摘要
考虑具有后效的Sturm-Liouville逆特征值问题,即带有分离型自伴边界条件的一类积-微分方程.该文证明,当势函数及部分区间上的核函数为已知时,整个区间上核函数能够通过部分特征值完全确定.
The inverse eigenvalue problem of an integro-differential equation with self-adjoint boundary conditions is considered,which may be also regarded as a perturbation of the classical potential equation.Some uniqueness results are obtained which imply that the kernel function M can completely be determined even if only partial information is given on M together with partial information on one full spectrum,when the potention function is known.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2012年第6期1171-1178,共8页
Acta Mathematica Scientia
基金
国家自然科学基金(11171198)
中央高校专项基金(GK201001002)资助
