Uncertain Differential Equations

This book introduces readers to the basic concepts of and latest findings in the area of differential equations with uncertain factors. It covers the analytic method and numerical method for solving uncertain differential equations, as well as their applications in the field of finance. Furthermore, the book provides a number of new potential research directions for uncertain differential equation. It will be of interest to researchers, engineers and students in the fields of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, automation, economics, and management science.

The first book available on uncertain differential equations Covers uncertain differential equation with jumps Covers multi-dimensional uncertain differential equation Covers high-order uncertain differential equation Includes supplementary material: sn.pub/extras

Inhalt
Introduction.- Uncertain Variable.- Uncertain Process.- Contour Process.- Uncertain Calculus.- Uncertain Differential Equation.- Uncertain Calculus with Renewal Process.- Uncertain Differential Equation with Jumps.- Multi-Dimensional Uncertain Differential Equation.- High-Order Uncertain Differential Equation.