《微分方程的进展》将发表精心挑选的较长的研究论文，内容涉及微分方程的数学方面，以及数学理论在科学和工程中出现的问题中的应用。提交给本刊的论文应正确、新颖、重要。重点将放在那些被认为是特别及时的论文上，并且对在这个领域工作的大量数学家感兴趣。
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.