Khachatryan, Kh. A.; Dilanyan, V. G. The solvability of an infinite system of nonlinear algebraic equations with Toeplitz matrix. (English) Zbl 07815952 Proc. Yerevan State Univ., Phys. Math. Sci. 57, No. 3, 69-78 (2023). MSC: 35Q93 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{V. G. Dilanyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 57, No. 3, 69--78 (2023; Zbl 07815952) Full Text: DOI MNR
Khachatryan, Kh. A.; Petrosyan, H. S. On the solvability of a system of nonlinear integral equations with the Hammerstein-Stieltjes operator on the half-line. (English. Russian original) Zbl 1518.45006 Differ. Equ. 59, No. 3, 383-391 (2023); translation from Differ. Uravn. 59, No. 3, 380-388 (2023). Reviewer: Alexander N. Tynda (Penza) MSC: 45G15 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{H. S. Petrosyan}, Differ. Equ. 59, No. 3, 383--391 (2023; Zbl 1518.45006); translation from Differ. Uravn. 59, No. 3, 380--388 (2023) Full Text: DOI
Khachatryan, Khachatur Agavardovich; Petrosyan, Aĭkanush Sambelovna On a class of nonlinear integro-differential equations. (Russian) Zbl 1527.45006 Mat. Tr. 25, No. 1, 192-220 (2022). MSC: 45J05 45G10 45M05 PDFBibTeX XMLCite \textit{K. A. Khachatryan} and \textit{A. S. Petrosyan}, Mat. Tr. 25, No. 1, 192--220 (2022; Zbl 1527.45006) Full Text: DOI MNR
Khachatryan, Khachatur A.; Petrosyan, Haykanush S. On summable solutions of a class of nonlinear integral equations on the whole line. (English. Russian original) Zbl 07733633 Izv. Math. 86, No. 5, 980-991 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 157-168 (2022). Reviewer: Alexander N. Tynda (Penza) MSC: 45G10 45M05 PDFBibTeX XMLCite \textit{K. A. Khachatryan} and \textit{H. S. Petrosyan}, Izv. Math. 86, No. 5, 980--991 (2022; Zbl 07733633); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 157--168 (2022) Full Text: DOI MNR
Khachatryan, Kh. A.; Petrosyan, H. S. On the constructive solvability of a two-dimensional nonlinear integral equation arising in the theory of \(p\)-adic strings. (English) Zbl 1517.45007 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S74-S82 (2022). MSC: 45K05 45M05 92D25 92D30 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{H. S. Petrosyan}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S74--S82 (2022; Zbl 1517.45007) Full Text: DOI
Khachatryan, Kh. A.; Hakobyan, A. R. On nontrivial solvability of one class of nonlinear integral equations with conservative kernel on the positive semi-axis. (English) Zbl 1510.45005 Proc. Yerevan State Univ., Phys. Math. Sci. 56, No. 1, 7-18 (2022). MSC: 45G10 47N20 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{A. R. Hakobyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 56, No. 1, 7--18 (2022; Zbl 1510.45005) Full Text: DOI MNR
Khachatryan, Kh. A.; Petrosyan, H. S. On one class of multidimensional integral equations of convolution type with convex nonlinearity. (English. Russian original) Zbl 1496.45010 Differ. Equ. 58, No. 5, 680-690 (2022); translation from Differ. Uravn. 58, No. 5, 686-695 (2022). MSC: 45K05 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{H. S. Petrosyan}, Differ. Equ. 58, No. 5, 680--690 (2022; Zbl 1496.45010); translation from Differ. Uravn. 58, No. 5, 686--695 (2022) Full Text: DOI
Khachatryan, Kh. A.; Petrosyan, A. S. Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations. (English. Russian original) Zbl 1491.45006 Trans. Mosc. Math. Soc. 2021, 259-271 (2021); translation from Tr. Mosk. Mat. O.-va 82, No. 2, 313-327 (2021). MSC: 45G05 45K05 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{A. S. Petrosyan}, Trans. Mosc. Math. Soc. 2021, 259--271 (2021; Zbl 1491.45006); translation from Tr. Mosk. Mat. O.-va 82, No. 2, 313--327 (2021) Full Text: DOI
Khachatryan, A. Kh.; Khachatryan, Kh. A.; Petrosyan, H. S. On positive bounded solutions of one class of nonlinear integral equations with the Hammerstein-Nemytskii operator. (English. Russian original) Zbl 1469.45013 Differ. Equ. 57, No. 6, 768-779 (2021); translation from Differ. Uravn. 57, No. 6, 784-795 (2021). MSC: 45M20 45M05 PDFBibTeX XMLCite \textit{A. Kh. Khachatryan} et al., Differ. Equ. 57, No. 6, 768--779 (2021; Zbl 1469.45013); translation from Differ. Uravn. 57, No. 6, 784--795 (2021) Full Text: DOI
Khachatryan, Kh. A.; Petrosyan, H. S. Solvability of a certain system of singular integral equations with convex nonlinearity on the positive half-line. (English. Russian original) Zbl 1464.81047 Russ. Math. 65, No. 1, 27-46 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 1, 31-51 (2021). MSC: 81T30 45G05 45E05 92C60 45M20 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{H. S. Petrosyan}, Russ. Math. 65, No. 1, 27--46 (2021; Zbl 1464.81047); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 1, 31--51 (2021) Full Text: DOI
Khachatryan, Khachatur A. Existence and uniqueness of solution of a certain boundary-value problem for a convolution integral equation with monotone non-linearity. (English. Russian original) Zbl 1464.45009 Izv. Math. 84, No. 4, 807-815 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 198-207 (2020). MSC: 45G10 45M05 PDFBibTeX XMLCite \textit{K. A. Khachatryan}, Izv. Math. 84, No. 4, 807--815 (2020; Zbl 1464.45009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 198--207 (2020) Full Text: DOI
Khachatryan, Khachatur Agavardovich The solvability of a system of nonlinear integral equations of Hammerstein type on the whole line. (Russian. English summary) Zbl 1434.45004 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 19, No. 2, 164-181 (2019). MSC: 45G15 45M05 PDFBibTeX XMLCite \textit{K. A. Khachatryan}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 19, No. 2, 164--181 (2019; Zbl 1434.45004) Full Text: DOI MNR
Khachatryan, Kh. A.; Petrosyan, H. S. One initial boundary-value problem for integro-differential equation of the second order with power nonlinearity. (English. Russian original) Zbl 1400.45007 Russ. Math. 62, No. 6, 43-55 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 6, 48-62 (2018). MSC: 45J05 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{H. S. Petrosyan}, Russ. Math. 62, No. 6, 43--55 (2018; Zbl 1400.45007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 6, 48--62 (2018) Full Text: DOI
Khachatryan, Kh. A.; Petrosyan, A. S. One-parameter families of positive solutions of some classes of nonlinear convolution type integral equations. (Russian, English) Zbl 1413.45020 Sib. Zh. Chist. Prikl. Mat. 17, No. 1, 91-108 (2017); translation in J. Math. Sci., New York 231, No. 2, 153-167 (2018). MSC: 45M20 45M05 47H30 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{A. S. Petrosyan}, Sib. Zh. Chist. Prikl. Mat. 17, No. 1, 91--108 (2017; Zbl 1413.45020); translation in J. Math. Sci., New York 231, No. 2, 153--167 (2018) Full Text: DOI
Khachatryan, Kh A. Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line. (English. Russian original) Zbl 1317.45003 Izv. Math. 79, No. 2, 411-430 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 205-224 (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 45G05 45M20 47H30 45L05 45M05 PDFBibTeX XMLCite \textit{K. A. Khachatryan}, Izv. Math. 79, No. 2, 411--430 (2015; Zbl 1317.45003); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 205--224 (2015) Full Text: DOI
Khachatryan, Kh. A.; Sardaryan, T. H. Solution of one Volterra type nonlinear integral equation on positive semi-axis. (English) Zbl 1301.45001 Proc. Yerevan State Univ., Phys. Math. Sci. 2013, No. 3(232), 12-17 (2013). MSC: 45G05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{T. H. Sardaryan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2013, No. 3(232), 12--17 (2013; Zbl 1301.45001)
Khachatryan, Kh A. On a class of integral equations of Urysohn type with strong non-linearity. (English. Russian original) Zbl 1245.45005 Izv. Math. 76, No. 1, 163-189 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 76, No. 1, 173-200 (2012). Reviewer: Alexander N. Tynda (Penza) MSC: 45G10 45M05 45M20 47H30 PDFBibTeX XMLCite \textit{K. A. Khachatryan}, Izv. Math. 76, No. 1, 163--189 (2012; Zbl 1245.45005); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 76, No. 1, 173--200 (2012) Full Text: DOI
Khachatryan, A. Kh.; Khachatryan, Kh. A. On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis. (English. Russian original) Zbl 1242.45005 Ukr. Math. J. 63, No. 1, 134-145 (2011); translation from Ukr. Mat. Zh. 63, No. 1, 110-118 (2011). Reviewer: Kun Soo Chang (Seoul) MSC: 45G10 45P05 47H30 45M05 45M20 PDFBibTeX XMLCite \textit{A. Kh. Khachatryan} and \textit{Kh. A. Khachatryan}, Ukr. Math. J. 63, No. 1, 134--145 (2011; Zbl 1242.45005); translation from Ukr. Mat. Zh. 63, No. 1, 110--118 (2011) Full Text: DOI
Khachatryan, Kh. A.; Khachatryan, E. A. Solvability of some classes of nonlinear integro-differential equations with noncompact operator. (English. Russian original) Zbl 1242.45008 Russ. Math. 55, No. 1, 79-87 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 1, 91-100 (2011). Reviewer: Martin Väth (Berlin) MSC: 45J05 45G10 47H30 45M05 45L05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan} and \textit{E. A. Khachatryan}, Russ. Math. 55, No. 1, 79--87 (2011; Zbl 1242.45008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 1, 91--100 (2011) Full Text: DOI
Khachatryan, Kh. A. On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators. (English) Zbl 1240.45012 Ufim. Mat. Zh. 2, No. 2, 102-117 (2010). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 45G10 47H30 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan}, Ufim. Mat. Zh. 2, No. 2, 102--117 (2010; Zbl 1240.45012) Full Text: MNR
Khachatryan, Kh. A. On some systems of nonlinear integral Hammerstein-type equations on the semiaxis. (Russian, English) Zbl 1224.45014 Ukr. Mat. Zh. 62, No. 4, 552-566 (2010); translation in Ukr. Math. J. 62, No. 4, 630-647 (2010). MSC: 45J05 45G15 45M05 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan}, Ukr. Mat. Zh. 62, No. 4, 552--566 (2010; Zbl 1224.45014); translation in Ukr. Math. J. 62, No. 4, 630--647 (2010) Full Text: DOI
Khachatryan, A. Kh.; Khachatryan, Kh. A. On solvability of one class of Hammerstein nonlinear integral equations. (English) Zbl 1205.45007 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2010, No. 2(63), 67-83 (2010). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 45G05 45M05 47H30 PDFBibTeX XMLCite \textit{A. Kh. Khachatryan} and \textit{Kh. A. Khachatryan}, Bul. Acad. Științe Repub. Mold., Mat. 2010, No. 2(63), 67--83 (2010; Zbl 1205.45007) Full Text: Link
Khachatryan, A. Kh.; Khachatryan, Kh. A. A nonlinear integral equation of Hammerstein type with a noncompact operator. (English. Russian original) Zbl 1204.45006 Sb. Math. 201, No. 4, 595-606 (2010); translation from Mat. Sb. 201, No. 4, 125-136 (2010). Reviewer: Stig-Olof Londen (Helsinki) MSC: 45G05 45M20 47H30 45L05 45M05 PDFBibTeX XMLCite \textit{A. Kh. Khachatryan} and \textit{Kh. A. Khachatryan}, Sb. Math. 201, No. 4, 595--606 (2010; Zbl 1204.45006); translation from Mat. Sb. 201, No. 4, 125--136 (2010) Full Text: DOI
Khachatryan, Kh. A. One-parameter family of solutions for one class of Hammerstein nonlinear equations on a half-line. (English. Russian original) Zbl 1186.45006 Dokl. Math. 80, No. 3, 872-876 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 5, 595-599 (2009). Reviewer: Martin Väth (Praha) MSC: 45G05 45E10 45M05 45M20 45L05 47H30 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan}, Dokl. Math. 80, No. 3, 872--876 (2009; Zbl 1186.45006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 5, 595--599 (2009) Full Text: DOI
Khachatryan, Kh. A. Solvability of a conservative integral equation on the half-line. (English. Russian original) Zbl 1160.45300 J. Contemp. Math. Anal., Armen. Acad. Sci. 37, No. 4, 30-37 (2002); translation from Izv. Nats. Akad. Nauk Armen., Mat. 37, No. 4, 73-80 (2002). MSC: 45A05 45D05 45M05 45M20 PDFBibTeX XMLCite \textit{Kh. A. Khachatryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 37, No. 4, 30--37 (2002; Zbl 1160.45300); translation from Izv. Nats. Akad. Nauk Armen., Mat. 37, No. 4, 73--80 (2002)