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.
Inhaltsverzeichnis
A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender).- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti).- Manifolds which are complex and symplectic but not Kahler (G. Bazzoni, V. Munoz).- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja).- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wiggins).- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler).- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu).- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth).- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak).- On the fixed points of a Hamiltonian diffeomorphism in presence of fundamental group (K. Ono, A. Pajitnov).- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas).- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias).- The Maslov Index in PDEs Geometry (A. Prastaro).- On the infimum of certain functionals (B. Ricceri).- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran).- Mild continuity properties of relations and relators in relator spaces (A. Szaz, A. Zakaria).- Contraction Maps in Pseudometric Structures (M. Turinici).- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar).
Über den Autor
Themistocles M. Rassias is a Professor of Mathematics at National Technical University of Athens. He holds a Ph D 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 Ph D 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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