Oscillations, spectral theory and factorials

振荡、谱理论和阶乘

• 批准号: 114651-2009
• 负责人: Mingarelli, Angelo
• 金额: $ 1.02万
• 依托单位: Carleton University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=421889
• 关键词: Oscillations; spectral; theory; factorials

The applicant and his graduate students will consider the following questions: The study of oscillations of systems of differential equations and their extensions with a view at unifying discrete and continuous problems. We propose a further exploration of non-self adjoint systems oscillations of ordinary differential equations, a field left unexplored since Wintner's last paper in 1956. Along with a doctoral student we will also consider conditions for the degeneracy of a three-term Sturm-Liouville operator.

申请人和他的研究生将考虑以下问题：研究微分方程组的振动及其推广，以统一离散和连续问题。我们提出了常微分方程非自伴系统振动的进一步探索，这个领域自1956年Wintner的上一篇论文以来一直没有被探索过。与博士生一起，我们还将考虑三项Sturm-Liouville算子退化的条件。