Inverse nodal and inverse spectral problems for discontinuous boundary value problems

176 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Inverse nodal problems for Sturm–Liouville equation with eigenparameter-dependent boundary and jump conditions (2015, background): “[2–10] The first result on inverse nodal problems for the Sturm–Liouville operators with a discontinuity condition was obtained in [11].”
On half inverse problem for differential pencils with the spectral parameter in boundary conditions (2011, background): “Various aspects of the half inverse spectral problems for the Sturm-Liouville operator (q1(x)≡ 0, h1 = H1 = 0) were investigated in [18]–[23] and other works.”
Incomplete Inverse Spectral and Nodal Problems for Differential Pencils (2011, methodology): “Further, using this fact and developing the idea of the works [22,24] we prove that for unique determination of L it is sufﬁcient to specify the nodal points only on (0 , a ) , a > 1 / 2, together with the mean values of the functions q 0 ( x ) , q 1 ( x ).”