%0 Journal Article %T Reconstruction of the Sturm-liouville Operators with Transmission and Parameter Dependent Boundary Conditions %A Fallahi, Mostafa %A Sharaghi, Fereshte %A Shahriari, Mohammad %J Journal of Mathematics and Computer Science %D 2014 %V 13 %N 2 %@ ISSN 2008-949X %F Fallahi2014 %X Inverse problems of recovering the coefficients of discontinuous Sturm-Liouville problems with the eigenvalue parameter linearly contained in one of the boundary conditions are studied: 1) From Weyl m- function. 2) From spectral data. %9 journal article %R 10.22436/jmcs.013.02.06 %U http://dx.doi.org/10.22436/jmcs.013.02.06 %P 142-156 %0 Book %T Inverse problem for Sturm-Liouville problems and their Applications %A G. Freiling %A V. Yurko %D 2001 %I Nova Science %C New York %F Freiling2001 %0 Journal Article %T Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions %A N. J. Guliyev %J Inverse problems %D 2005 %V 21 %F Guliyev2005 %0 Journal Article %T Regular eigenvalue problems with eigenvalue parameter in the boundary condition %A J. Walter %J Math Zeitschrift %D 1973 %V 133 %F Walter 1973 %0 Journal Article %T Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions %A C. T. Fulton %J Proc. R. Soc. Edinburg, A %D 1977 %V 77 %F Fulton 1977 %0 Journal Article %T Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions %A C. T. Fulton %J proc. R. Soc. Edinburg, B %D 1980 %V 87 %F Fulton1980 %0 Journal Article %T Inverse spectral problems for discontinuous Sturm-Liouville operator with eigenvalue dependent boundary conditions %A B. Keskin %A A. Sinan %A N. Yalkin %J %D 2011 %V 60 %F Keskin2011 %0 Book %T Introduction to spectral Theory %A B. M. Levitan %A I. S. Sargsyan %D 1975 %I American Mathematical Society, Providence, RI %C USA %F Levitan 1975 %0 Book %T The inverse problem of reconstruction of the medium conductivity in a class of discontinuous and increasing functions %A D. G. Shepelsky %D 1994 %I Spectral operator theory and related topics, 209-232, Advances in Soviet Math., 19, Amer. Math. Soc. %C providence, RI %F Shepelsky1994 %0 Journal Article %T Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditoins %A E. M. Russakovsk %J Funct. Anal. Appl. %D 1975 %V 9 %F Russakovsk 1975 %0 Book %T Theory of Ordinary Differential Equations %A E. A. Codington %A N. Levinson %D 1955 %I McGraw-Hill, New York, NY %C USA %F Codington1955 %0 Journal Article %T On Sturm-Liouville operators with discontinuity conditions inside an interval %A R. Kh. Amirov %J J. Math. Anal. Appl. %D 2006 %V 317 %F Amirov 2006 %0 Journal Article %T On the determination of a differential equation from its spectral function Amer %A I. M. Gelfand %A B. M. Levitan %J Math. Soc. Transl. Ser. %D 1955 %V 21 %F Gelfand1955 %0 Journal Article %T Uniqueness for Inverse Sturm-Liouville Problems with a Finite Number of Transmission Conditions %A Mohammad Shahriari %A Aliasghar Jodayree Akbarfama %A Gerald Teschl %J J.Math. Anal. Appl. %D 2012 %V 395 %F Shahriari2012 %0 Journal Article %T On the basis properties of one spectral parameter in the boundary conditions %A N. B. kerimov %A V. S. Mirzoev %J %D 1997 %V 33 %F kerimov1997 %0 Journal Article %T A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems %A P. J. Browne %A B. D. Sleeman %J Inverse Problems %D 1997 %V 13(6) %F Browne1997 %0 Journal Article %T Reconstruction of singular non-self-adjoint differential operators with a singularity inside an interval %A V. A. Yurko %J Differential Equations %D 2002 %V 38(5) %F Yurko2002 %0 Book %T Inverse Spectral problems for Linear Differential Operators and their Applications %A V. A. Yurko %D 2000 %I Gordon and Breach %C New York %F Yurko2000 %0 Journal Article %T Discontinuous inverse eigenvalue problems %A O. H. Hald %J Comm. Pure Appl. Math. %D 1984 %V 37 %F Hald 1984 %0 Book %T The Sturm-Liouville operators and their applications %A V. A. Marchenko %D 1986 %I (Russian), (Kiev:Naukova Dumka) English transl %C Basel: Birkhauser Verlag %F 1986 %0 Journal Article %T The effect of discontinuities in density and shear velocity on the asymptotic overtone structure of to rational eigenfrequencies of the earth %A R. S. Anderssen %J Geophys. J. R. astr. Soc. %D 1997 %V 50 %F Anderssen1997 %0 Book %T Mathematical Methods in Quantum Mechanics %A G. Teschl %D 2009 %I With Applications to Schrödinger Operators, Graduate Studies in Mathematics, Amer. Math. Soc. %C Rhode Island %F Teschl 2009