Qualitative and Quantitative Analysis of Nonlinear Systems

Part I. Existence and Regularity Results, Quantitative Methods and Their Convergence

1. Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results
Michael Z. Zgurovsky, Pavlo O. Kasyanov

2. Regularity of Solutions for Nonlinear Systems
Michael Z. Zgurovsky, Pavlo O. Kasyanov

3. Advances in the 3D Navier-Stokes Equations
Michael Z. Zgurovsky, Pavlo O. Kasyanov

Part II. Convergence Results in Strongest Topologies

4. Strongest Convergence Results for Weak Solutions of Non-autonomous Reaction-Diffusion Equations with Carathéodory’s Nonlinearity
Michael Z. Zgurovsky, Pavlo O. Kasyanov

5. Strongest Convergence Results for Weak Solutions of Feedback Control Problems
Michael Z. Zgurovsky, Pavlo O. Kasyanov

6. Strongest Convergence Results for Weak Solutions of Differential-Operator Equations and Inclusions
Michael Z. Zgurovsky, Pavlo O. Kasyanov

Part III. Uniform Global Behavior of Solutions: Uniform Attractors, Flattening and Entropy

7. Uniform Global Attractors for Non-autonomous Dissipative Dynamical Systems
Michael Z. Zgurovsky, Pavlo O. Kasyanov

8. Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems
Michael Z. Zgurovsky, Pavlo O. Kasyanov

9. Indirect Lyapunov Method for Autonomous Dynamical Systems
Michael Z. Zgurovsky, Pavlo O. Kasyanov

Keywords: Engineering, Computational Intelligence, Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Control