01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords:
differential equations,
singular perturbations,
asymptotics,
boundary value problems,
small parametre,
saddle point,
method of matched asymptotic expansions,
problems convective diffusion,
volumetric chemical reaction.
Classes of the differential equations with small parametre of the elliptic type, containing special points of type of a saddle in the limiting equation are investigated. Asymptotic expansion of the solutions of boundary value problems convective diffusions about a particle are constructed. Theorems of existence are proved and asymptotic expansion of the solutions for some classes of the quasilinear ordinary differential equations arising in problems convective diffusion taking into account volumetric chemical reaction are constructed.
Main publications:
Rustyam G. Akhmetov and Ruslan R. Kutluev, “Vortex structure around the cylinder at a flow of viscous fluid”, APPLIED NONLINEAR DYNAMICAL SYSTEMS, 93, Proceedings in Mathematics and Statistics in Springer Series., 2014
N. V. Maksimova, R. G. Akhmetov, “The asymptotic solutions for boundary value problem to a convective diffusion equa-tion with chemical reaction near a cylinder”, Latin American Journal of Solids and Structures., 10 (2013), 123-131
Akhmetov R.G., “The asymptotic expansions of the solution for the boundary value problem to a convective diffusion equation with volume chemical reaction near a spherical drop”, Communications in Nonlinear Science and Numerical Simulation, 15 (2011), CNSNS 1577 , 2308-2312. pp.
R.G. Akhmetov, “Asymptotics of Solutions to a Singularly Perturbed Problem for the Diffusion Equation in a Neighborhood of a Saddle Point of the Limiting Operator”, Dokl. Akad. Nauk, 362 (1998), 727-728 (Dokl. Math. 58, 271-272 (1998).)
Rustyam G. Akhmetov, Ruslan R. Kutluev, “About the Structure of the Vortex Flow Around Cylinder With Viscous Fluid”, Journal of Applied Nonlinear Dynamics, 3:4 (2014), 307–315
R. G. Akhmetov, “The agreement method in the problem on diffusion to a particle”, Mat. Zametki, 47:5 (1990), 144–146
2.
R. G. Akhmetov, “An asymptotic solution to the problem of convection-diffusion around a sphere”, Comput. Math. Math. Phys., 38:5 (1998), 771–776
3.
R. G. Akhmetov, “Asymptotic expansion of a solution of the problem of convective diffusion near an axially symmetric drop”, Comput. Math. Math. Phys., 40:10 (2000), 1479–1491
4.
R. G. Akhmetov, “Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle”, Comput. Math. Math. Phys., 46:5 (2006), 796–809
5.
R. G. Akhmetov, “An asymptotic expansion of the solution for a convective diffusion problem in the trace of a drop”, Comput. Math. Math. Phys., 44:6 (2004), 1007–1023
6.
R. G. Akhmetov, “Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction”, Comput. Math. Math. Phys., 42:10 (2002), 1538–1546
7.
R.G. Akhmetov, “Asymptotics of Solutions to a Singularly Perturbed Problem for the Diffusion Equation in a Neighborhood of a Saddle Point of the Limiting Operator”, Dokl. Akad. Nauk, 362 (1998), 727-728 (Dokl. Math. 58, 271-272 (1998).)
R. G. Akhmetov, “Asymptotics of solution for a problem of convective diffusion with volume reaction near a spherical drop”, Proc. Inst. Math. Mech., 2003no. , suppl. 1, S8–S12
Akhmetov R.G., “The asymptotic expansions of the solution for the boundary value problem to a convective diffusion equation with volume chemical reaction near a spherical drop”, Communications in Nonlinear Science and Numerical Simulation, 15 (2011), CNSNS 1577 , 2308-2312. pp.
R. G. Akhmetov, “Asymptotic behavior of the solution of a boundary value problem for an elliptic equation”, Differ. Equ., 33:11 (1997), 1556–1559
12.
N. V. Maksimova, R. G. Akhmetov, “The asymptotic solutions for boundary value problem to a convective diffusion equa-tion with chemical reaction near a cylinder”, Latin American Journal of Solids and Structures., 10 (2013), 123-131
R. G. Akhmetov, “Existence and Asymptotics of Solutions for a Class of Second-Order Quasilinear Ordinary Differential Equations”, Differ. Equ., 41:6 (2005), 757–763
14.
