@Book{Freiling2001, author="G. Freiling, V. Yurko", title="Inverse problem for Sturm-Liouville problems and their Applications", year="2001", publisher=" Nova Science ", address="New York" } @Article{Guliyev2005, author="N. J. Guliyev", title="Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions", journal=" Inverse problems", year="2005", pages="1315-1330. ", volume="21" } @Article{Walter 1973, author="J. Walter ", title="Regular eigenvalue problems with eigenvalue parameter in the boundary condition", journal="Math Zeitschrift", year="1973", pages="301-312.", volume="133" } @Article{Fulton 1977, author=" C. T. Fulton ", title="Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions ", journal="Proc. R. Soc. Edinburg, A", year="1977", pages=" 293-308. ", volume="77" } @Article{Fulton1980, author=" C. T. Fulton", title=" Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions", journal="proc. R. Soc. Edinburg, B", year="1980", pages="1-34. ", volume="87" } @Article{Keskin2011, author=" B. Keskin, A. Sinan, N. Yalkin ", title="Inverse spectral problems for discontinuous Sturm-Liouville operator with eigenvalue dependent boundary conditions", journal="", year="2011", pages=" 15-25. ", volume="60" } @Book{Levitan 1975, author=" B. M. Levitan, I. S. Sargsyan", title=" Introduction to spectral Theory ", year=" 1975", publisher="American Mathematical Society, Providence, RI", address="USA" } @Book{Shepelsky1994, author=" D. G. Shepelsky", title="The inverse problem of reconstruction of the medium conductivity in a class of discontinuous and increasing functions ", year="1994", publisher="Spectral operator theory and related topics, 209-232, Advances in Soviet Math., 19, Amer. Math. Soc.", address="providence, RI" } @Article{Russakovsk 1975, author=" E. M. Russakovsk ", title="Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditoins", journal=" Funct. Anal. Appl.", year="1975", pages=" 358-359. ", volume="9" } @Book{Codington1955, author=" E. A. Codington, N. Levinson ", title="Theory of Ordinary Differential Equations", year="1955", publisher="McGraw-Hill, New York, NY", address="USA" } @Article{Amirov 2006, author=" R. Kh. Amirov ", title="On Sturm-Liouville operators with discontinuity conditions inside an interval", journal=" J. Math. Anal. Appl.", year="2006", pages=" 163-176. ", volume="317" } @Article{Gelfand1955, author=" I. M. Gelfand, B. M. Levitan", title="On the determination of a differential equation from its spectral function Amer", journal="Math. Soc. Transl. Ser.", year="1955", pages=" 253-304. ", volume="21" } @Article{Shahriari2012, author=" Mohammad Shahriari, Aliasghar Jodayree Akbarfama, Gerald Teschl ", title="Uniqueness for Inverse Sturm-Liouville Problems with a Finite Number of Transmission Conditions", journal="J.Math. Anal. Appl.", year="2012", pages=" 19-29.", volume="395" } @Article{kerimov1997, author=" N. B. kerimov, V. S. Mirzoev ", title="On the basis properties of one spectral parameter in the boundary conditions", journal="", year="1997", pages="116-120. ", volume="33" } @Article{Browne1997, author=" P. J. Browne, B. D. Sleeman", title=" A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems", journal="Inverse Problems", year="1997", pages="1453-1462", volume=" 13(6)" } @Article{Yurko2002, author=" V. A. Yurko", title="Reconstruction of singular non-self-adjoint differential operators with a singularity inside an interval", journal=" Differential Equations", year="2002", pages=" 678-694. ", volume="38(5)" } @Book{Yurko2000, author="V. A. Yurko", title=" Inverse Spectral problems for Linear Differential Operators and their Applications", year="2000", publisher="Gordon and Breach", address="New York" } @Article{Hald 1984, author="O. H. Hald ", title="Discontinuous inverse eigenvalue problems ", journal="Comm. Pure Appl. Math.", year="1984", pages=" 539-577. ", volume="37" } @Book{ 1986, author="V. A. Marchenko ", title="The Sturm-Liouville operators and their applications", year="1986", publisher="(Russian), (Kiev:Naukova Dumka) English transl", address="Basel: Birkhauser Verlag" } @Article{Anderssen1997, author=" R. S. Anderssen", title=" The effect of discontinuities in density and shear velocity on the asymptotic overtone structure of to rational eigenfrequencies of the earth ", journal="Geophys. J. R. astr. Soc.", year="1997", pages=" 303-309.", volume="50" } @Book{Teschl 2009, author=" G. Teschl ", title="Mathematical Methods in Quantum Mechanics", year="2009", publisher="With Applications to Schrödinger Operators, Graduate Studies in Mathematics, Amer. Math. Soc.", address="Rhode Island" }