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Khachatryan

Խաչատրյան Աղավարդ Խաչատուրի

Ծնվել է՝ 26.05.1959

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Կրթություն և վերապատրաստում
1981-1985թթ. ասպիրանտուրա, ՀՀ ԳԱԱ, «Դիֆերենցիալ հավասարումներ» մասնագիտությամբ
1976-1981թթ. սովորել և ավարտել է Երևանի պետական համալսարանի Ֆիզիկայի ֆակուլտետը՝ «Տեսական և մաթեմատիկական ֆիզիկա» մասնագիտությամբ:

Աշխատանքային փորձ
2004 թվից մինչև օրս ՀՀ ԳԱԱ, Մաթեմատիկայի ինստիտուտ, մաթ. ֆիզմեթոդներ բաժին, համատեղությամբ առաջատար գիտաշխատող
2000 թվից մինչև օրս ՀԱԱՀ, Բարձրագույն մաթեմատիկայի և տեսական մեխանիկայի ամբիոն, վարիչ
1987-2000թթ. Բյուրականի աստղադիտարան, գիտաշխատող, առաջատար գիտաշխատող:

Գիտական գործունեություն
2003թ. պրոֆեսոր
1998թ. ֆիզմաթ գիտությունների դոկտոր
1987թ. ֆիզմաթ գիտությունների թեկնածու:

Գիտաժողովների մասնակցություն և միջազգային համագործակցություն
1993 Member of New-York Academy of Sciences, USA.
1995 France-Armenian international conference. Byurakan Astrophysical Observatory
2002 ISAAC conference on Complex analysis Differential equations and Related topics. Yerevan, Armenia
2004 International Workshop Global and Geometric aspects of nonlinear PDF. Yerevan, Armenia
2005 International Conference Harmonic Analysis and Approxinations. Tsaghkadzor, Armenia
2005 Member of scientific board of the International Journal of Pure and Applied Math. Sciences
2006 Russian-Armenia Workshop Mathematical physics and Related topics. Yerevan, Armenia
2008 Second russian-Armenian Workshop Mathematical physics, complex analisis and Related topics, Moscow, Russia
2008 International conference Multivariate statistical analysis and Econometrics. Moscow, Russia 2010 Third russian-Armenian Workshop on Mathematical physics, complex analysis, and related topics. Tsaghkadzor, Armenia
2010 Третье Российско-Армянское совещание по мтематической физике, комплексному анализу и смежным вопросам. “О нетривиальмой разрешимости одного нелинейного интегро-дифференциального уравнения первого порядка”. Цахкадзор, Армения
2012 Armenia nMathematical Union, Annual Session, Abstracts, “О некоторых нелинейных интегральных уравнениях суммарно-разностными ядрами”, YeravanStateUniversity, Armenia
2012 4th Russian-Armenian workshop on mathematical physics, complex analysis and related topics. Abstracts. ”On the solvability of some classes of nonlinear integral and integro-differentiale quations with sum-differencekernelson a semiaxis”. Krasnoyarsk, (Russia), Siberian Federal University, Steklov Mathematical Institute of Russian Academy of Sciences, Institute of Mathematics of National Academy of Sciences of Republic Armenia
2014 Пятое Российско-Армянское Совещание по математической физике, комплексному анализу и смежным вопросам. “Некоторые вопросы пазрешимости стационарного модельного уравнения Больцмана в нелинейном и линейном случаях”. Ереван, Институт математики им. Стеклова РАН

