Bøger af Donal O'Regan

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.

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

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.

Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

Interest in the mathematical analysis of multifunctions has increased rapidly. This volume encompasses the mathematical analysis of multifunctions and contains 29 research articles from leading mathematicians in this area.

In this textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided for practice.

Over the past few decades, fixed point theory has become an important field of study in both pure and applied mathematics. This book presents the main techniques and results in the theory, from preliminary topics and basic results to applicable problems.

Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

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.