R. G. Akhmetov, “On the asymptotic behavior of the solution to the convection-diffusion problem around a cylinder”, Comput. Math. Math. Phys., 39:4 (1999), 584–589
15.
Rustyam G. Akhmetov, Natalya V. Maksimova, “Asymptotic Solution of the Problem to a Convective Diffusion Equation with a Chemical Reaction Around a Cylinder”, Dynamical Systems: Modelling, Springer Proceedings in Mathematics & Statistics, 181, 2016, 233–241, 181, Springer, 2016, 233–241
"M. R. Gafarova, R G. Akhmetov ", “ELEMENTY KOMPYuTERNOGO MODELIROVANIYa”, SOVREMENNYE FIZIKA, MATEMATIKA, TsIFROVYE I NANOTEKhNOLOGII V NAUKE I OBRAZOVANII (FMTsN-24). Sbornik tezisov III Vserossiiskoi molodezhnoi shkoly-konferentsii, (“Ufa, 17-19 aprelya 2024”), BGPU im. M. Akmully, 2024, 20–23 (to appear)
17.
"R. G. Akhmetov ", “Asymptotic Solutions of the Boundary Value Problem of Convective Diffusion Around Drops with Volumetric Nonlinear Chemical Reaction”, Awrejcewicz J. (Ed). Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021, Springer Proceedings in Mathematics & Statistics, 454 (2024), Pages 15–28
18.
"R G. Akhmetov, V. A. Abramova ", “KOMPYuTERNOE MODELIROVANIE PROTsESSA
MASSOOBMENA V OKRESTNOSTI TsILINDRA S UChETOM OB'EMNOI NELINEINOI KhIMIChESKOI REAKTsII”, SOVREMENNYE FIZIKA, MATEMATIKA, TsIFROVYE I NANOTEKhNOLOGII V NAUKE I OBRAZOVANII (FMTsN-23). Sbornik tezisov II Vserossiiskoi molodezhnoi shkoly-konferentsii, posvyaschennoi 80-letiyu so dnya rozhdeniya d.f.-m.n., professora R.S.Singatullina (" Ufa, 17–20 aprelya 2023 g."), BGPU im. M. Akmully, g. Ufa, 2023, " 20–22".
19.
"R G. Akhmetov, V. A. Abramova ", “ELEMENTY GRAFIChESKOGO MODELIROVANIYa V ShKOLNOM KURSE INFORMATIKI”, Sbornik Sovremennye problemy nauki i obrazovaniya, 2022, no. 23, “6–7”
20.
"R G. Akhmetov, V. A. Abramova ", “KOMPYuTERNOE MODELIROVANIE PROTsESSA MASSOOBMENA V OKRESTNOSTI KAPLI S UChETOM VLIYaNIYa OBTEKANIYa I OB'EMNOI NELINEINOI KhIMIChESKOI REAKTsII”, Sovremennye naukoemkie tekhnologii, 2022, no. 12 (chast 2), “284-289”.
21.
, “R. G. Akhmetov, E. V. Lozhkina”, “KOMPYuTERNOE MODELIROVANIE PROTsESSA MASSOOBMENA V OKRESTNOSTI KAPLI S UChETOM OB'EMNOI NELINEINOI KhIMIChESKOI REAKTsII”, Sovremennye naukoemkie tekhnologii, 2021, no. 6, “9–16” URL: http://top-technologies.ru/ru/article/view?id=3869
22.
"R. G. Akhmetov, “Asimptoticheskie resheniya zadachi konvektivnoi diffuzii v okrestnosti kapli pri obtekanii potokom zhidkosti i nalichii nelineinoi ob'emnoi khimicheskoi reaktsii”, Mezhdunarodnaya nauchnaya konferentsiya "Kompleksnyi analiz, matematicheskaya fizika i nelineinye uravneniya : sbornik tezisov / otv. red. R.N. Garifullin. – 83 s., ISBN 978-5-00177-151-7 (oz. Bannoe, 15 – 19 marta 2021 g.), Aeterna, Ufa, 2021, str.15, https://aeterna-ufa.ru
23.
