MathSciNet is another good way to look for published articles about Differential Equations and Applied Mathematics by faculty and students from the University of Illinois at Urbana-Champaign. The links below search MathSciNet using Institution Code, 1-IL (Department of Mathematics, University of Illinois at Urbana-Champaign), and  Mathematics Subject Classification (MSC) Primary classifications related to Differential Equations and Applied Mathematics:

• 34 (Ordinary Differential Equations)
• 35 (Partial Differential Equations)