# zbMATH — the first resource for mathematics

## Khachatryan, Khachatur Aghavardovich

Compute Distance To:
 Author ID: khachatryan.khachatur-a Published as: Khachatryan, K. A.; Khachatryan, Kh A.; Khachatryan, Kh.; Khachatryan, Kh. A.; Khachatryan, Khachatur A.; Khachatryan, Khachatur Agavardovich; Khachatryan, Khachatur Aghavardovich External Links: Math-Net.Ru · Wikidata · ORCID · ResearchGate
 Documents Indexed: 86 Publications since 2002
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#### Co-Authors

 27 single-authored 27 Khachatryan, Aghavard Khachaturovich 7 Terdzhyan, Tsolak Ernestovich 5 Petrosyan, Haykanush S. 5 Sardaryan, Tigran H. 4 Broyan, Marine Firdusovich 4 Khachatryan, Emilya A. 3 Andriyan, Sil’va Mikhaĭlovna 3 Petrosyan, Aĭkanush Sabelovna 2 Kostanyan, Mikael G. 2 Kroyan, Arpenik Kolyaevna 1 Avetisyan, M. H. 1 Avetisyan, M. O. 1 Azizyan, H. O. 1 Grigoryan, Suren Arshakovich 1 Khachatryan, H. A. 1 Petrosyan, Aĭkanush Samvelovna 1 Sardanyan, T. G. 1 Sergeev, Armen Glebovich 1 Sisakyan, A. A. 1 Terdjyan, Tsolak E.
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#### Serials

 12 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Theoretical and Mathematical Physics 5 Izvestiya: Mathematics 5 Proceedings of the Yerevan State University. Physical and Mathematical Sciences 4 Transactions of the Moscow Mathematical Society 4 Differential Equations 4 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 3 Ukrainian Mathematical Journal 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 3 Matematicheskie Trudy 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Russian Mathematics 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Eurasian Mathematical Journal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki 2 Journal of Siberian Federal University. Mathematics & Physics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Opuscula Mathematica 1 Sbornik: Mathematics 1 Trudy Instituta Matematiki 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Journal of Mathematical Physics, Analysis, Geometry 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Advances and Applications in Mathematical Sciences
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#### Fields

 70 Integral equations (45-XX) 32 Operator theory (47-XX) 10 Partial differential equations (35-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

