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Found 94 Documents (Results 1–94)

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Tokibetov, J. A.; Abduakhitova, G. E.; Kaparova, R. M.

On one representation of a generalized holomorphic vector via the derivatives of harmonic functions. (English. Ukrainian original) Zbl 1514.35154

J. Math. Sci., New York 272, No. 1, 29-37 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29-35 (2020).
MSC:  35J46 31A05 30G35
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\textit{J. A. Tokibetov} et al., J. Math. Sci., New York 272, No. 1, 29--37 (2023; Zbl 1514.35154); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29--35 (2020)
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Loshkareva, Elena Anatol’evna; Gladyshev, Yuriĭ Aleksandrovich; Malyshev, Evgeniĭ Nikolaevich

Application of the generalized degree method for constructing solutions of the quaternion variant of the Cauchy-Riemann system. (Russian. English summary) Zbl 1515.30114

Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 23, No. 1, 11-23 (2023).
MSC:  30G35 35A01
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\textit{E. A. Loshkareva} et al., Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 23, No. 1, 11--23 (2023; Zbl 1515.30114)
Full Text: DOI MNR
Sattorov, E. N.; Ermamatova, F. E.

Carleman’s formula for solutions of generalized Cauchy-Riemann systems in multidimensional spatial domains. (English. Russian original) Zbl 1498.35243

J. Math. Sci., New York 265, No. 1, 90-102 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 95-108 (2019).
MSC:  35J56 30G20
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\textit{E. N. Sattorov} and \textit{F. E. Ermamatova}, J. Math. Sci., New York 265, No. 1, 90--102 (2022; Zbl 1498.35243); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 95--108 (2019)
Full Text: DOI
Sattorov, É. N.; Érmamatova, F. É.

On the recovery of solutions of a generalized Cauchy-Riemann system in a multidimensional spatial domain from their values on a piece of the boundary of this domain. (English. Russian original) Zbl 1480.30035

Math. Notes 110, No. 3, 393-408 (2021); translation from Mat. Zametki 110, No. 3, 405-423 (2021).
MSC:  30G20 35F45 35N10
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\textit{É. N. Sattorov} and \textit{F. É. Érmamatova}, Math. Notes 110, No. 3, 393--408 (2021; Zbl 1480.30035); translation from Mat. Zametki 110, No. 3, 405--423 (2021)
Full Text: DOI
Sattorov, E. N.; Ermamatova, F. E.

On continuation of solutions of generalized Cauchy-Riemann system in an unbounded subdomain of multidimensional space. (English. Russian original) Zbl 1468.30078

Russ. Math. 65, No. 2, 22-38 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 27-43 (2021).
MSC:  30G20 35R25
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\textit{E. N. Sattorov} and \textit{F. E. Ermamatova}, Russ. Math. 65, No. 2, 22--38 (2021; Zbl 1468.30078); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 27--43 (2021)
Full Text: DOI
Tokibetov, J. A.; Abduakhitova, G. E.; Kaparova, R. M.

On one representation of generalized holomorphic vector via derivatives of harmonic functions. (Ukrainian, English) Zbl 1513.35155

Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29-35 (2020); translation in J. Math. Sci., NY 272, No. 1, 29-37 (2023).
Reviewer: V. I. Zhukovsky (Moscow)
MSC:  35J15 58J99
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\textit{J. A. Tokibetov} et al., Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29--35 (2020; Zbl 1513.35155); translation in J. Math. Sci., NY 272, No. 1, 29--37 (2023)
Rasulov, A. B.; Bobodzhanova, M. A.; Fedorov, Yu. S.

Hilbert problem for the Cauchy-Riemann equation with a singular circle and a singular point. (English. Russian original) Zbl 1433.30116

J. Math. Sci., New York 241, No. 3, 327-339 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 79-90 (2017).
MSC:  30G20 30E25 35J46
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\textit{A. B. Rasulov} et al., J. Math. Sci., New York 241, No. 3, 327--339 (2019; Zbl 1433.30116); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 79--90 (2017)
Full Text: DOI
Oshorov, Bato B.; Oshorov, Bator B.

