A class of singular perturbation solutions to semilinear equations of fourth order

• 作 者: 莫嘉琪
• 机 构: DepartmentofMathematics,DivisionofComputationalScience
• 出 处: 应用数学和力学：英文版
• 发表日期: 2009年11期
• 关键词: 半线性方程 奇异摄动 四阶 上下解方法 边值问题 渐近行为 边界值 nonlinear two parameters singular perturbati
• 基金项目: Project supported by the National Natural Science Foundation of China （Nos. 40676016 and 40876010）, the Knowledge hmovation Program of Chinese Academy of Sciences （No. KZCX2-YW- Q03-08）, the LASG Stat

A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existence and the asymptotic behavior of the