Essays in Mathematics and its Applications: In Honor of Vladimir Arnold

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Themistocles M. Rassias, Panos M. Pardalos
Springer, Jun 14, 2016 - Mathematics - 663 pages
This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.
 

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Contents

A New Way to Compute the Rodrigues Coefficients of Functions of the Lie Groups of Matrices
1
Quasimodes in Integrable Systems and SemiClassical Limit
25
Manifolds Which Are Complex and Symplectic But Not Kähler
49
Solvability of a Nonclamped Frictional Contact Problem with Adhesion
70
The KolmogorovArnoldMoser KAM and Nekhoroshev Theorems with Arbitrary Time Dependence
89
Iterative Methods for the Elastography Inverse Problem of Locating Tumors
100
Transversality Theory with Applications to Differential Equations
133
Latticelike Subsets of Euclidean Jordan Algebras
158
Some Generalizations of FixedPoint Theorems on SMetric Spaces
229
Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces
263
The Maslov Index in PDEs Geometry
311
On the Infimum of Certain Functionals
360
Cayleys Theorem Lagranges Theorem and Isomorphism Theorems
369
Mild Continuity Properties of Relations and Relators in Relator Spaces
438
Contraction Maps in Pseudometric Structures
513
Novel Tools to Determine Hyperbolic Triangle Centers
563

Searching for Analogues of Hurwitzs Theorem
181
On the Fixed Points of a Hamiltonian Diffeomorphism in Presence of Fundamental Group
198

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About the author (2016)

Themistocles M. Rassias is a Professor of Mathematics at National Technical University of Athens. He holds a PhD in Mathematics from the University of California, Berkeley, and has published over fifty books and nearly three hundred journal articles.
Panos M. Pardalos serves as Distinguished Professor of Industrial and Systems Engineering at the University of Florida, as well as the Director of the Center for Applied Optimization. He holds a PhD in Computer and Information Sciences from the University of Minnesota, Minneapolis, and has published nearly twenty books and over four hundred papers.

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