Difference equations with random coefficients.

Tamara G. Stryzhak researches the stability of solutions of the system of linear difference equations with random Markovian coefficients. She also deals with Lyapunov functions which were used to receive the necessary and sufficient conditions of the stability of the solutions in the average quadratic mean. As an example, Stryzhak discusses the stability of solutions of a single difference equation with one random Markovian coefficient which takes on two values. The series on Modern Mathematics for Engineers is addressed to upper-course University students in Mathematics specialties, to graduate students and to researchers who apply Mathematics in different spheres.

Autorentext

Dr. Tamara G. Stryzhak is Professor of Mathematics at the Department of Higher Mathematics of the National Technical University of Ukraine "Kiev Polytechnical Institute," and the Secretary of the Ukrainian National Committee of IAESTE. She studied at the National Taras Shevchenko University of Kiev, and defended her Candidate of Science thesis at the Institute of Mathematics of the USSR Academy of Sciences as well as her Doctor of Science dissertation at the Novosibirsk Section of the USSR Academy of Sciences. She is the author of five monographs, three textbooks, and more than 200 further publications in, among other journals, Ukräns'kyi matematychnyi zhurnal, Differentsial'nye uravneniia, and Matematicheskaia fizika.