Միջազգային ամսագրերում հրատարակված հոդվածներ

  1. A.Kh.Khachatryan, Kh.A Khachatryan, “Hammerstein-Nemitski type nonlinear integral equations on half-line in space ”, Acta.Univ.Palacki.Olomuc.,Fac.rar.nat., Mathematica, v.52, №1, 89-100, 2013
  2. В.М.Кахкцян, А.Х.Хачатряан, “Об аналитическо-численном решении одного нелинейного интегро-дифференциального уравнения, возникающего в эконометрике”, Журнал Вычислительной Математики и Математической Физики, т. 53, №7, 90-94, 2013.
  3. A.Kh.Khachatryan, Kh.A.Khachatryan, Qualitative difference between solutions for a model Boltzmann equation in the linear and nonlinear cases. Theoretical and Mathematical Physics, 2012, vol.172, №3, pp.1315-1320.
  4. A.Kh.Khachatryan, Kh.A. Khachatryan. On solvability of a nonlinear problem in theory of income distribution. Eurasian Math. J. vol.2, №2,pp. 75–88, 2011.
  5. A.Kh.Khachatryan, Kh.A. Khachatryan. On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equation on a semiaxis. Ukrainian Mathematical Journal, vol. 63, № 1, pp. 134-145, 2011.
  6. A.Kh.Khachatryan, Kh.A. Khachatryan. Existence and uniqueness theorem for a Hammerstein nonlinear integral equation. Opuscula, Mathematica, Poland., vol. 31, 3, pp. 393-398, 2011.
  7. A.Kh.Khachatryan, Kh.A. Khachatryan. On convolution type nonlinear integral equations, containing singular and discrete probability distributions. Advances and Applications in Mathematical Sciences. India. vol 5, №1, стр. 1-16, 2010.
  8. A.Kh.Khachatryan and Kh.A. Khachatryan. A nonlinear integral equation of Hammerstein type with a noncompact operator. Math. Sbornik, vol. 201, № 4, pp. 595-606, 2010.
  9. A.Kh.Khachatryan and Kh.A. Khachatryan. On the solvability of a nonlinear integro-differential equation arising in the income distribution problem. J. Computational Mathematics and Math. Physics. vol 50, №10, pp. 1702-1711, 2010.
  10. A.Kh.Khachatryan, Kh.A. Khachatryan. On solvability of one class Hammerstein nonlinear integral equations. Buletinul Academiei Stinte a Republicii Moldova, Mathematica, vol 63, №2, pp. 67-83, 2010.
  11. A.Kh.Khachatryan, Kh.A. Khachatryan. On an integral equation with monotonic nonlinearity. Memoirs on Differential equations and Mathematical Physics. vol. 51, № 3, pp. 59-72, 2010.
  12.  A.Kh.Khachatryan, Kh.A. Khachatryan. On an integro-differential equation in the problem of wealth distribution. J. Economics and Math. Methods, vol. 45, № 4, pp. 90-105, 2009. (in Russian).
  13. A.Kh.Khachatryan and T.E. Terdzhyan. About one system of integral equations in kinetic theory. J. Computational Mathematics and Math. Physics. vol.49, № 4, 691-697, 2009.
  14. A.Kh.Khachatryan, Kh.A. Khachatryan. On some systems of convolution-type first-order integro-differential equations on the semiaxis. Ukrainian Mathematical Journal. vol. 61, № 9, pp. 1511-1528, 2009.
  15. A.Kh. Khachatryan, Kh.A. Khachatryan. Factorization of one convolution-type integro-differential equation on positive half line. Ukrainian math. Journal, vol 60, №11, 1555-1567, 2008.
  16. N.B. Engibaryan and A. Kh. Khachatryan. Integro-differential equation of non-local wave interaction. Math.Sbornik, vol. 198, № 6, pp. 839-855, 2007.
  17. A.Kh. Khachatryan, Ts.E. Terjyan. Wiener-Hopf Equation: Kernels Representable as a Superposition of Complex-Valued, Journal of Contemporary Mathematical Analysis, v. 42; № 5; pp. 241-246, 2007.
  18. A.Kh. Khachatrya., Ambartsumian equation in physical kinetics. Journal of Contemporary Mathematical Analysis, vol. 41, № 5, pp. 16-25, 2006.
  19. A.Kh. Khachatryan, Kh. А. Khachatryan. Solvability of a boundary value problem of physical kinetics. Journal of Contemporary Mathematical Analysis. vol. 41, № 6, pp. 47-56. 2006.
  20. A.Kh. Khachatryan, Kh. A. Khachatryan. On solvability of some integro -differential equations with sum- difference kernels. International Journal of Pure and Applied Math. Sciences, India. v. 2, №1, pp. 1-13, 2005.
  21. A.Kh. Khachatryan, S. M. Andriyan “On One Problem in Physical Kinetics”, Comp. Mathematics and Mathematical Physics, Vol. 45, № 11, pp. 1982-1989, 2005.
  22. N.B. Yengibaryan , A. Kh. Khachatryan. On nonlinear theory dynamics of dilute gas. J. Math. Modeling, vol. 16, № 1, pp. 67-74, 2004.(in Russian).
  23. A.Kh. Khachatryan, S. M. Andriyan. On a rarefied gas velocity shock in the linearized BGK model of Boltzmann equation., J. Math. Modeling, vol. 16, № 2, pp. 31-42, 2004.(in Russian).
  24. N. B. Yengibaryan, A. Kh. Khachatrian. On Temperature and Density Jumps in Kinetic Theory of Cases. Horizons in World of Physics. Nova Science Publisher, vol 240, pp. 103-117, 2003.
