Books by Svetlin G. Georgiev

The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales;

This book provides the first and second fundamental forms of surfaces on time scales. They are introduced minimal surfaces and geodesics on time scales. In the book are studied the covaraint derivatives on time scales, pseudo-spherical surfaces and \sigma_1, \sigma_2 manifolds on time scales.

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Much discussion is devoted to Riemann-Liouville fractional dynamic equations and Caputo fractional dynamic equations.

This book offers the reader an overview of recent developments of multivariable dynamic calculus on time scales, taking readers beyond the traditional calculus texts.

This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations.

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Much discussion is devoted to Riemann-Liouville fractional dynamic equations and Caputo fractional dynamic equations.