A solution to the inverse problem for the Sturm-Liouville-type equation with a delay
Keyword(s):
The paper is devoted to study of the inverse problem of the boundary spectral assignment of the Sturm-Liouville with a delay. -y'(x) + q(x)y(? ? x) = ?y(x), q ? AS[0, ?], ? ? (0,1] (1) with separated boundary conditions: y(0) = y(?) = 0 (2) y(0) = y'(?) = 0 (3) It is argued that if the sequence of eigenvalues is given ?n(1) and ?n(2) tasks (1-2) and (1-3) respectively, then the delay factor ? ? (0,1) and the potential q ? AS[0, ?] are unambiguous. The potential q is composed by means of trigonometric Fourier coefficients. The method can be easily transferred to the case of ? = 1 i.e. to the classical Sturm-Liouville problem.
2017 ◽
Vol 95
(10)
◽
pp. 1992-2010
◽
Keyword(s):
2013 ◽
Vol 77
(4)
◽
pp. 533-557
◽
2016 ◽
Vol 24
(4)
◽
1998 ◽
Vol 41
(3)
◽
pp. 573-583
◽
2020 ◽
Vol 44
(2)
◽
pp. 493-496
1999 ◽
Vol 129
(4)
◽
pp. 707-716
◽
2006 ◽
Vol 11
(1)
◽
pp. 47-78
◽
2014 ◽
Vol 19
(3)
◽
pp. 301-334
◽
Keyword(s):