Half-inverse problems for the quadratic pencil of the Sturm–Liouville equations with impulse
Künye
Amirov, R., Durak, S. of Mathematics, Faculty of Science and Arts, Cumhuriyet University, Sivas, Turkey Ergün, A. Vocational School of Sivas, Cumhuriyet University, Sivas, TurkeyÖzet
In this paper, we consider the inverse spectral problem for
the impulsive Sturm–Liouville differential pencils on [0, π]
with the Robin boundary conditions and the jump conditions
at the point 𝜋������
2
. We prove that two potentials functions on
the whole interval and the parameters in the boundary and
jump conditions can be determined from a set of eigenvalues
for two cases: (i) the potentials given on
(
0, 𝜋������
2
)
. and
(ii) the potentials given on
(
𝜋������
2
, 𝜋������
)
, where 0<α<1, respectively.
Inverse spectral problems, Sturm–Liouville operator,
spectrum, uniqueness.