机构地区: 河套大学
出 处: 《内蒙古师范大学学报(自然科学汉文版)》 2009年第3期249-253,共5页
摘 要: 对于首项系数函数为正的Sturm-Liouville方程,利用自伴边界条件空间中一些边界条件的极限、自伴边界条件空间中的解析圈及连续特征值分支单调性的性质,给出耦合边界条件与分离边界条件下特征值间不等式的另一种证法. For a Sturm-Liouville equation with positive leading coefficient function, using some limits on the space of self-adjoint boundary conditions,analytic loop of space of self-adjoint boundary conditions and monotonicity of continuous eigenvalue branch, we give a new proof of the eigenvalue inequalities for coupled boundary conditions and those for separated boundary conditions established.