Books by A.A. Martynyuk

A concise review of current research developments, this self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the above-mentioned type of equations, along with some applications. Without assuming specific knowledge of uncertain dynamical systems, the book includes many fundamental facts about dynamical behaviour of its solutions.

Presents approaches to qualitative analysis of continuous, discrete ptime and impulsive non-linear systems via Liapunov matrix-valued functions that introduce more effective tests for solving problems of estimating the domains of asymptotic stability.

Presenting surveys and research papers on various aspects of modern stability theory, this volume includes discussions on the applications of the theory, all contributed by experts in the field. It is useful to postgraduates and researchers in engineering fields as well as those in mathematics.

A concise review of current research developments, this self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the above-mentioned type of equations, along with some applications. Without assuming specific knowledge of uncertain dynamical systems, the book includes many fundamental facts about dynamical behaviour of its solutions.