A First Course in the Qualitative Theory of Differential Equations

For upper-level undergraduate and beginning graduate-level courses in Qualitative Theory of Differential Equations.

Striking a unique balance between advanced and elementary material, this text is perfect for a second course in differential equations or a first theory course in differential equations. Liu provides a complete analysis of those subjects that are of fundamental importance and related to current research-including details that other texts in the field tend to overlook. As a result, students gain a solid understanding of the topics covered then challenge their creativity with exercises, reading, and/or research projects.