Dr. Hayk Asatryan

Research Interests

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

Publications

1. 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.
2. 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.
3. 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.
4. Asatryan H., Kirsch W. Random Schrödinger Operators with a Background Potential. – International Conference Harmonic Analysis and Approximations, VII, 2018, pp. 18-19, Tsaghkadzor, Armenia.
5. 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.
6. 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.
7. 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.
8. Asatryan H. A. On one formula of traces. – Proceedings of Yerevan State University, Physical and Mathematical Sciences, № 3 (2010), pp. 68-70.
9. 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.
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
15. Asatryan H. A. Inverse scattering problem for Sturm-Liouville operators. – Journal of Contemporary Mathematical Analysis, vol. 40, № 2 (2005), pp. 14-27.
16. 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.