Boundary value problems for a model system of first-order equations in three-dimensional space. (English. Russian original) Zbl 1331.35255

Differ. Equ. 51, No. 5, 645-651 (2015); translation from Differ. Uravn. 51, No. 5, 635-641 (2015).
Reviewer: Vladimir Mityushev (Kraków)
MSC:  35Q15 35J56
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\textit{B. B. Oshorov} and \textit{B. B. Oshorov}, Differ. Equ. 51, No. 5, 645--651 (2015; Zbl 1331.35255); translation from Differ. Uravn. 51, No. 5, 635--641 (2015)
Full Text: DOI
Son, Le Hung; Dinh, Doan Cong

Fundamental solutions of a generalized Cauchy-Riemann system in \({\mathbb R}^{n+1}\). (English) Zbl 1312.30065

Le Hung Son (ed.) et al., Interactions between real and complex analysis. Based on the selected lectures of the 20th international conference on finite and infinite dimensional complex analysis and applications (ICFIDCAA), Hanoi, Vietnam, July 29 – August 3, 2012. Hanoi: Science and Technics Publishing House (ISBN 978-604-67-0032-6/hbk). 332-359 (2012).
MSC:  30G35
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\textit{L. H. Son} and \textit{D. C. Dinh}, in: Interactions between real and complex analysis. Based on the selected lectures of the 20th international conference on finite and infinite dimensional complex analysis and applications (ICFIDCAA), Hanoi, Vietnam, July 29 -- August 3, 2012. Hanoi: Science and Technics Publishing House. 332--359 (2012; Zbl 1312.30065)
Malinnikova, E.

Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients. (English) Zbl 1188.31005

Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 1185-1193 (2009).
Reviewer: Lubomira Softova (Aversa)
MSC:  31B35 35J46
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\textit{E. Malinnikova}, in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 1185--1193 (2009; Zbl 1188.31005)
Gürlebeck, Klaus; Tran Quoc Viet

On some complete systems of monogenic rational functions. (English) Zbl 1158.30036

Le Hung Son (ed.) et al., Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1–5, 2007. Hanoi: National University Publishers. 156-169 (2008).
Reviewer: Anatoly Filip Grishin (Khar’kov)
MSC:  30G35
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\textit{K. Gürlebeck} and \textit{Tran Quoc Viet}, in: Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1--5, 2007. Hanoi: National University Publishers. 156--169 (2008; Zbl 1158.30036)
Kajiwara, Joji; Li, Xiaodong; Shon, Kwang Ho

Inhomogeneous Cauchy-Riemann system of quaternion and Clifford analysis. (English) Zbl 1159.30031

Le Hung Son (ed.) et al., Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1–5, 2007. Hanoi: National University Publishers. 127-155 (2008).
Reviewer: Anatoly Filip Grishin (Khar’kov)
MSC:  30G35 35N05 32L10
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\textit{J. Kajiwara} et al., in: Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1--5, 2007. Hanoi: National University Publishers. 127--155 (2008; Zbl 1159.30031)
Constales, D.; de Almeida, R.; Kraußhar, R. S.

Asymptotic growth analysis of some PDE related to higher dimensional Dirac type equation. I. (English) Zbl 1095.35502

Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 928-931 (2005).
MSC:  35B40 30G35 30D15
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\textit{D. Constales} et al., in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 928--931 (2005; Zbl 1095.35502)
Çelebi, A. Okay

Dirichlet problems with nonsmooth boundary. (English) Zbl 1161.35358

Barsegian, Grigor A. (ed.) et al., Topics in analysis and its applications. Proceedings of the NATO Advanced Research Workshop, Yerevan, Armenia, September, 22–25, 2002. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-2063-5/pbk; 1-4020-2062-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 147, 295-309 (2004).
MSC:  35J25 30G20 31B15 35-02 35J70
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\textit{A. O. Çelebi}, NATO Sci. Ser. II, Math. Phys. Chem. 147, 295--309 (2004; Zbl 1161.35358)
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Hafez, Mohamed M.; Houseman, J.

