# Dr. Hayk Asatryan

Photo: Hardy Welsch

## Research Interests

Random differential operators, Direct and inverse problems in spectral theory of differential operators and their applications

## Publications

- Asatryan H., Kirsch W.
*Random Schrödinger operators with a background potential.*– Random Operators and Stochastic Equations, Volume 27, Issue 4 (2019), pp. 253-259, DOI: 10.1515/rose-2019-2022, ISSN (Online) 1569-397X, ISSN (Print) 0926-6364. - Asatryan H. A., Kamalyan A. H., Karakhanyan M. I.
*On a Class of Integro-Difference Equations.*– Reports of National Academy of Sciences of the Republic of Armenia, vol. 119, № 2 (2019), pp. 103-109. - Asatryan H. A., Kamalyan A. H., Karakhanyan M. I.
*On**𝓛**-convolution Type Operators with**Semi-Almost Periodic Symbols.*– Reports of National Academy of Sciences of the Republic of Armenia, vol. 119, № 1 (2019), pp. 22-28. - Asatryan H., Kirsch W.
*Random Schrödinger Operators with a Background Potential.*– International Conference Harmonic Analysis and Approximations, VII, 2018, pp. 18-19, Tsaghkadzor, Armenia. - Kirsch A., Asatryan H.
*The interior transmission eigenvalue problem for a spherically-symmetric domain with anisotropic medium and a cavity.*– Journal of Inverse and Ill-Posed Problems, Volume 23, Issue 4 (2015), pp. 299-307, DOI: 10.1515/jiip-2014-0021, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219. - Kirsch A., Asatryan H.
*The Interior Transmission Eigenvalue Problem for a Spherically-Symmetric Domain with Anisotropic Medium and a Cavity.*– Armenian Mathematical Union Annual Session, dedicated to the 100th anniversary of Professor Haik Badalyan, 2015, p. 64, Yerevan, Armenia. - Asatryan H. A., Sargsyan T. V.
*Some properties of generalized eigenfunctions of one class of differential operators.*– Proceedings of Yerevan State University, Physical and Mathematical Sciences, № 1 (2012), pp. 3-9. - Asatryan H. A.
*On one formula of traces.*– Proceedings of Yerevan State University, Physical and Mathematical Sciences, № 3 (2010), pp. 68-70. - Asatryan H. A., Kamalyan A. H., Khachatryan I. G., Kharakhanyan M. I.
*Banach Algebras and Spectral Theory*(in Armenian). – Publishing Company of Yerevan State University, 2008, 252 pages. - Asatryan H. A., Harutyunyan T. N., Kamalyan A. H., Khachatryan I. G., Kharakhanyan M. I., Tepoyan L. P.
*Collection of Yearly Essays and Graduation Theses*(in Armenian). – Publishing Company of Yerevan State University, 2008, 48 pages. - Asatryan H. A., Khachatryan I. G.
*Solution of the Korteweg-De Vries equation by the method of inverse scattering problem*(in Russian)*.*– Proceedings of Yerevan State University, Natural Sciences, № 3 (2006), pp. 16-20. - Khachatryan I. G., Asatryan H. A.
*About the solution of the Korteweg-De Vries equation by the method of the inverse scattering problem*(in Russian)*.*– Russian-Armenian working meeting "Mathematical Physics and Adjacent Questions", 2006, p. 40, Yerevan, Armenia. - Asatryan H. A.
*Analysis of the point spectrum of the Sturm-Liouville operator with certain behavior of potential at infinity*(in Russian)*.*– Proceedings of Yerevan State University, Natural Sciences, № 1 (2006), pp. 23-28. - Asatryan H. A.
*Analysis of Point Spectrum and the Inverse Scattering Problem for the Sturm - Liouville Operator with Certain Behavior of Potential at Infinity*(in Russian). – Reports of National Academy of Sciences of the Republic of Armenia, vol. 106, № 1 (2006), pp. 27-30. - Asatryan H. A.
*Inverse scattering problem for Sturm-Liouville operators.*– Journal of Contemporary Mathematical Analysis, vol. 40, № 2 (2005), pp. 14-27. - Asatryan H. A.
*The inverse quantum scattering problem for Sturm-Liouville operator with certain behavior of the potential at infinity.*– International Conference Harmonic Analysis and Approximations, III, 2005, pp. 9-10, Tsaghkadzor, Armenia.

10.05.2024