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Essays in Mathematics and its Applications

In Honor of Vladimir Arnold

  • Book
  • © 2016

Overview

Editors:
  1. Themistocles M. Rassias

    1. Department of Mathematics, National Technical Unversity of Athens, Athens, Greece

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  2. Panos M. Pardalos

    1. University of Florida, GAINESVILLE, USA

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  • Contains contributions from leading experts in nonlinear mathematics

  • Features a wide variety of topics that will attract a diverse readership

  • Unifies several theories and methods

  • Includes supplementary material: sn.pub/extras

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-viii
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  2. A New Way to Compute the Rodrigues Coefficients of Functions of the Lie Groups of Matrices

    • Dorin Andrica, Oana Liliana Chender
    Pages 1-24

  3. Quasimodes in Integrable Systems and Semi-Classical Limit

    • M. Baldo, F. Raciti
    Pages 25-47

  4. Manifolds Which Are Complex and Symplectic But Not Kähler

    • Giovanni Bazzoni, Vicente Muñoz
    Pages 49-69

  5. Solvability of a Nonclamped Frictional Contact Problem with Adhesion

    • O. Chau, D. Goeleven, R. Oujja
    Pages 71-87

  6. The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence

    • Alessandro Fortunati, Stephen Wiggins
    Pages 89-99

  7. Iterative Methods for the Elastography Inverse Problem of Locating Tumors

    • B. Jadamba, A. A. Khan, F. Raciti, C. Tammer, B. Winkler
    Pages 101-131

  8. Transversality Theory with Applications to Differential Equations

    • Dumitru Motreanu, Viorica Venera Motreanu
    Pages 133-157

  9. Lattice-like Subsets of Euclidean Jordan Algebras

    • A. B. Németh, S. Z. Németh
    Pages 159-179

  10. Simultaneous Diophantine Approximation: Searching for Analogues of Hurwitz’s Theorem

    • Werner Georg Nowak
    Pages 181-197

  11. On the Fixed Points of a Hamiltonian Diffeomorphism in Presence of Fundamental Group

    • Kaoru Ono, Andrei Pajitnov
    Pages 199-228

  12. Some Generalizations of Fixed-Point Theorems on S-Metric Spaces

    • Nihal Yılmaz Özgür, Nihal Taş
    Pages 229-261

  13. Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

    • Choonkil Park, Jung Rye Lee, Themistocles M. Rassias
    Pages 263-310

  14. The Maslov Index in PDEs Geometry

    • Agostino Prástaro
    Pages 311-359

  15. On the Infimum of Certain Functionals

    • Biagio Ricceri
    Pages 361-367

  16. The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems

    • Teerapong Suksumran
    Pages 369-437

  17. Mild Continuity Properties of Relations and Relators in Relator Spaces

    • Árpád Száz, Amr Zakaria
    Pages 439-511

  18. Contraction Maps in Pseudometric Structures

    • Mihai Turinici
    Pages 513-562

  19. Novel Tools to Determine Hyperbolic Triangle Centers

    • Abraham Albert Ungar
    Pages 563-663
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, National Technical Unversity of Athens, Athens, Greece

    Themistocles M. Rassias

  • University of Florida, GAINESVILLE, USA

    Panos M. Pardalos

About the editors

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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