Convolution integral equations,
factorization, Ambartsumian equation method, numerical-analytical solution, kernel overage, two-sided continuation method, mixtures of gamma-distributions.
UDC:
517.968, 517.968.2
Subject:
Investigation of the questions of solvability of the scalar and vector linear integratal equations,
numerical-analitical methods of the solution for convolution integral equations.
Main publications:
A. G. Barsegyan, “O metode dvustoronnego prodolzheniya resheniya integralnogo uravneniya svertki na konechnom promezhutke”, Matem. zametki, 97:3 (2015), 323-335
A. G. Barsegyan, N. B. Engibaryan, “Priblizhennoe reshenie integralnykh i diskretnykh uravnenii Vinera–Khopfa”, Zh. vychisl. matem. i matem. fiz., 55:5 (2015), 836-845
A. G. Barseghyan, N. B. Engibaryan, “Approximate solution of Wiener–Hopf integral equations and its discrete counterparts”, Comput. Math. Math. Phys., 55:5 (2015), 834–843
N. B. Engibaryan, A. Barseghyan, “Random walks and mixtures of Gamma-distributions”, Theory Probab. Appl., 55:3 (2011), 528–535
5.
A. G. Barseghyan, “On a distribution of sums of identically distributed random variables”, Theory Probab. Appl., 57:1 (2013), 132–135
6.
A. G. Barseghyan, “On the Method of Two-Sided Continuation\protect\of Solutions of the Integral Convolution Equation\protect\on a Finite Interval”, Math. Notes, 97:3 (2015), 309–320
7.
A. G. Barseghyan, V. V. Ter-Avetisyan, “Point source of light in the center of a homogeneous sphere and in an infinite medium”, Astrophysics, 55:2 (2012), 275-291http://elibrary.ru/~item.asp?id=19414605
A. G. Barsegyan, “Ob integralnykh uravneniyakh yadra kotorykh odnorodnye funktsii stepeni (-1)”, Izvestiya NAN Armenii: Matematika, 53:1 (2018), 23–36http://mathematics.asj-oa.am/id/eprint/2585
9.
A. G. Barsegyan, “ZAMEChANIYa O RAZREShIMOSTI INTEGRALNOGO URAVNENIYa SVERTKI NA KONEChNOM PROMEZhUTKE”, Differentsialnye uravneniya, 53:3 (2017), 433–437
A. G. Barseghyan, “On solution of a two kernel equation represented by exponents”, Ufimsk. Mat. Zh., 3:4 (2011), 28–38
16.
N. B. Yengibaryan and A. G. Barseghyan, “Semiconservative Systems of Integral Equations with Two Kernels”, International Journal of Mathematics and Mathematical Sciences, 2011, Fixed-Point Theory, Variational Inequalities, and Its Approximation Algorithms, Special Issue (2011), Article ID 917951 , 11 pp., doi:10.1155/2011/917951 http://dx.doi.org/~10.1155/2011/917951
A. G. Barsegyan, “Integralnoe uravnenie s summarno-raznostnym yadrom na konechnom promezhutke”, Izvestiya NAN Armenii: Matematika, 40:3 (2005), 24–34http://mathematics.asj-oa.am/~id/eprint/602
19.
A. G. Barsegyan, “Uravneniya tipa vosstanovleniya s vpolne monotonnym yadrom”, Izvestiya NAN Armenii: Matematika, 39:3 (2004), 13–20http://mathematics.asj-oa.am/~336
20.
N. B. Engibaryan, A. G. Barseghyan, Tr. Mosk. Mat. Obs., 85, no. 1, MCCME, M., 2024, 71–80
21.
A. G. Barseghyan, “On approximate solution of the Dixon integral equation and some its generalizations”, Comput. Math. Math. Phys., 57:7 (2017), 1158–1166