摘要
将一个偶数阶对称微分方程转化为Hamiltonian系统,在区间[a,+∞)上,证明了2n阶奇型拟微分算子幂的最小算子的Friedrichs扩张存在的边条件形式,即由2n阶对称系统的2n×2n阶基解矩阵的2n×n阶主解子矩阵给出的边条件形式.
In this paper, we transformat from the 2n-th order equation to a Hamiltonian system and prove that the Friedrichs extension of powers of the minimal operator for 2n-th order singular ordinary differential operators is determined in terms of boundary conditions by the principal 2n×n solution submatrix of a fundamental 2n × 2n matrix of the system representation of the scalar 2n-th order equation in [α, ＋∞）.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2008年第3期314-317,320,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10661008)
内蒙古自然科学基金资助项目(200711020102)
