Continuous and Distributed Aystems : Theory and Applications
- Responsibility
- Mikhail Z. Zgurovsky, Victor A. Sadovnichiy, Editors.
- Digital
- text file; PDF
- Publication
- Cham ; New York : Springer, [2014]
- Copyright notice
- ©2014
- Physical description
- 1 online resource (334 pages)
- Series
- Solid mechanics and its applications ; v. 211. 2214-7764
Online
Available online
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Description
Creators/Contributors
Contents/Summary
- Bibliography
- Includes bibliographical references and index.
- Contents
-
- Part I. Abstract Algebra and Applications
- Algebra and Geometry Through Hamiltonian Systems / Anatoly T. Fomenko and Andrei Konyaev
- On Hyperbolic Zeta Function of Lattices / L.P. Dobrovolskaya, M.N. Dobrovolsky, N.M. Dobrovol'skii and N.N. Dobrovolsky
- The Distribution of Values of Arithmetic Functions / G.V. Fedorov
- On the One Method of Constructing Digital Control System with Minimal Structure / V.V. Palin
- On Norm Maps and "Universal Norms" of Formal Groups Over Integer Rings of Local Fields / Nikolaj M. Glazunov
- Assignment of Factors Levels for Design of Experiments with Resource Constraints / S.A. Smirnov, O.O. Glushchenko, K.A. Ilchuk, I.L. Makeenko and N.A. Oriekhova
- Part II. Mechanics and Numerical Methods
- How to Formulate the Initial-Boundary-Value Problem of Elastodynamics in Terms of Stresses? / D.V. Georgievskii
- Finite-Difference Method of Solution of the Shallow Water Equations on an Unstructured Mesh / G.M. Kobelkov and A.V. Drutsa
- Dynamics of Vortices in Near-Wall Flows with Irregular Boundaries / I.M. Gorban and O.V. Khomenko
- Strongly Convergent Algorithms for Variational Inequality Problem Over the Set of Solutions the Equilibrium Problems / Vladimir V. Semenov
- Part III. Long-time Forecasting in Multidisciplinary Investigations
- Multivalued Dynamics of Solutions for Autonomous Operator Differential Equations in Strongest Topologies / Mikhail Z. Zgurovsky and Pavlo O. Kasyanov
- Structure of Uniform Global Attractor for General Non-Autonomous Reaction-Diffusion System / Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero and Mikhail Z. Zgurovsky
- Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations / Pavlo O. Kasyanov, Luisa Toscano and Nina V. Zadoianchuk
- Inertial Manifolds and Spectral Gap Properties for Wave Equations with Weak and Strong Dissipation / Natalia Chalkina
- On Regularity of All Weak Solutions and Their Attractors for Reaction-Diffusion Inclusion in Unbounded Domain / Nataliia V. Gorban and Pavlo O. Kasyanov
- On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity / Nataliia V. Gorban, Oleksiy V. Kapustyan, Pavlo O. Kasyanov and Liliia S. Paliichuk
- Part IV. Control Theory and Decision Making
- On the Regularities of Mass Random Phenomena / Victor I. Ivanenko and Valery A. Labkovsky
- Optimality Conditions for Partially Observable Markov Decision Processes / Eugene A. Feinberg, Pavlo O. Kasyanov and Mikhail Z. Zgurovsky
- On Existence of Optimal Solutions to Boundary Control Problem for an Elastic Body with Quasistatic Evolution of Damage / Peter I. Kogut and Günter Leugering
- On Existence and Attainability of Solutions to Optimal Control Problems in Coefficients for Degenerate Variational Inequalities of Monotone Type / Olga P. Kupenko
- Distributed Optimal Control in One Non-Self-Adjoint Boundary Value Problem / V.O. Kapustyan, O.A. Kapustian and O.K. Mazur
- Guaranteed Safety Operation of Complex Engineering Systems / Nataliya D. Pankratova and Andrii M. Raduk.
- Summary
- This volume closes the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other.
Subjects
Bibliographic information
- Publication date
- 2014
- Copyright date
- 2014
- Series
- Solid mechanics and its applications, 2214-7764 ; v. 211
- ISBN
- 9783319031460 (electronic bk.)
- 3319031465 (electronic bk.)
- 3319031457
- 9783319031453
- 9783319031453
- DOI
- 10.1007/978-3-319-03146-0
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