Geodesic
Spectral Analysis of a Class of Non-Self-Adjoint Differential Operator Pencils with a Generalized Function
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 102-107

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We investigate the spectrum and solve the inverse problem for a pencil of non-self-adjoint second-order differential operators with a generalized function in the space $L_2(-\infty,+\infty)$.
Keywords: Schrodinger equation, Dirac delta function, spectral singularities, inverse problem.
Mots-clés : Jost solution 
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     author = {R. F. \`Efendiev},
     title = {Spectral {Analysis} of a {Class} of {Non-Self-Adjoint} {Differential} {Operator} {Pencils} with a {Generalized} {Function}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {145},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a4/}
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R. F. Èfendiev. Spectral Analysis of a Class of Non-Self-Adjoint Differential Operator Pencils with a Generalized Function. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 102-107. http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a4/