Spectral problems for operators with deviating arguments

The topic of this paper are direct and inverse spectral boundary problems of the Sturm-Liouville type with two deviating arguments, one

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  • Bayramoğlu, M., Bayramov, A., Şen, E., A regularized trace formula for a discontinuous Sturm-Liouville operator with delayed argument, Electron. J. Differential Equations, Vol. 2017, No. 104, pp. 1-12, 2017.
  • Bayramoğlu, M., Özden Köklü, K., Baykal, O., On the spectral properties of the regular Sturm-Liouville problem with the lag argument for which its boundary conditions depends on the spectral parameter, Turkish J. Math, 26, 421-431, 2002.
  • Bayramov,A., Ozturk Uslu, S., Kizilbudak Caliskan, S., Computation of eigenvalues and eigenfunction of a discontinuous boundary value problem with retarded argument, Appl. Math. Comput. 191 , 592-600, 2007.
  • El'sgol'c, L. E., Norkin, S. B., Introduction into the theory of differential equations with a deviating argument, Nauka, Moscow, 1971.
  • Freiling, G. and Yurko, V. A., Inverse problems for Sturm-Liouville differential operators with a constant delay, Appl. Math. Lett., 25(17), 1999-2004, 2012.
  • Norkin, S. B., Differential Equations of the Second Order with Retarded Argument, Amer. Math. Soc., 2005.
  • Pavlović, N., Pikula, M., Vojvodić, B., First regularized trace of the limit assignment of Sturm-Liouville type with two constant delays, Filomat 29(1), 51-62, 2015.
  • Pikula, M. Regularized Traces of a Differential Operator of Sturm-Liouville Type with Retarded Argument, Differ. Uravn., vol. 26, no. 1, pp. 103-109, 1990.
  • Pikula, M., Čatrnja, E., Kalčo, I., Šaric, A., Solving Sturm-Liouville Type Differential Equa- tion With Two Deviating Arguments, Proceedings of IX International Scientific Conference "Science and Higher Education in Function of Sustainable Development-SED 2016", Užice, 76-80, 2016.
  • Pikula, M., Vojvodić, B., Pavlović, N., Construction of the solution of the boundary value problem with one delay and two potential and asymptotic of eigenvalues. Math. Montisnigri, Vol XXXII, 119-139, 2015.
  • Sadovnichii, V. A., Theory of Operators, Springer; 1991 edition, 1991.
  • Şen, E., Bayramov, A., Spectral analysis of boundary value problems with retarded argument, Commun. Fac. Sci. Univ. Ank. Series A1, Volume 66, Number 2, Pages 175-194, 2017.
  • Vojvodić, B., Pikula, M., Boundary value problem of differential operator of the Sturm- Liouville with $n$ constant delays and asymptotic of the eigenvalues. Math. Montisnigri, Vol XXXV, 2016.
  • Vojvodić, B., Pikula, M., Vladičić, V., Determining of the solution of the boundary value problem of the operator Strum-Liouville type with two constant delays. Proceedings, Fifth Symposium Mathematics and Applications, Faculty of Mathematics, University of Belgrade, V(1), 141-151, 2014.
  • Yurko, V. A., Introduction to the theory of inverse spectral problems. Moscow, Fizmatlit, 2007.