  25. A.Kh. Khachatryan, A. N. Afyan . On Analytical and Numerical Solutions to the Radiative Transfer Problem with a Reflecting Surface. J. Comp. Mathematics and Mathematical Physics, Vol. 41, № 8, pp. 1158-1168, 2001.
  26. N. B. Eengibaryan, A. Kh. Khachatryan. Exact linearization of the sliding problem for a dilute gas in the Bhatnagar-Gross-Krook model. Theoretical and Mathematical Physics. vol. 125, № 2, pp. 339-342, 2000.
  27. A.Kh. Khachatryan, N. B. Yengibaryan “Some Convolution-type Integral Equations in Kinetic Theory”, Comp. Mathematics and Mathematical Physics, vol. 38, № 3, pp. 452-467, 1998.
  28. N. B. Engibaryan, A. Kh. Khachatryan M. G. Muradian. On Ambartsumian Equation and its Applications. Docl. National Academy of Sciences Republic of Armenia, vol. 98, № 3, pp. 197-207, 1998.
  29. A.Kh. Khachatryan, K.V. Papoyan. On one convolution integral equation in kinetic theory of gases. Izv. National Academy of Sciences of Armenia (mathematics), vol. 32, № 1, pp. 84-92, 1997.(in Russian).
  30. N. B. Yengibarian, A. Kh. Khachatrian. Formation of spectral lines in stellar atmospheres. Linear and nonlinear theory. Astrophysica, vol.38, № 4, pp. 565-571, 1995.
  31. A.Kh. Khachatrian. On one non-stationary transfer problem for partial laws of frequency redistribution. Astrophysica, vol.38, № 1, pp. 89-100, 1995.(in Russian)
  32. A.Kh. Khachatrian. On one numerical method of solution of coherent and incoherent scattering problem. Astrophysics and Space Science, vol. 215, pp. 17-35, 1994.
  33. A.Kh. Khachatrian and G.H.Amalian. “On one Problem of Gamma-Quantum Multiple Resonance Scattering”. J. Integral Eq. Math. Phys., vol. 1, № 1, pp. 126-139, 1992.
  34. A.Kh. Khachatrian, A.A. Hakopian and E.A. Melkonian. A matrix solution method for non-conerent scattering problems. J.Quant. Spectrosc. Radiat. Transfer, vol. 45, № 6, pp. 367-376, 1991.
  35. N. B. Yengibarian and A. Kh. Khachatrian. On a problem of multiple resonance scattering of Gamma-Ray Quanta. J.Quant. Spectrosc. Radiat. Transfer, vol. 46, № 6, pp. 565-575, 1991.
  36. A.Kh. Khachatrian. Nonlinear problem of polychromatic scattering; application to the Na ID-line. Astrophysics and Space Science, vol. 172, pp. 167-184, 1990.
  37. A.Kh. Khachatryan, A.A. Hakopyan. Absorption line profiles in a plane layer. Izv. Academy of Sciences of Armenia SSR. vol. 24, № 1, pp. 14-19, 1989.(in Russian).
  38.  A.Kh. Khachatryan. On nonlinear problems of incoherent scattering in the presence of internal sources. Izv. Academy of Sciences of Armenia SSR. vol. 23, № 6, pp. 309-318, 1988. (in Russian).
  39. R.S. Vardanyan, A. Kh. Khachatryan. On one nonlinear problem of polychromatic scattering under general laws of frequency redistribution. Izv. Academy of Sciences of Armenia SSR. vol. 21, № 2, pp. 93-96, 1986. (in Russian).
  40. A.Kh. Khachatrian, A.A. Hakopian. On absorption and emission profiles in nonlinear problem of resonance scattering. Astrophysica, vol. 25, № 1, pp. 189-195, 1986. (in Russian).
  41. A.Kh. Khachatryan. On the problem of nonlinear transfer in case of anisotropic scattering. Izv. Academy of Sciences of Armenia SSR. vol. 20, № 5, pp. 265-272, 1985. (in Russian).
  42. A.Kh. Khachatrian, A.A. Hakopian. On a nonlinear problem of non coherent scattering in a one-dimensional medium. Astrophysica, vol. 23, № 3, pp. 569-581, 1985. (in Russian).
  43. R.S. Vardanyan, A. Kh. Khachatryan. Application of the Invariance Principle in the Dynamic Theory of X-Ray Scattering. Phys. stat. sol. (a), vol. 86, pp. 73-78, 1985.
  44. A.Kh. Khachatrian. “On the Problem of Non coherent Scattering”. Astrophysica, vol. 23, № 1, pp. 206-211, 1985. (in Russian).
  45. M.S. Gevorkian, A. Kh. Khachatrian. On the problem of non coherent scattering in one-dimensional medium. Astrophysica, vol. 22, № 3, pp. 599-612, 1985. (in Russian).
  46. A.Kh. Khachatrian. On the solution of nonlinear problem of non coherent anisotropic scattering. Astrophysica, vol. 23, № 2, pp. 349-362, 1985. (in Russian).
  47. N. B. Yengibarian , A. Kh. Khachatrian. Nonlinear transfer problem in case of general laws of frequency redistribution. Astrophysica, vol. 23, № 1, pp. 145-161, 1985. (in Russian).

Լեզուների իմացություն
Հայերեն, ռուսերեն, անգլերեն (անգլերեն լեզվի թարգմանիչի որակավորում Մաթեմատիկոս և ֆիզիկոս մասնագիտությունների գծով)

Հավելյալ տեղեկություն
2010 ՀՀ Կրթության և գիտության նախարարության ոսկե մեդալ,
2008 ՀՊԱՀ-ի լավագույն դասախոս,
2001 Միջազգային գիտա-տեխնիկական կենտրոն (MNTC) միջազգային դրամաշնորհ,
1993 Միջազգային գիտական հիմնադրամի դրամաշնորհ

 

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