Y. Qin – Integral and Discrete Inequalities and Their Applications. Linear and Nonlinear Inequalities (2016)

Автор: Y. Qin
Название книги: Integral and Discrete Inequalities and Their Applications. Linear and Nonlinear Inequalities (2016)
Формат: PDF
Жанр: Математика
Страницы: 2083
Качество: Изначально компьютерное, E-book

1. This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics.
The present volume is part 1 of the author’s two-volume work on inequalities.
Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Contents
Linear One-Dimensional Continuous Integral Inequalities
Linear One-Dimensional Discrete (Difference) Inequalities
Linear One-Dimensional Discontinuous Integral Inequalities
Applications of Linear One-Dimensional Inequalities
Linear Multi-Dimensional Continuous Integral Inequalities
Linear Multi-Dimensional Discrete (Difference) Inequalities
Linear Multi-Dimensional Discontinuous Integral Inequalities
Applications of Linear Multi-Dimensional Integral and Difference Inequalities

2. This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations.
The present volume is part 2 of the author’s two-volume work on inequalities.
Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference.
Contents
Nonlinear One-Dimensional Continuous Integral Inequalities
Nonlinear One-Dimensional Discrete (Difference) Inequalities
Nonlinear One-Dimensional Discontinuous Integral Inequalities
Applications of Nonlinear One-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities
Nonlinear Multi-Dimensional Continuous Integral Inequalities
Nonlinear Multi-Dimensional Discrete (Difference) Inequalities
Nonlinear Multi-Dimensional Discontinuous Inequalities
Applications of Nonlinear Multi-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities