《微分方程的進展》將發表精心挑選的較長的研究論文，內容涉及微分方程的數學方面，以及數學理論在科學和工程中出現的問題中的應用。提交給本刊的論文應正確、新穎、重要。重點將放在那些被認為是特別及時的論文上，并且對在這個領域工作的大量數學家感興趣。

Advances in Differential Equations will publish carefully selected, longer research papers on mathematical aspects of differential equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new and non-trivial. Emphasis will be placed on papers that are judged to be specially timely, and of interest to a substantial number of mathematicians working in this area.