43 Publications have been cited 94 times in 44 Documents Cited by Year
On solvability of a nonlinear problem in theory of income distribution. Zbl 1258.45004
Khachatryan, A.; Khachatryan, Kh.
2011
On the solvability of a boundary value problem in $$p$$-adic string theory. Zbl 1411.45004
Khachatryan, Kh. A.
2018
Qualitative difference between solutions for a model of the Boltzmann equation in the linear and nonlinear cases. Zbl 1282.82028
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2012
On the solubility of certain classes of non-linear integral equations in $$p$$-adic string theory. Zbl 1395.45010
Khachatryan, Khachatur A.
2018
On a class of nonlinear integral equations with a noncompact operator. Zbl 1302.45013
Khachatryan, Kh. A.
2011
Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis. Zbl 1209.47024
Khachatryan, Kh. A.
2010
On the solvability of some nonlinear integral equations in problems of epidemic spread. Zbl 07174827
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2019
On solvability of one class of nonlinear integral equations on whole line with a weak singularity at zero. Zbl 1390.45011
Khachatryan, Khachatur A.
2017
Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave. Zbl 1359.76177
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2016
Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases. Zbl 1308.35154
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2014
On an integral equation with monotonic nonlinearity. Zbl 1220.45003
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
On the solvability of a nonlinear integro-differential equation arising in the income distribution problem. Zbl 1224.45013
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
A uniqueness theorem for a nonlinear singular integral equation arising in $$p$$-adic string theory. Zbl 1436.45003
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2019
A one-parameter family of bounded solutions for a system of nonlinear integral equations on the whole line. Zbl 1402.45006
Khachatryan, Kh. A.; Terdzhyan, Ts. É.; Avetisyan, M. O.
2018
Hammerstein-Nemytskii type nonlinear integral equations on half-line in space $$L_1(0,+\infty )\cap L_{\infty}(0,+\infty)$$. Zbl 1290.45001
Khachatryan, Aghavard Kh.; Khachatryan, Khachatur A.
2013
On solvability in $$W_1^1(\mathbb R^+)$$ of a nonlinear integro-differential equation with a noncompact Hammerstein-Nemytskiĭ operator. Zbl 1279.45010
Khachatryan, Kh. A.
2013
On a class of integral equations of Urysohn type with strong non-linearity. Zbl 1245.45005
Khachatryan, Kh A.
2012
Existence and uniqueness theorem for a Hammerstein nonlinear integral equation. Zbl 1228.45007
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2011
On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators. Zbl 1240.45012
Khachatryan, Kh. A.
2010
A nonlinear integral equation of Hammerstein type with a noncompact operator. Zbl 1204.45006
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
Sufficient conditions for the solvability of the Urysohn integral equation on a half-line. Zbl 1195.45011
Khachatryan, Kh. A.
2009
Factorization of a convolution-type integro-differential equation on the positive half line. Zbl 1199.45022
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2008
Solvability of convolution type integro-differential equations on $$\mathbb R$$. Zbl 1151.45008
Khachatryan, Khachatur A.; Khachatryan, Emilya A.
2007
The solvability of a system of nonlinear integral equations of Hammerstein type on the whole line. Zbl 1434.45004
Khachatryan, Khachatur Agavardovich
2019
On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis. Zbl 1432.45005
Khachatryan, Kh. A.; Andriyan, S. M.; Sisakyan, A. A.
2018
The existence of odd solution for one boundary-value problem with power nonlinearity. Zbl 1438.45004
Khachatryan, Kh. A.; Kroyan, A. K.
2018
On the solvability of one class of two-dimensional Urysohn integral equations. Zbl 1413.45019
Khachatryan, Kh. A.
2017
On the solvability of one class of nonlinear integral equations in $$L_1(0,+\infty)$$. Zbl 1374.45004
Khachatryan, K. A.; Terdzhyan, T. E.
2015
On the solvability of one class of nonlinear integral equations with a noncompact Hammerstein-Stieltjes-type operator on the semiaxis. Zbl 1384.45006
Khachatryan, Kh. A.; Petrosyan, A. S.
2015
Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line. Zbl 1317.45003
Khachatryan, Kh A.
2015
On the nontrivial solvability of a nonlinear integral equation of Hammerstein-Volterra type. Zbl 1326.45005
Khachatryan, Kh. A.; Grigoryan, S. A.
2012
Nontrivial solvability of a class of nonlinear integro-differential equations of second order. Zbl 1340.35358
Khachatryan, Kh. A.
2012
Solvability of some classes of nonlinear integro-differential equations with noncompact operator. Zbl 1242.45008
Khachatryan, Kh. A.; Khachatryan, E. A.
2011
Construction of a nontrivial solution of a system of nonlinear integro-differential equations. Zbl 1302.35387
Khachatryan, Kh. A.
2010
On some systems of nonlinear integral Hammerstein-type equations on the semiaxis. Zbl 1224.45014
Khachatryan, Kh. A.
2010
On convolution-type nonlinear integral equations, containing singular and discrete probability distributions. Zbl 1211.45004
Khachatryan, Aghavard Kh.; Khachatryan, Khachatur A.
2010
On solvability of one class of Hammerstein nonlinear integral equations. Zbl 1205.45007
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
On some systems of convolution-type first-order integro-differential equations on the semiaxis. Zbl 1224.45012
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2009
One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line. Zbl 1186.45006
Khachatryan, Kh. A.
2009
On an integro-differential equation with almost difference kernel on the half-line. Zbl 1179.45011
Khachatryan, Kh. A.; Khachatryan, E. A.
2008
Factorization of convolution type vector integro-differential equations. Zbl 1153.45008
Khachatryan, Kh. A.; Kostanyan, M. G.
2008
Solvability of a conservative integral equation on the half-line. Zbl 1160.45300
Khachatryan, Kh. A.
2002
Application of the albedo shifting method to an integral equation. Zbl 1064.45003
