Essays in Mathematics and its Applications

In Honor of Vladimir Arnold

  • Themistocles M. Rassias
  • Panos M. Pardalos

Table of contents

  1. Front Matter
    Pages i-viii
  2. Giovanni Bazzoni, Vicente Muñoz
    Pages 49-69
  3. B. Jadamba, A. A. Khan, F. Raciti, C. Tammer, B. Winkler
    Pages 101-131
  4. Dumitru Motreanu, Viorica Venera Motreanu
    Pages 133-157
  5. A. B. Németh, S. Z. Németh
    Pages 159-179
  6. Nihal Yılmaz Özgür, Nihal Taş
    Pages 229-261
  7. Choonkil Park, Jung Rye Lee, Themistocles M. Rassias
    Pages 263-310
  8. Agostino Prástaro
    Pages 311-359
  9. Biagio Ricceri
    Pages 361-367
  10. Mihai Turinici
    Pages 513-562
  11. Abraham Albert Ungar
    Pages 563-663

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.


algebraic and differential topology classical mechanics nonlinear mathematics singularity theory stability of integrable systems Arnold conjecture Floer chain complex homology with local coefficients fundamental group augmentation ideal exponential map Rodrigues coefficients Cayley transform Rodrigues formula extended lattice operations variational inequalities positive semidefinite cone generalized uniformities mildly continuous relations

Editors and affiliations

  • Themistocles M. Rassias
    • 1
  • Panos M. Pardalos
    • 2
  1. 1.Department of MathematicsNational Technical Unversity of AthensAthensGreece
  2. 2.University of FloridaGAINESVILLEUSA

Bibliographic information