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Über dieses Buch

In this volume, the authors close 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.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in hydromechanics, geophysics and mechanics of continua. This compilation will be of interest to mathematicians and engineers working at the interface of these field. It presents selected works of the open seminar series of Lomonosov Moscow State University and the National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Germany, Italy, Spain, Russia, Ukraine, and the USA.



Abstract Algebra and Applications


2014 | OriginalPaper | Buchkapitel

Chapter 1. Algebra and Geometry Through Hamiltonian Systems

Anatoly T. Fomenko, Andrei Konyaev

2014 | OriginalPaper | Buchkapitel

Chapter 2. On Hyperbolic Zeta Function of Lattices

L. P. Dobrovolskaya, M. N. Dobrovolsky, N. M. Dobrovol’skii, N. N. Dobrovolsky

2014 | OriginalPaper | Buchkapitel

Chapter 3. The Distribution of Values of Arithmetic Functions

G. V. Fedorov

2014 | OriginalPaper | Buchkapitel

Chapter 4. On the One Method of Constructing Digital Control System with Minimal Structure

V. V. Palin

2014 | OriginalPaper | Buchkapitel

Chapter 5. On Norm Maps and “Universal Norms” of Formal Groups Over Integer Rings of Local Fields

Nikolaj M. Glazunov

2014 | OriginalPaper | Buchkapitel

Chapter 6. Assignment of Factors Levels for Design of Experiments with Resource Constraints

S. A. Smirnov, O. O. Glushchenko, K. A. Ilchuk, I. L. Makeenko, N. A. Oriekhova

Mechanics and Numerical Methods


2014 | OriginalPaper | Buchkapitel

Chapter 7. How to Formulate the Initial-Boundary-Value Problem of Elastodynamics in Terms of Stresses?

D. V. Georgievskii

2014 | OriginalPaper | Buchkapitel

Chapter 8. Finite-Difference Method of Solution of the Shallow Water Equations on an Unstructured Mesh

G. M. Kobelkov, A. V. Drutsa

2014 | OriginalPaper | Buchkapitel

Chapter 9. Dynamics of Vortices in Near-Wall Flows with Irregular Boundaries

I. M. Gorban, O. V. Khomenko

2014 | OriginalPaper | Buchkapitel

Chapter 10. Strongly Convergent Algorithms for Variational Inequality Problem Over the Set of Solutions the Equilibrium Problems

Vladimir V. Semenov

Long-time Forecasting in Multidisciplinary Investigations


2014 | OriginalPaper | Buchkapitel

Chapter 11. Multivalued Dynamics of Solutions for Autonomous Operator Differential Equations in Strongest Topologies

Mikhail Z. Zgurovsky, Pavlo O. Kasyanov

2014 | OriginalPaper | Buchkapitel

Chapter 12. Structure of Uniform Global Attractor for General Non-Autonomous Reaction-Diffusion System

Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero, Mikhail Z. Zgurovsky

2014 | OriginalPaper | Buchkapitel

Chapter 13. Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk

2014 | OriginalPaper | Buchkapitel

Chapter 14. Inertial Manifolds and Spectral Gap Properties for Wave Equations with Weak and Strong Dissipation

Natalia Chalkina

2014 | OriginalPaper | Buchkapitel

Chapter 15. On Regularity of All Weak Solutions and Their Attractors for Reaction-Diffusion Inclusion in Unbounded Domain

Nataliia V. Gorban, Pavlo O. Kasyanov

2014 | OriginalPaper | Buchkapitel

Chapter 16. On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity

Nataliia V. Gorban, Oleksiy V. Kapustyan, Pavlo O. Kasyanov, Liliia S. Paliichuk

Control Theory and Decision Making


2014 | OriginalPaper | Buchkapitel

Chapter 17. On the Regularities of Mass Random Phenomena

Victor I. Ivanenko, Valery A. Labkovsky

2014 | OriginalPaper | Buchkapitel

Chapter 18. Optimality Conditions for Partially Observable Markov Decision Processes

Eugene A. Feinberg, Pavlo O. Kasyanov, Mikhail Z. Zgurovsky

2014 | OriginalPaper | Buchkapitel

Chapter 19. On Existence of Optimal Solutions to Boundary Control Problem for an Elastic Body with Quasistatic Evolution of Damage

Peter I. Kogut, Günter Leugering

2014 | OriginalPaper | Buchkapitel

Chapter 20. On Existence and Attainability of Solutions to Optimal Control Problems in Coefficients for Degenerate Variational Inequalities of Monotone Type

Olga P. Kupenko

2014 | OriginalPaper | Buchkapitel

Chapter 21. Distributed Optimal Control in One Non-Self-Adjoint Boundary Value Problem

V. O. Kapustyan, O. A. Kapustian, O. K. Mazur

2014 | OriginalPaper | Buchkapitel

Chapter 22. Guaranteed Safety Operation of Complex Engineering Systems

Nataliya D. Pankratova, Andrii M. Raduk


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