Dynamic Inequalities On Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Inequalities On Time Scales write by Ravi Agarwal. This book was released on 2014-10-30. Dynamic Inequalities On Time Scales available in PDF, EPUB and Kindle. This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
Integral Inequalities on Time Scales
Integral Inequalities on Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Inequalities on Time Scales write by Svetlin G. Georgiev. This book was released on 2020-08-24. Integral Inequalities on Time Scales available in PDF, EPUB and Kindle. This book is devoted to recent developments of linear and nonlinear integral inequalities on time scales. The book is intended for the use in the field of dynamic calculus on time scales, dynamic equation and integral equations on time scales. It is also suitable for graduate courses in the above fields. The book is designed for those who have mathematical background on time scales calculus.
Integral Inequalities on Time Scales
Integral Inequalities on Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Inequalities on Time Scales write by Svetlin G. Georgiev. This book was released on 2020-08-24. Integral Inequalities on Time Scales available in PDF, EPUB and Kindle. This book is devoted to recent developments of linear and nonlinear integral inequalities on time scales. The book is intended for the use in the field of dynamic calculus on time scales, dynamic equation and integral equations on time scales. It is also suitable for graduate courses in the above fields. The book is designed for those who have mathematical background on time scales calculus.
Inequalities for Differential and Integral Equations
Inequalities for Differential and Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Inequalities for Differential and Integral Equations write by . This book was released on 1997-11-12. Inequalities for Differential and Integral Equations available in PDF, EPUB and Kindle. Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. - Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations - Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books - Provides a valuable reference to engineers and graduate students
Stability Theory for Dynamic Equations on Time Scales
Stability Theory for Dynamic Equations on Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability Theory for Dynamic Equations on Time Scales write by Anatoly A. Martynyuk. This book was released on 2016-09-22. Stability Theory for Dynamic Equations on Time Scales available in PDF, EPUB and Kindle. This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
