Información General

• Autores: Victor A. Sadovnichiy (ed. lit.), Mikhail Z. Zgurovsky (ed. lit.)
• Editores: Springer International Publishing AG
• Año de publicación: 2016
• País: Suiza
• Idioma: inglés
• ISBN: 978-3-319-40673-2
• Enlaces
  • Texto Completo Libro  1    2  

Resumen

• Focused on recent advances, this book covers theoretical foundations as well as various applications. It presents modern mathematical modeling approaches to the qualitative and numerical analysis of solutions for complex engineering problems in physics, mechanics, biochemistry, geophysics, biology and climatology. Contributions by an international team of respected authors bridge the gap between abstract mathematical approaches, such as applied methods of modern analysis, algebra, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems on the one hand, and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. As such, the book will be of interest to mathematicians and engineers working at the interface of these fields.

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Listado de artículos

• • Applied Methods of Modern Algebra and Analysis

    • Convergence Almost Everywhere of Orthorecursive Expansions in Functional Systems

      Vladimir V. Galatenko, Taras P. Lukashenko, Victor A. Sadovnichiy

      • Texto Completo Libro  1    2  

      págs. 3-11

      

    • Billiard Systems as the Models for the Rigid Body Dynamics

      Victoria V. Fokicheva, Anatoly T. Fomenko

      • Texto Completo Libro  1    2  

      págs. 13-33

      

    • Uniform Global Attractors for Nonautonomous Evolution Inclusions

      Mikhail Z. Zgurovsky, Pavlo O. Kasyanov

      • Texto Completo Libro  1    2  

      págs. 35-42

      

    • Minimal Networks: A Review

      Alexander O. Ivanov, Alexey A. Tuzhilin

      • Texto Completo Libro  1    2  

      págs. 43-80

      

    • Generalized Pisot Numbers and Matrix Decomposition

      Nikolai M. Dobrovol’skii, Nikolai N. Dobrovolsky, Irina N. Balaba, Irina Yu. Rebrova, Dmitrii K. Sobolev, Valentina N. Soboleva

      • Texto Completo Libro  1    2  

      págs. 81-140

      

    • On the Periodicity of Continued Fractions in Hyperelliptic Fields

      Gleb V. Fedorov

      • Texto Completo Libro  1    2  

      págs. 141-157

      

    • Method of Resolving Functions for the Differential-Difference Pursuit Game for Different-Inertia Objects

      Lesia V. Baranovska

      • Texto Completo Libro  1    2  

      págs. 159-176

      

  • Discrete and Continuous Dynamical Systems

    • Characterization of Pullback Attractors for Multivalued Nonautonomous Dynamical Systems

      Jacson Simsen, José Valero

      • Texto Completo Libro  1    2  

      págs. 179-195

      

    • Global Attractors for Discontinuous Dynamical Systems with Multi-valued Impulsive Perturbations

      Oleksiy V. Kapustyan, Iryna V. Romaniuk

      • Texto Completo Libro  1    2  

      págs. 197-210

      

    • A Random Model for Immune Response to Virus in Fluctuating Environments

      Yusuke Asai, Tomás Caraballo Garrido, Xiaoying Han, Peter E. Kloeden

      • Texto Completo Libro  1    2  

      págs. 211-225

      

    • Some Aspects Concerning the Dynamics of Stochastic Chemostats

      Tomás Caraballo Garrido, María José Garrido Atienza, Javier López de la Cruz

      • Texto Completo Libro  1    2  

      págs. 227-246

      

    • Higher-Order Allen–Cahn Models with Logarithmic Nonlinear Terms

      Laurence Cherfils, Alain Miranville, Shuiran Peng

      • Texto Completo Libro  1    2  

      págs. 247-263

      

    • Uniform Global Attractor for Nonautonomous Reaction–Diffusion Equations with Carathéodory’s Nonlinearity

      Nataliia V. Gorban, Liliia S. Paliichuk

      • Texto Completo Libro  1    2  

      págs. 265-272

      

    • Some Problems Connected with the Thue–Morse and Fibonacci Sequences

      Francisco Balibrea Gallego

      • Texto Completo Libro  1    2  

      págs. 273-293

      

    • Existence of Chaos in a Restricted Oligopoly Model with Investment Periods

      José Salvador Cánovas Peña

      • Texto Completo Libro  1    2  

      págs. 295-314

      

  • Fundamental and Computational Mechanics

    • Two Thermodynamic Laws as the Forth and the Fifth Integral Postulates of Continuum Mechanics

      Boris E. Pobedria, Dimitri V. Georgievskii

      • Texto Completo Libro  1    2  

      págs. 317-325

      

    • Flow Control Near a Square Prism with the Help of Frontal Flat Plates

      Iryna M. Gorban, Olha V. Khomenko

      • Texto Completo Libro  1    2  

      págs. 327-350

      

    • Long-Time Behavior of State Functions for Badyko Models

      Nataliia V. Gorban, Mark O. Gluzman, Pavlo O. Kasyanov, Alla M. Tkachuk

      • Texto Completo Libro  1    2  

      págs. 351-359

      

  • Optimization, Control and Decision Making

    • Adaptive Control of Impulse Processes in Complex Systems Cognitive Maps with Multirate Coordinates Sampling

      Mikhail Z. Zgurovsky, Victor D. Romanenko, Yuriy L. Milyavsky

      • Texto Completo Libro  1    2  

      págs. 363-374

      

    • Estimation of Consistency of Fuzzy Pairwise Comparison Matrices using a Defuzzification Method

      Nataliya D. Pankratova, Nadezhda I. Nedashkovskaya

      • Texto Completo Libro  1    2  

      págs. 375-386

      

    • Approximate Optimal Control for Parabolic–Hyperbolic Equations with Nonlocal Boundary Conditions and General Quadratic Quality Criterion

      Volodymyr O. Kapustyan, Ivan O. Pyshnograiev

      • Texto Completo Libro  1    2  

      págs. 387-401

      

    • On Approximate Regulator in Linear-Quadratic Problem with Distributed Control and Rapidly Oscillating Parameters

      Oleksiy V. Kapustyan, Alina V. Rusina

      • Texto Completo Libro  1    2  

      págs. 403-415

      

    • The Optimal Control Problem with Minimum Energy for One Nonlocal Distributed System

      Olena A. Kapustian, Oleg K. Mazur

      • Texto Completo Libro  1    2  

      págs. 417-427

      

    • Optimality Conditions for L1-Control in Coefficients of a Degenerate Nonlinear Elliptic Equation

      Peter I. Kogut, Olha P. Kupenko

      • Texto Completo Libro  1    2  

      págs. 429-471