"R. G. Akhmetov,, ““The asymptotic solutions of the boundary value problem of convective diffusion around drops with volumetric nonlinear chemical reaction”.”, 16 th International Conference on Dynamical Systems - Theory and Applications. DSTA 2021. Abstracts., Lodz University of Technology, Faculty of Mechanical Engineering, Department of Automation, Biomechanics and Mechatronics (Lodz, Poland, December 6-9), 16, eds. Jan Awrejcewicz, Lodz University of Technology, 2021, “237–238” "\href{http://abm.p.lodz.pl}
24.
“R. G. Akhmetov”, “Asimptotiki reshenii zadachi konvektivnoi diffuzii okolo kapli pri nalichii nelineinoi ob'emnoi khimicheskoi reaktsii”, Innovatsionnye podkhody v sovremennoi nauke: sb. st. po materialam LXIX Mezhdunarodnoi nauchno-prakticheskoi konferentsii «Innovatsionnye podkhody v sovremennoi nauke». – # 9(69)(chast 1.). «Internauka», M., 2020, “166–171”
25.
“R. G. Akhmetov”, “Asimptoticheskie resheniya zadachi konvektivnoi diffuzii vne kapli pri nalichii ob'emnoi khimicheskoi reaktsii.”, Mezhdunarodnaya nauchnaya konferentsiya “Kompleksnyi analiz, matematicheskaya fizika i nelineinye uravneniya”, sbornik tezisov / otv. red. R.N. Garifullin. – (oz. Bannoe, 18 – 22 marta 2019 g.), 86 s ., RITs Izd-vo BashGU, Ufa, 2019, s.18
26.
“R. G. Akhmetov”, “Asimptotiki reshenii zadachi konvektivnoi diffuzii v okrestnosti kapli i tsilindra s uchëtom khimicheskoi reaktsii”, Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo / Kazanskoe matematicheskoe obschestvo. Teoriya funktsii, ee prilozheniya i smezhnye voprosy // materialy Chetyrnadtsatoi mezhdunarodnoi Kazanskoi nauchnoi shkoly-konferentsii, 388 s. ("Kazan, 7–12 sentyabrya 2019 g. "), Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo, 57, eds. nauchnyi red. S. R. Nasyrov, Izdatelstvo Kazanskogo matematicheskogo obschestva, Izdatelstvo Akademii nauk Respubliki Tatarstan, Kazan, 2019, “45–46”.
27.
“R. G. Akhmetov, A. A. Lukyanova”, “Asimptoticheskie resheniya zadachi konvektivnoi diffuzii okolo kapli s uchetom nelineinoi ob'emnoi khimicheskoi reaktsii”, «Evraziiskoe Nauchnoe Ob'edinenie» • # 11 (57). Sbornik nauchnykh rabot 57i Mezhdunarodnoi nauchnoi konferentsii Evraziiskogo Nauchnogo Ob'edineniya (g. Moskva, noyabr 2019), Moskva : ENO, 2019. — 512 s., Nauchnye issledovaniya i razrabotki, 2019, “5–8”
28.
“R. G. Akhmetov, A. V. Milyukova”, “Asimptoticheskie resheniya zadachi konvektivnoi diffuzii vnutri kapli, obtekaemoi potokom zhidkosti”, Sovremennye naukoemkie tekhnologii, 2018, no. 9, 29–34
29.
"R. G. Akhmetov, A. F. Gavnetdinova, A. V. Milyukova, “ASIMPTOTIChESKIE REShENIYa ZADAChI KONVEKTIVNOI DIFFUZII VBLIZI KAPLI S UChETOM OB'EMNOI NELINEINOI KhIMIChESKOI REAKTsII”, Perspektivy razvitiya nauki i obrazovaniya: sbornik nauchnykh trudov po materialam XXIX mezhdunarodnoi nauchno-prakticheskoi konferentsii, 2018 – 615. S. (Moskva: 31 maya 2018 g.), ISBN 978-5-6040672-3-9, eds. Pod obsch. red. A.V. Tugolukova, IP Tugolukov A.V, Moskva, 2018, 474–479
30.