Khachatryan, Kh. A.
2002
On the solvability of some nonlinear integral equations in problems of epidemic spread. Zbl 07174827
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2019
A uniqueness theorem for a nonlinear singular integral equation arising in $$p$$-adic string theory. Zbl 1436.45003
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2019
The solvability of a system of nonlinear integral equations of Hammerstein type on the whole line. Zbl 1434.45004
Khachatryan, Khachatur Agavardovich
2019
On the solvability of a boundary value problem in $$p$$-adic string theory. Zbl 1411.45004
Khachatryan, Kh. A.
2018
On the solubility of certain classes of non-linear integral equations in $$p$$-adic string theory. Zbl 1395.45010
Khachatryan, Khachatur A.
2018
A one-parameter family of bounded solutions for a system of nonlinear integral equations on the whole line. Zbl 1402.45006
Khachatryan, Kh. A.; Terdzhyan, Ts. É.; Avetisyan, M. O.
2018
On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis. Zbl 1432.45005
Khachatryan, Kh. A.; Andriyan, S. M.; Sisakyan, A. A.
2018
The existence of odd solution for one boundary-value problem with power nonlinearity. Zbl 1438.45004
Khachatryan, Kh. A.; Kroyan, A. K.
2018
On solvability of one class of nonlinear integral equations on whole line with a weak singularity at zero. Zbl 1390.45011
Khachatryan, Khachatur A.
2017
On the solvability of one class of two-dimensional Urysohn integral equations. Zbl 1413.45019
Khachatryan, Kh. A.
2017
Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave. Zbl 1359.76177
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2016
On the solvability of one class of nonlinear integral equations in $$L_1(0,+\infty)$$. Zbl 1374.45004
Khachatryan, K. A.; Terdzhyan, T. E.
2015
On the solvability of one class of nonlinear integral equations with a noncompact Hammerstein-Stieltjes-type operator on the semiaxis. Zbl 1384.45006
Khachatryan, Kh. A.; Petrosyan, A. S.
2015
Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line. Zbl 1317.45003
Khachatryan, Kh A.
2015
Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases. Zbl 1308.35154
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2014
Hammerstein-Nemytskii type nonlinear integral equations on half-line in space $$L_1(0,+\infty )\cap L_{\infty}(0,+\infty)$$. Zbl 1290.45001
Khachatryan, Aghavard Kh.; Khachatryan, Khachatur A.
2013
On solvability in $$W_1^1(\mathbb R^+)$$ of a nonlinear integro-differential equation with a noncompact Hammerstein-Nemytskiĭ operator. Zbl 1279.45010
Khachatryan, Kh. A.
2013
Qualitative difference between solutions for a model of the Boltzmann equation in the linear and nonlinear cases. Zbl 1282.82028
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2012
On a class of integral equations of Urysohn type with strong non-linearity. Zbl 1245.45005
Khachatryan, Kh A.
2012
On the nontrivial solvability of a nonlinear integral equation of Hammerstein-Volterra type. Zbl 1326.45005
Khachatryan, Kh. A.; Grigoryan, S. A.
2012
Nontrivial solvability of a class of nonlinear integro-differential equations of second order. Zbl 1340.35358
Khachatryan, Kh. A.
2012
On solvability of a nonlinear problem in theory of income distribution. Zbl 1258.45004
Khachatryan, A.; Khachatryan, Kh.
2011
On a class of nonlinear integral equations with a noncompact operator. Zbl 1302.45013
Khachatryan, Kh. A.
2011
Existence and uniqueness theorem for a Hammerstein nonlinear integral equation. Zbl 1228.45007
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2011
Solvability of some classes of nonlinear integro-differential equations with noncompact operator. Zbl 1242.45008
Khachatryan, Kh. A.; Khachatryan, E. A.
2011
Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis. Zbl 1209.47024
Khachatryan, Kh. A.
2010
On an integral equation with monotonic nonlinearity. Zbl 1220.45003
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
On the solvability of a nonlinear integro-differential equation arising in the income distribution problem. Zbl 1224.45013
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators. Zbl 1240.45012
Khachatryan, Kh. A.
2010
A nonlinear integral equation of Hammerstein type with a noncompact operator. Zbl 1204.45006
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
Construction of a nontrivial solution of a system of nonlinear integro-differential equations. Zbl 1302.35387
Khachatryan, Kh. A.
2010
On some systems of nonlinear integral Hammerstein-type equations on the semiaxis. Zbl 1224.45014
Khachatryan, Kh. A.
2010
On convolution-type nonlinear integral equations, containing singular and discrete probability distributions. Zbl 1211.45004
Khachatryan, Aghavard Kh.; Khachatryan, Khachatur A.
2010
On solvability of one class of Hammerstein nonlinear integral equations. Zbl 1205.45007
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2010
Sufficient conditions for the solvability of the Urysohn integral equation on a half-line. Zbl 1195.45011
Khachatryan, Kh. A.
2009
On some systems of convolution-type first-order integro-differential equations on the semiaxis. Zbl 1224.45012
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2009
One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line. Zbl 1186.45006
Khachatryan, Kh. A.
2009
Factorization of a convolution-type integro-differential equation on the positive half line. Zbl 1199.45022
Khachatryan, A. Kh.; Khachatryan, Kh. A.
2008
On an integro-differential equation with almost difference kernel on the half-line. Zbl 1179.45011
Khachatryan, Kh. A.; Khachatryan, E. A.
2008
Factorization of convolution type vector integro-differential equations. Zbl 1153.45008
Khachatryan, Kh. A.; Kostanyan, M. G.
2008
Solvability of convolution type integro-differential equations on $$\mathbb R$$. Zbl 1151.45008
Khachatryan, Khachatur A.; Khachatryan, Emilya A.
2007
Solvability of a conservative integral equation on the half-line. Zbl 1160.45300
Khachatryan, Kh. A.
2002
Application of the albedo shifting method to an integral equation. Zbl 1064.45003
Khachatryan, Kh. A.
2002
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#### Cited by 30 Authors

