[1]

A. Bayramov, S. Öztürk Uslu and S. Kizilbudak C̣aliskan,
Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument,
Appl. Math. Comput. 191 (2007), no. 2, 592–600.
Web of ScienceGoogle Scholar

[2]

N. P. Bondarenko,
An inverse problem for an integro-differential operator on a star-shaped graph,
Math. Methods Appl. Sci. 41 (2018), no. 4, 1697–1702.
CrossrefWeb of ScienceGoogle Scholar

[3]

N. P. Bondarenko,
Partial inverse problems for the Sturm–Liouville operator on a star-shaped graph with mixed boundary conditions,
J. Inverse Ill-Posed Probl. 26 (2018), no. 1, 1–12.
CrossrefWeb of ScienceGoogle Scholar

[4]

N. Bondarenko and S. Buterin,
On recovering the Dirac operator with an integral delay from the spectrum,
Results Math. 71 (2017), no. 3–4, 1521–1529.
CrossrefWeb of ScienceGoogle Scholar

[5]

N. Bondarenko and S. Buterin,
An inverse spectral problem for integro-differential Dirac operators with general convolution kernels,
Appl. Anal. (2018), 10.1080/00036811.2018.1508653.
Google Scholar

[6]

N. Bondarenko and V. Yurko,
An inverse problem for Sturm–Liouville differential operators with deviating argument,
Appl. Math. Lett. 83 (2018), 140–144.
CrossrefWeb of ScienceGoogle Scholar

[7]

N. Bondarenko and V. Yurko,
Partial inverse problems for the Sturm–Liouville equation with deviating argument,
Math. Methods Appl. Sci. (2018), 10.1002/mma.5265.
Web of ScienceGoogle Scholar

[8]

P. J. Browne and B. D. Sleeman,
Inverse nodal problems for Sturm–Liouville equations with eigenparameter dependent boundary conditions,
Inverse Problems 12 (1996), no. 4, 377–381.
CrossrefGoogle Scholar

[9]

S. A. Buterin,
On an inverse spectral problem for first-order integro-differential operators with discontinuities,
Appl. Math. Lett. 78 (2018), 65–71.
CrossrefWeb of ScienceGoogle Scholar

[10]

S. A. Buterin and A. E. Choque Rivero,
On inverse problem for a convolution integro-differential operator with Robin boundary conditions,
Appl. Math. Lett. 48 (2015), 150–155.
Web of ScienceCrossrefGoogle Scholar

[11]

S. A. Buterin, M. Pikula and V. A. Yurko,
Sturm–Liouville differential operators with deviating argument,
Tamkang J. Math. 48 (2017), no. 1, 61–71.
Web of ScienceGoogle Scholar

[12]

S. A. Buterin and M. Sat,
On the half inverse spectral problem for an integro-differential operator,
Inverse Probl. Sci. Eng. 25 (2017), no. 10, 1508–1518.
Web of ScienceCrossrefGoogle Scholar

[13]

S. A. Buterin and C.-T. Shieh,
Incomplete inverse spectral and nodal problems for differential pencils,
Results Math. 62 (2012), no. 1–2, 167–179.
CrossrefWeb of ScienceGoogle Scholar

[14]

S. A. Buterin and S. V. Vasiliev,
On uniqueness of recovering the convolution integro-differential operator from the spectrum of its non-smooth one-dimensional perturbation,
Bound. Value Probl. 2018 (2018), Paper No. 55.
Web of ScienceGoogle Scholar

[15]

S. A. Buterin and V. A. Yurko,
An inverse spectral problem for Sturm–Liouville operators with a large constant delay,
Anal. Math. Phys. (2017), 10.1007/s13324-017-0176-6.
Web of ScienceGoogle Scholar

[16]

G. Freiling and V. A. Yurko,
Inverse problems for Sturm–Liouville differential operators with a constant delay,
Appl. Math. Lett. 25 (2012), no. 11, 1999–2004.
CrossrefWeb of ScienceGoogle Scholar

[17]

I. M. Gel’fand and B. M. Levitan,
On the determination of a differential equation from its spectral function,
Izv. Akad. Nauk SSSR. Ser. Mat. 15 (1951), 309–360.
Google Scholar

[18]

O. H. Hald and J. R. McLaughlin,
Solutions of inverse nodal problems,
Inverse Problems 5 (1989), no. 3, 307–347.
CrossrefGoogle Scholar

[19]

J. Hale,
Theory of Functional Differential Equations, 2nd ed.,
Springer, New York, 1977.
Google Scholar

[20]

Y. V. Kuryshova,
The inverse spectral problem for integrodifferential operators,
Mat. Zametki 81 (2007), no. 6, 855–866.
Google Scholar

[21]

Y. V. Kuryshova and C.-T. Shieh,
An inverse nodal problem for integro-differential operators,
J. Inverse Ill-Posed Probl. 18 (2010), no. 4, 357–369.
Web of ScienceGoogle Scholar

[22]

J. R. McLaughlin,
Inverse spectral theory using nodal points as data—a uniqueness result,
J. Differential Equations 73 (1988), no. 2, 354–362.
CrossrefGoogle Scholar

[23]

A. D. Myshkis,
Linear Differential Equations with a Delay Argument, 2nd ed.,
Nauka, Moscow, 1972.
Google Scholar

[24]

S. B. Norkin,
Second Order Differential Equations with a Delay Argument,
Nauka, Moscow, 1965.
Google Scholar

[25]

J. P. Pinasco and C. Scarola,
A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line,
J. Differential Equations 261 (2016), no. 2, 1000–1016.
CrossrefWeb of ScienceGoogle Scholar

[26]

Y. P. Wang,
Inverse problems for a class of Sturm–Liouville operators with the mixed spectral data,
Oper. Matrices 11 (2017), no. 1, 89–99.
Web of ScienceGoogle Scholar

[27]

Y. P. Wang, K. Y. Lien and C.-T. Shieh,
Inverse problems for the boundary value problem with the interior nodal subsets,
Appl. Anal. 96 (2017), no. 7, 1229–1239.
CrossrefWeb of ScienceGoogle Scholar

[28]

Y. P. Wang, K. Y. Lien and C. T. Shieh,
On a uniqueness theorem of Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter,
Bound. Value Probl. 2018 (2018), Paper No. 28.
Web of ScienceGoogle Scholar

[29]

Y. P. Wang, C. T. Shieh and H. Y. Miao,
Reconstruction for Sturm–Liouville equations with a constant delay with twin-dense nodal subsets,
Inverse Probl. Sci. Eng. (2018), 10.1080/17415977.2018.1489803.
Web of ScienceGoogle Scholar

[30]

C.-F. Yang,
Inverse nodal problems for the Sturm–Liouville operator with a constant delay,
J. Differential Equations 257 (2014), no. 4, 1288–1306.
CrossrefWeb of ScienceGoogle Scholar

[31]

X.-F. Yang,
A solution of the inverse nodal problem,
Inverse Problems 13 (1997), no. 1, 203–213.
CrossrefGoogle Scholar

[32]

V. Yurko,
Inverse nodal problems for Sturm–Liouville operators on star-type graphs,
J. Inverse Ill-Posed Probl. 16 (2008), no. 7, 715–722.
Web of ScienceGoogle Scholar

## Comments (0)

General note:By using the comment function on degruyter.com you agree to our Privacy Statement. A respectful treatment of one another is important to us. Therefore we would like to draw your attention to our House Rules.