An Inverse Spectral Problem for Second Order Differential Operators with Retarded Argument
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Non-self-adjoint second-order differential operators with a constant delay are studied. Properties of spectral characteristics are established and the inverse problem of recovering operators from their spectra is investigated. For this nonlinear inverse problem an algorithm for constructing the global solution is developed.
KeywordsDifferential operators retarded argument inverse spectral problems
Mathematics Subject Classification34A55 34K10 34K29 47E05 34B10 34L40
This work was supported in part by Grant 1.1660.2017/4.6 of the Russian Ministry of Education and Science and by Grant 19-01-00102 of Russian Foundation for Basic Research.
- 6.Levitan, B.M.: Inverse Sturm-Liouville Problems, Nauka, Moscow, 1984; Engl. transl., VNU Sci.Press, Utrecht, (1987)Google Scholar
- 7.Marchenko, V.A.: Sturm-Liouville Operators and Their Applications, Naukova Dumka, Kiev, 1977. English transl, Birkhäuser (1986)Google Scholar
- 8.Myshkis, A.D.: Linear Differential Equations with a Delay Argument. Nauka, Moscow (1972)Google Scholar
- 11.Yurko, V.A.: Method of Spectral Mappings in the Inverse Problem Theory. Inverse and Ill-posed Problems Series, VSP, Utrecht (2002)Google Scholar