Nineteenth Southeastern-Atlantic Regional Conference on Differential Equations

DMS-9978164自1981年以来，东南-大西洋地区微分方程组会议(SEARCDE)每年举行一次，并在东南部的研究机构之间轮流举行。SEARCDE的主要目标是通过聚集现有的和新的研究人员，包括高级研究生，交流思想和讨论该领域的最新发展，促进微分方程式领域的研究和教育。这些会议涵盖了广泛的主题，包括常微分方程式和偏微分方程式、积分方程式和泛函方程式、数值方法、反问题，以及在科学和工程上的应用，让与会者接触到他们直接关注的领域以外的最新研究。它们为所有参与者提供机会，在演讲中介绍他们自己的工作，与该地区和其他地区的其他研究人员互动，并通过听取著名数学家的特邀讲座来拓宽他们对该领域的知识。微分方程式领域仍然是数学研究及其应用的驱动力之一。SEARCDE采用其特殊的形式，旨在最大限度地减少参与的成本和不便，而且传统上强调年轻数学家的支持，它定期将来自该国广大地区的这一领域的老牌和新的研究人员聚集在一起。因此，这次会议为推进微分方程式的广泛领域的研究和教育，以及它在科学和工程中的无数应用提供了独特的机会。此外，这次会议为年轻的研究人员提供了向专家观众介绍他们的工作的机会，并通过与更有经验的数学家互动来加深他们对该领域的知识。这种互动对年轻数学家作为研究人员和教育工作者的职业发展至关重要。

DMS-9978164ABSTRACTThe Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE) has met annually since 1981, and rotates among the research institutions in the southeast. SEARCDE's primary objective is to promote research and education in the field of differential equations by bringing together established and new researchers, including advanced graduate students, for the exchange of ideas and the discussion of recent developments in the field. By covering a wide range of topics, including ordinary and partial differential equations, integral and functional equations, numerical methods, inverse problems, and applications to the sciences and engineering, these conferences expose participants to current research outside of their immediate area of concentration. They provide opportunities for all participants to present their own work in contributed talks, to interact with other researchers from the region and beyond, and to broaden their knowledge of the field by hearing the invited lectures of eminent mathematicians.The field of differential equations continues to be one of the driving forces of mathematical research and its applications. With its special format, chosen to minimize the cost and inconvenience of participation, and its traditional emphasis on the support of young mathematicians, SEARCDE brings together established and new researchers in this field from a vast region of the country on a regular basis. The conference thereby provides unique opportunities for the advancement of research and education in the broad field of differential equations, as well as its myriad applications in the sciences and engineering. In addition, this conference provides opportunities for young researchers to present their work to an expert audience and to further their knowledge of the field by interacting with more experienced mathematicians. Such interaction is crucial to a young mathematician's professional development as a researcher and educator.