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. Barsegyan, “Ob integralnykh uravneniyakh yadra kotorykh odnorodnye funktsii stepeni (-1)”, Izvestiya NAN Armenii: Matematika, 53:1 (2018), 23–36 http://mathematics.asj-oa.am/id/eprint/2585
2017
2.
A. G. Barseghyan, “On approximate solution of the Dixon integral equation and some its generalizations”, Comput. Math. Math. Phys., 57:7 (2017), 1158–1166
3.
A. G. Barsegyan, “ZAMEChANIYa O RAZREShIMOSTI INTEGRALNOGO URAVNENIYa SVERTKI NA KONEChNOM PROMEZhUTKE”, Differentsialnye uravneniya, 53:3 (2017), 433–437
2015
4.
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
7.
A. G. Barseghyan, “On solution of convolution equation with sum-difference kernel”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki
2014
8.
N. B. Engibaryan, A. G. Barseghyan, “Transport equations”, Theoret. and Math. Phys., 180:2 (2014), 932–941
9.
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
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
17.
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
20.
A. G. Barsegyan, “Uravneniya tipa vosstanovleniya s vpolne monotonnym yadrom”, Izvestiya NAN Armenii: Matematika, 39:3 (2004), 13–20http://mathematics.asj-oa.am/~336