Modern Mathematics and Mechanics 1st edition by Victor Sadovnichiy,Michael Zgurovsky 9783319967547 3319967541

Part I. Differential Geometry

1. Convergence Almost Everywhere of Orthorecursive Expansions in Systems of Translates and Dilates

2. Three-Dimensional Manifolds of Constant Energy and Invariants of Integrable Hamiltonian Systems

3. Applying Circulant Matrices Properties to Synchronization Problems

4. Existence and Invariance of Global Attractors for Impulsive Parabolic System Without Uniqueness

5. Fraktal and Differential Properties of the Inversor of Digits of Q s-Representation of Real Number

6. Almost Sure Asymptotic Properties of Solutions of a Class of Non-homogeneous Stochastic Differential Equations

Part II. Solid Mechanics

7. Procedure of the Galerkin Representation in Transversely Isotropic Elasticity

8. Symmetries and Fundamental Solutions of Displacement Equations for a Transversely Isotropic Elastic Medium

9. Modification of Hydrodynamic and Acoustic Fields Generated by a Cavity with Fluid Suction

10. Numerical Modeling of the Wing Aerodynamics at Angle-of-Attack at Low Reynolds Numbers

11. Strong Solutions of the Thin Film Equation in Spherical Geometry

Part III. Dynamics of Differential and Difference Equations and Applications

12. Sequence Spaces with Variable Exponents for Lattice Systems with Nonlinear Diffusion

13. Attractors for a Random Evolution Equation with Infinite Memory: An Application

14. Non-Lipschitz Homogeneous Volterra Integral Equations

15. Solving Random Ordinary and Partial Differential Equations Through the Probability Density Function: Theory and Computing with Applications

16. A Strong Averaging Principle for Lévy Diffusions in Foliated Spaces with Unbounded Leaves

17. Young Differential Delay Equations Driven by Hölder Continuous Paths

18. Uniform Strong Law of Large Numbers for Random Signed Measures

19. On Comparison Results for Neutral Stochastic Differential Equations of Reaction-Diffusion Type in L2(ℝd)

20. Maximum Sets of Initial Conditions in Practical Stability and Stabilization of Differential Inclusions

Part IV. Modern Methods of Optimization and Control Sciences for Continuum Mechanics

21. Asymptotic Translation Uniform Integrability and Multivalued Dynamics of Solutions for Non-autonomous Reaction-Diffusion Equations

22. Automation of Impulse Processes Control in Cognitive Maps with Multirate Sampling Based on Weights Varying

23. On Approximation of an Optimal Control Problem for Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator

24. Approximate Optimal Regulator for Distributed Control Problem with Superposition Functional and Rapidly Oscillating Coefficients

25. Divided Optimal Control for Parabolic-Hyperbolic Equation with Non-local Pointed Boundary Conditions and Quadratic Quality Criterion

26. Quasi-Linear Differential-Deference Game of Approach

27. The Problem of a Function Maximization on a Type-2 Fuzzy Set

28. Using Wavelet Techniques to Approximate the Subjacent Risk of Death