 34 Khachatryan, Khachatur Aghavardovich 9 Khachatryan, Aghavard Khachaturovich 4 Petrosyan, Haykanush S. 3 Andriyan, Sil’va Mikhaĭlovna 3 Khachatryan, Emilya A. 2 Aref’eva, Irina Yaroslavna 2 Broyan, Marine Firdusovich 2 Kostanyan, Mikael G. 2 Petrosyan, Aĭkanush Sabelovna 2 Terdzhyan, Tsolak Ernestovich 2 Volovich, Igor’ Vasil’evich 2 Yuldashev, Tursun Kamaldinovich 2 Zarifzoda, S. K. 1 Azizyan, H. O. 1 Berest, Yuri Yu. 1 Das, Payel 1 Engibaryan, Norayr B. 1 Kakhktsyan, Varazdat Mnatsakanovich 1 Khachatryan, George 1 Khachatryan, H. A. 1 Kroyan, Arpenik Kolyaevna 1 Nahid, Nilofar 1 Nelakanti, Gnaneshwar 1 Petrosyan, Aĭkanush Samvelovna 1 Ramadoss, Ajay C. 1 Sardanyan, T. G. 1 Sardaryan, Tigran H. 1 Sendova, Kristina P. 1 Sisakyan, A. A. 1 Yang, Chen
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#### Cited in 26 Serials

 9 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Russian Mathematics 2 Izvestiya: Mathematics 2 Matematicheskie Trudy 2 Lobachevskii Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 Journal of High Energy Physics 1 Differential Equations 1 Stochastic Models 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Siberian Federal University. Mathematics & Physics
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#### Cited in 18 Fields

 29 Integral equations (45-XX) 12 Operator theory (47-XX) 7 Partial differential equations (35-XX) 7 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Wikidata Timeline

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