“R. G. Akhmetov”, “Asimptoticheskie resheniya zadachi konvektivnoi diffuzii v diffuzionnom pogranichnom sloe vnutri kapli s uchetom nelineinoi ob'emnoi khimicheskoi reaktsii”, Mezhdunarodnaya matematicheskaya konferentsiya po teorii funktsii, posvyaschennaya 100-letiyu chl. -korr. AN SSSR A.F. Leonteva (" Ufa, 24-27 maya 2017 g."), Konferentsiya podderzhana Rossiiskim Fondom Fundamentalnykh issledovanii (RFFI) Grant # 17-01-20080, Redaktsionno-izdatelskii tsentr Bashkirskogo Gosudarstvennogo universiteta, 450076, RB, g. Ufa, ul. Zaki Validi, 32., 2017, 17 s.
31.
“R. G. Akhmetov, D. V. Voloshinskaya”, “O KONVEKTIVNOI DIFFUZII S OB'EMNOI KhIMIChESKOI REAKTsIEI K KAPLE”, sb. st. po materialam XXXVIII Mezhdunarodnoi nauchno-prakticheskoi konferentsii «Nauchnaya diskussiya: voprosy matematiki, fiziki, khimii, biologii», # 2 (30)., «Internauka», Moskva, 2016, 6–12
32.
“R. G. Akhmetov, T. A. Pekina”, “KONVEKTIVNAYa DIFFUZIYa K TsILINDRU S UChETOM OB'EMNOI KhIMIChESKOI REAKTsII”, sb. st. po materialam XXXVIII Mezhdunarodnoi nauchno-prakticheskoi konferentsii «Nauchnaya diskussiya: voprosy matematiki, fiziki, khimii, biologii». (Moskva), eds. Otvetstvennyi redaktor: Butakova E.Yu., «Internauka», 2016, 13–18
33.
“R. G. Akhmetov, S. A. Malyshev”, Nauchnaya diskussiya: voprosy matematiki, fiziki, khimii, biologii: s b. st. po materialam XL Mezhdunarodnoi nauchno-prakticheskoi konferentsii «Nauchnaya diskussiya: voprosy matematiki, fiziki, khimii, biologii»., # 4(32), «Internauka», Moskva, 2016, 8–14
34.
Rustyam Akhmetov, Ruslan Kutluev, “Influence of a volumetric chemical reaction of the convective diffusion near a drop”, 13th Conference on dynamical systems - theory and applications. DSTA 2015. DYNAMICAL SYSTEMS Control and Stability (Lodz, Poland, December 7-10), eds. JAN AWREJCEWICZ, MAREK KAŹMIERCZAK, JERZY MROZOWSKI, PAWEŁOLEJNIK, Proceedings. Department of Automatics and Biomechanics., 2015, 11–18
35.
Rustyam G. Akhmetov, Ruslan R. Kutluev, “About the Structure of the Vortex Flow Around Cylinder With Viscous Fluid”, Journal of Applied Nonlinear Dynamics, 3:4 (2014), 307–315
36.
R. G. Akhmetov, “Metod soglasovaniya v zadache obtekaniya tsilindra poperechnym potokom vyazkoi zhidkosti”, Nelineinye uravneniya i kompleksnyi analiz : tez. dokl. Mezhdunar. konf. pamyati akad A. M. Ilina, / pod red. d-ra fiz.–mat. nauk, prof. L. A. Kalyakina, d-ra fiz.–mat. nauk, prof. V. Yu. Novokshenova. Chelyabinsk (Bannoe, Rossiya, 17-21 marta 2014 g.), Izd-vo Chelyab. gos. un-ta., 2014, 10–12
37.
Rustyam G. Akhmetov and Ruslan R. Kutluev, “Vortex structure around the cylinder at a flow of viscous fluid”, APPLIED NONLINEAR DYNAMICAL SYSTEMS, 93, Proceedings in Mathematics and Statistics in Springer Series., 2014
38.
R. G. Akhmetov, R. R. Kutluev", “Influence of a volumetric chemical reaction on the convective mass transfer near a drop”, International Journal of Structural Stability and Dynamics, 13:7 (2013), 1340002-1–8
39.
R G. Akhmetov, R. R. Kutluev, “About vortex structure at the cylinder flow viscous fluid”, Fluxes and Structures in Flu-ids: Proceedings of Interna-tional Conference (June 25-28, 2013, Saint-Petersburg.), MAKS Press, 2013, 10–13
40.
