Differential Equations

Viorel Barbu is Professor of Mathematics at the Alexandru Ioan Cuza University of Iasi, Romania, and member of the Romanian Academy and the European Academy of Sciences. He is the author of several monographs and textbooks on partial differential equations, optimal control, nonlinear analysis, and optimization theory.

“This book provides a thorough and mathematically rigorous presentation of the basic theory of differential equations. … The author has a style and approach that makes the book quite readable. There is, also, given explanatory and motivational material, associated with carefully chosen examples and exercises (with hints). This is an excellent book … by means of which an undergraduate student can be introduced to ordinary and partial differential equations.” (George Karakostas, zbMATH 1370.34001, 2017)

• Introduction.- Existence and uniqueness for the Cauchy problem.- Systems of linear differential equations.- Stability theory.- Prime integrals and first-order partial differential equations.