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On the Scattering Data of Sturm-Liouville Problem with a Spectral Pararueter in the Boundary Condition

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Abstract (2. Language): 
In this paper, it is given the definition of the scattering data and the many properties of scattering data are investigat'ed for the difIerentia1 equation on half line containing a spectral parameter in the boundary condition y'(0) + (ao-1- ialX -t- a z~~) ) y=(O 0.
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REFERENCES

References: 

[I] V. A. Marchenko, Reconsti:uction of the potential energy from the phases
of the s1:attered waves, Dokl. Akad. Nnz~k SSSR 104, No:5 (1955))
695-698.
[2] V. A Marchenko, St~u~n-Liouville Operators and Applications,
Elirkhauser Verlag (1986).
[3] l3.M Levitan, The inverse scattering problem of quantum theory, Math.
Notes V.17 N.4 (1975) 611-624,
[4] A. N. Tilthonov, A. A. Samarskii, Equations of Mathe:matical Physics,
Dover, New York (1990).
[5] F. A. Binding, P. J. Brownle, B, A, Watson, Inverse spectral problems
for Sturm-Liouville equations with eigenparameter dependent boundary
conditions, J. London Matlt. Soc, (2) 62 (2000), 161-182.
[6] V. N. Pivovrtrchik, Direct and inverse three-point Sturm-Liouville problem
with param.eter-dependent boundary conditions, I'lsymptotic Anal.
26 (2001), 219-238.
[7] E:. A Pocheykina-Fedotova, On the inverse problem of boundary problem
for second order differential equation on the half line, Ixv. Vuxov 17
(19'72) 75-84,
[8] Kh. R. Mamedov, Uniqueness of solution of the inverse problem of
scattering theory with a spectral parameter in the boundary condition,
Math. Notes V, 74, Nc):l (2003) 3.36-140.
[9] Kh. R. Mamedov, H. Menken, Levinson's type formula for boundary
problem with a spectral parameter in the boundary condition, Ukr.
Adath. Jour. ( to appear ).
[lo] C. 'I' Fulton, Singular eigenvalue problems with eigenvalue-pa.rameter
contained in the bounda.ry conclitions, Proc. Soc. 1Sdinburgh Sec. A 87
(1980) 1-34.

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