R. G. Akhmetov, “O metode soglasovaniya v zadache obtekaniya tsilindra vyazkoi zhidkostyu”, Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo / Kazanskoe matematicheskoe obschestvo. Teoriya funktsii, ee prilozheniya i smezhnye voprosy // materialy Odinnadtsatoi mezhdunarodnoi Kazanskoi letnei nauchnoi shkoly-konferentsii (Kazan, 22–28 avgusta 2013), Izdatelstvo Kazanskogo matematicheskogo obschestva, Izdatelstvo Kazanskogo gosudarstvennogo universiteta., 2013, 106–108.
41.
“R. G. Akhmetov”, “Asimptotiki reshenii zadachi konvektivnoi diffuzii okolo tsilindra s uchëtom khimicheskoi reaktsii”, Devyatnadtsataya Mezhdunarodnaya konferentsiya. Matematika. Kompyuter. Obrazovanie. Mezhdunarodnaya shkola-konferentsiya, Analiz slozhnykh biologicheskikh sistem. Matematicheskie modeli subkletochnykh sistem. Radiatsionnaya biofizika i spektrofotometriya (Dubna, 30 yanvarya - 4 fevralya 2012 g.), Tezisy dokladov. MGU im. M.V.Lomonosova. OIYaI g. Dubna, Mezhdunarodnyi universitet prirody, obschestva, cheloveka «Dubna», Puschinskii tsentr biologicheskikh issledovanii RAN, Institut prikladnoi matematiki im. M.V. Keldysha RAN (g. Moskva), eds. G.Yu. Reznichenko, Izdatelstvo Moskovskogo gosudarstvennogo universiteta, 2012, 93
42.
Akhmetov R.G., “Asimptotiki reshenii zadachi konvektivnoi diffuzii okolo tsilindra s uchëtom khimicheskoi reaktsii”, // XVIII Mezhdunarodnaya konferentsiya «Matematika. Ekonomika. Obrazovanie». VI Mezhdunarodnyi simpozium “Ryady Fure i ikh prilozheniya”. Mezhdistsiplinarnyi seminar “Informatsionno-kommunikatsionnye tekhnologii”. Trudy. Rostov n/D, Izd-vo YuFU. 2011. C. 79 – 84., XVIII Mezhdunarodnaya konferentsiya «Matematika. Ekonomika. Obrazovanie». VI Mezhdunarodnyi simpozium “Ryady Fure i ikh prilozheniya”. Mezhdistsiplinarnyi seminar “Informatsionno-kommunikatsionnye tekhnologii”. Trudy. (Rostov n/D, Izd-vo YuFU.), 18, Rostov n/D, Izd-vo YuFU., Rostov na Donu, 2011, 79 – 84.
43.
“R. G. Akhmetov”, “Asimptotiki reshenii zadachi konvektivnoi diffuzii v okrestnosti kapli i tsilindra s uchëtom khimicheskoi reaktsii.”, Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo / Kazanskoe matematicheskoe obschestvo. Teoriya funktsii, ee prilozheniya i smezhnye voprosy // materialy Desyatoi mezhdunarodnoi Kazanskoi letnei nauchnoi shkoly-konferentsii ("Kazan, 1–7 iyulya 2011 g. "), 43, eds. F. G. Avkhadiev, Yu. R. Agachev, L. A. Aksentev, A. M. Elizarov, V. I. Zhigalov, S. R. Nasyrov, Yu . V., Izdatelstvo Kazanskogo gosudarstvennogo universiteta., Kazan., 2011, 23–25.
44.
N. V. Maksimova, R. G. Akhmetov, “The asymptotic expansions of the solution for boundary value problem to a convective diffusion equation with chemical reaction near a cylinder.”, 11th Conference on dynamical systems - theory and applications. DSTA 2011. Proceedings. Volume 2. (Lodz, December 5-8, 2011), eds. Jan Awrejcewicz, Department of Automatics and Biomechanics., Lodz, 2011, 97–102
45.
“R. G. Akhmetov”, “Influence of a volumetric chemical reaction on the convective mass transfer near a spherical drop.”, 11th Conference on dynamical systems - theory and applications. DSTA 2011. Proceedings. Volume 2. (Lodz, December 5-8, 2011), eds. Jan Awrejcewicz, Department of Automatics and Biomechanics. , Poland. P., Lodz, 2011, 39–44.
