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
N. B. Engibaryan, A. G. Barseghyan, Tr. Mosk. Mat. Obs., 85, no. 1, MCCME, M., 2024, 71–80
2018
2.
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
2017
3.
A. G. Barseghyan, “On approximate solution of the Dixon integral equation and some its generalizations”, Comput. Math. Math. Phys., 57:7 (2017), 1158–1166
4.
A. G. Barsegyan, “ZAMEChANIYa O RAZREShIMOSTI INTEGRALNOGO URAVNENIYa SVERTKI NA KONEChNOM PROMEZhUTKE”, Differentsialnye uravneniya, 53:3 (2017), 433–437
2015
5.
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
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
8.
A. G. Barseghyan, “On solution of convolution equation with sum-difference kernel”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki
2014
9.
N. B. Engibaryan, A. G. Barseghyan, “Transport equations”, Theoret. and Math. Phys., 180:2 (2014), 932–941
10.
A. G. Barseghyan, “Integral equations with substochastic kernels”, Eurasian Math. J., 5:4 (2014), 25–32
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. Barseghyan, “On solution of a two kernel equation represented by exponents”, Ufimsk. Mat. Zh., 3:4 (2011), 28–38
17.
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
18.
N. B. Engibaryan, A. Barseghyan, “Random walks and mixtures of Gamma-distributions”, Theory Probab. Appl., 55:3 (2011), 528–535
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
2004
21.
A. G. Barsegyan, “Uravneniya tipa vosstanovleniya s vpolne monotonnym yadrom”, Izvestiya NAN Armenii: Matematika, 39:3 (2004), 13–20http://mathematics.asj-oa.am/~336