Numerical solutions of Cauchy-Riemann equations for two- and three-dimensional flows. (English) Zbl 1021.76031

Caughey, D. A. (ed.) et al., Frontiers of computational fluid dynamics 2002. Papers presented at the symposium ‘Computing the future III’ honoring Robert W. MacCormack, Half Moon Bay, CA, USA, June 26-28, 2000. Singapore: World Scientific. 81-88 (2002).
Reviewer: A.Meister (Hamburg)
MSC:  76M12 76N15 76G25
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\textit{M. M. Hafez} and \textit{J. Houseman}, in: Frontiers of computational fluid dynamics 2002. Papers presented at the symposium `Computing the future III' honoring Robert W. MacCormack, Half Moon Bay, CA, USA, June 26--28, 2000. Singapore: World Scientific. 81--88 (2002; Zbl 1021.76031)
Begehr, Heinrich

Hypercomplex Bitsadze system. (English) Zbl 0989.30032

Lu, Jian Ke (ed.) et al., Boundary value problems, integral equations and related problems. Proceedings of the 2nd international conference, Beijing and Chengde, China, August 8-14, 1999. Singapore: World Scientific. 33-40 (2000).
Reviewer: M.Kracht (Düsseldorf)
MSC:  30G20 30G35 35C05
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\textit{H. Begehr}, in: Boundary value problems, integral equations and related problems. Proceedings of the 2nd international conference, Beijing and Chengde, China, August 8--14, 1999. Singapore: World Scientific. 33--40 (2000; Zbl 0989.30032)
Khimshiashvili, G.

Elliptic boundary problems for Cauchy-Riemann systems. (English) Zbl 0871.35024

Sprössig, Wolfgang (ed.) et al., Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5–7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg, 77-83 (1996).
MSC:  35F15 15A66
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\textit{G. Khimshiashvili}, in: Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5--7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg. 77--83 (1996; Zbl 0871.35024)
Alekseev, R. B.

On the subharmonic property of solutions of generalized Cauchy-Riemann systems. (English. Russian original) Zbl 0784.31002

Vestn. St. Petersbg. Univ., Math. 25, No. 4, 1-6 (1992); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1992, No. 4, 20-27 (1992).
MSC:  31B05 32A17 35F05
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\textit{R. B. Alekseev}, Vestn. St. Petersbg. Univ., Math. 25, No. 4, 20--27 (1992; Zbl 0784.31002); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1992, No. 4, 20--27 (1992)
Stern, I.

Boundary value problems for generalized Cauchy-Riemann systems in the space. (English) Zbl 0792.35022

Kühnau, R. (ed.) et al., Boundary value and initial value problems in complex analysis: studies in complex analysis and its applications to partial differential equations 1. Papers from the 5th conference on complex analysis, held in Halle, Germany, in December 1988. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 256, 159-183 (1991).
MSC:  35E20 32V05 11E88
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\textit{I. Stern}, Pitman Res. Notes Math. Ser. 256, 159--183 (1991; Zbl 0792.35022)
Mikhajlov, L. G.

Some overdetermined systems of partial differential equations with two unknown functions. (Nekotorye neopredelennye sistemy uravnenij v chastnykh proizvodnykh s dvumya neizvestnymi funktsiyami.) (Russian) Zbl 0703.35125

Dushanbe: Donish. 116 p. R. 1.30 (1986).
MSC:  35Nxx 35-02 35G05 35F05 35Q15 35Q40 32C38
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\textit{L. G. Mikhajlov}, Nekotorye neopredelennye sistemy uravnenij v chastnykh proizvodnykh s dvumya neizvestnymi funktsiyami (Russian). Dushanbe: Donish (1986; Zbl 0703.35125)

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