Continuous and Distributed Systems

Theory and Applications

Editors:

ISBN: 978-3-319-03145-3 (Print) 978-3-319-03146-0 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xix

  2. Abstract Algebra and Applications

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-21

      Algebra and Geometry Through Hamiltonian Systems

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      Book Chapter

      Pages 23-62

      On Hyperbolic Zeta Function of Lattices

    4. No Access

      Book Chapter

      Pages 63-66

      The Distribution of Values of Arithmetic Functions

    5. No Access

      Book Chapter

      Pages 67-71

      On the One Method of Constructing Digital Control System with Minimal Structure

    6. No Access

      Book Chapter

      Pages 73-80

      On Norm Maps and “Universal Norms” of Formal Groups Over Integer Rings of Local Fields

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      Book Chapter

      Pages 81-86

      Assignment of Factors Levels for Design of Experiments with Resource Constraints

  3. Mechanics and Numerical Methods

    1. Front Matter

      Pages 87-87

    2. No Access

      Book Chapter

      Pages 89-95

      How to Formulate the Initial-Boundary-Value Problem of Elastodynamics in Terms of Stresses?

    3. No Access

      Book Chapter

      Pages 97-113

      Finite-Difference Method of Solution of the Shallow Water Equations on an Unstructured Mesh

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      Book Chapter

      Pages 115-129

      Dynamics of Vortices in Near-Wall Flows with Irregular Boundaries

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      Book Chapter

      Pages 131-146

      Strongly Convergent Algorithms for Variational Inequality Problem Over the Set of Solutions the Equilibrium Problems

  4. Long-time Forecasting in Multidisciplinary Investigations

    1. Front Matter

      Pages 147-147

    2. No Access

      Book Chapter

      Pages 149-162

      Multivalued Dynamics of Solutions for Autonomous Operator Differential Equations in Strongest Topologies

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      Book Chapter

      Pages 163-180

      Structure of Uniform Global Attractor for General Non-Autonomous Reaction-Diffusion System

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      Book Chapter

      Pages 181-187

      Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

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      Book Chapter

      Pages 189-203

      Inertial Manifolds and Spectral Gap Properties for Wave Equations with Weak and Strong Dissipation

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      Book Chapter

      Pages 205-220

      On Regularity of All Weak Solutions and Their Attractors for Reaction-Diffusion Inclusion in Unbounded Domain

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      Book Chapter

      Pages 221-237

      On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity

  5. Control Theory and Decision Making

    1. Front Matter

      Pages 239-239

    2. No Access

      Book Chapter

      Pages 241-250

      On the Regularities of Mass Random Phenomena

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      Book Chapter

      Pages 251-264

      Optimality Conditions for Partially Observable Markov Decision Processes

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      Book Chapter

      Pages 265-286

      On Existence of Optimal Solutions to Boundary Control Problem for an Elastic Body with Quasistatic Evolution of Damage

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      Book Chapter

      Pages 287-301

      On Existence and Attainability of Solutions to Optimal Control Problems in Coefficients for Degenerate Variational Inequalities of Monotone Type

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