Optimization and Differentiation

Simon Serovajsky is a Professor of Differential Equations and Control Theory at al-Farabi Kazakh National University in Kazakhstan. He is the author of many books published in the area of Modelling, Optimisation and Optimal Control Theory as well as a long list of high-quality publications in learned journals.

Minimization of the Functionals. Necessary Conditions of the Functional Extremum. Minimization of the Functionals. Stationary Systems. Linear Stationary Systems. Weak Nonlinear Stationary Systems. Strong Nonlinear Stationary Systems. Stationary Systems with the Coefficient Control. Stationary Systems with Nonlinear Control. Evolutional Systems. First Order Linear Evolutional Systems. First Order Nonlinear Evolutional Systems. Second Order Evolutional Systems. Navier – Stokes equations. Additions. Optimal Control Problems with the Different State Equations. Optimal Control Problems with Different Controls. Optimal Control Problems with the Different State Functionals. Optimal Control Problems with Different Constraints. Appendix. Differentiation, Optimization and Categories Theory. Elementary Conterexamples of the Optimization Control Theory.