Spectral properties and solutions for parameter dependent differential equations

参数相关微分方程的谱特性和解

• 批准号: 238869-2011
• 负责人: Feng, Wenying
• 金额: $ 0.8万
• 依托单位: Trent University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=524475
• 关键词: Spectral; properties; solutions; parameter; dependent

The proposed research is in the areas of Nonlinear Analysis and Differential Equations. The emphasis is on the investigation of parameter dependent nonlinear boundary value problems by applying spectral theories. Results on existence, uniqueness, multiplicity, positivity, nodal properties, bifurcation and stability of solutions are to be stated directly in terms of the location of the point (the parameters) relative to the spectra.

建议的研究领域是非线性分析和微分方程。重点是应用谱理论研究参数相关的非线性边值问题。解的存在性、唯一性、多重性、正性、节点性、分岔性和稳定性的结果直接用点（参数）相对于谱的位置来表述。