Books by Ravi P. Agarwal

Devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T, this book gives the time scale versions of a wide range of inequalities, following their histories and development. Each section in self-contained and one can see the relationship between the time scale versions.

This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level.

This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course.

Researchers in the fields of mathematical modeling, mathematical biology, and population dynamics will be particularly interested in this material.

This book offers advanced graduates and researchers a trove of key results in the study of convergence, in both real and complex domains. It explores new and more efficient applications developed by the authors for studies of optimization and analysis.

A study of difference equations and inequalities. It offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, and sociology.

Summarizes the qualitative theory of differential equations with or without delays, collecting oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. This work explores key aspects of the oscillation of dynamic equations on time scales.

This work introduces readers to the topic of maximal regularity for difference equations. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.

Ordinary differential equations serve as mathematical models for many exciting real world problems. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections.