Qin Y. Integral and Discrete Inequalities and Their Applications: Volume II: Nonlinear Inequalities

Springer International Publishing, Switzerland, 2016. — 1083 p. — ISBN: 9783319333038This 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.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