摘要
采用分析的方法研究了在复Hilbert向量函数空间LM2[0.1]上由两项二阶向量微分算式L(Y)=Y″+Q(x)Y和边条件所生成的微分算子的特征行列式,及当|λ|充分大时特征函数的展开式;并对算子的Green函数作出了一个重要估计。
By the methods of analysis, two-item and two-order vector differential operators on bounded interval are studied, which are generated by differential expression in complex Hilbert vector functions space with bounded conditions. We obtain some results about the Characteristic determinant, eigenvector expansion for sufficiently large, and we get an important estimation for Green function of operators.
出处
《安阳工学院学报》
2013年第2期91-94,111,共5页
Journal of Anyang Institute of Technology
基金
广东省自然科学基金(9251064101000015):非自伴微分算子的谱理论及其应用
2012安阳工学院科研基金项目:变分方法在一类非线性椭圆方程中的应用
关键词
向量微分算子
特征行列式
特征函数
vector differential operators
characteristic determinant
eigenvector