Akhmetov R.G., “Asymptotics of Solutions for a Class of Quasilinear Second-Order Ordinary Differential Equations”, Differential Equations, 46:2 (2010), 159-166
48.
Akhmetov R.G., “Asimptoticheskie razlozheniya reshenii zadachi konvektivnoi diffuzii okolo tsilindra s uchetom khimicheskoi reaktsii.”, Sbornik nauchnykh statei. Vyp. 11, Izd-vo BGPU im. M. Akmully, Ufa, 2010, 4-7
49.
Rustyam Akhmetov, “Influence of a distributed chemical reaction on the convective mass transfer near a spherical drop”, 10th Conference on dynamical systems - theory and applications. DSTA 2009, Proceedings (Lodz, December 7–10, 2009, Poland), v. 2, eds. J. Awrejcewicz, M. Kazmierczak, P. Olejnik, J. Mrozowski, Department of Automatics and Biomechanics, Lodz, 2009, 517-522.
50.
Akhmetov R.G., “Asymptotic Behavior of the Solution to a Convection Diffusion Problem With Volume Chemical Reaction Near a Spherical Drop”, International Conference: Fluxes and Structures In Fluids, Selected Papers (Saint Petersburg, Russia, July 2–5, 2007, RSHMU), eds. Y.D. Chashechkin, V.G. Baydulov,, Institute for Problems in Mechanics of the RAS, Moscow, 2008, 4–7
51.
Akhmetov R.G., “Asimptotika resheniya zadachi konvektivnoi diffuzii okolo tsilindra pri nalichii ob'emnoi khimicheskoi reaktsii”, Sedmoi Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike: Zimnyaya sessiya. Tez. Dokl. Chast 3 (Ioshkar-Ola, 16–22 dekabrya 2006 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 14, no. 1, 2007, 87–88
52.
Akhmetov R.G., Nizamov V.F., “Ob asimptotike resheniya zadachi konvektivnoi diffuzii okolo kapli s uchetom khimicheskoi reaktsii”, Matematika. Mekhanika. Informatika, Materialy Vseros. Nauch. Konf. (Chelyabinsk 19-22 sent. 2006 g.), eds. S. V. Matveev, Chelyab. gos. un-t, Chelyabinsk, 2007, 14–23
53.
Akhmetov R.G., “Konvektivnaya diffuziya s ob'emnoi reaktsiei okolo kapli”, Zimnyaya shkola po mekhanike sploshnykh sred (pyatnadtsataya), Sbornik statei. V 3-kh chastyakh. Chast 1, UrO RAN, Ekaterinburg, 2007, 62–64
54.
Akhmetov R.G., “Asimptotiki reshenii zadach konvektivnoi diffuzii s ob'emnoi khimicheskoi reaktsiei okolo chastitsy”, Mezhdunarodnaya konferentsiya “Differentsialnye uravneniya i smezhnye voprosy”, posvyaschennaya pamyati I.G. Petrovskogo (XXII sovmestnoe zasedanie MMO i seminara im. I.G. Petrovskogo) (21–26 maya 2007, MGU), MGU, 2007, 15–16
55.
R. G. Akhmetov, “Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle”, Comput. Math. Math. Phys., 46:10 (2006), 1737–1752
56.
Akhmetov R.G., “Influence of a Distributed Chemical Reaction on the Convective Mass Transfer in the Trail to the Rear of a Particle”, Fluxes and Structures in Fluids, Selected Papers, Intern. Conference (M.V. Lomonosov Moscow State University, Moscow, Russia, June 20–23, 2005), eds. Y.D. Chashechkin, V.G. Baydulov, Institute for Problems in Mechanics, Moskow, 2006, 4–10
57.
Akhmetov R.G., Gorshkova S.A., “Otsenki reshenii odnogo klassa kvazilineinykh ellipticheskikh uravnenii v poluploskosti”, Sovremennye problemy fiziki i matematiki, Trudy Vserossiiskoi nauchnoi konferentsii (16–18 sentyabrya 2004 g., Sterlitamak), v. 1, eds. K.B. Sabitov, I.A. Kaliev, Gilem, Ufa, 2004, 8–12
Akhmetov R.G., “Asimptotika resheniya kraevoi zadachi dlya odnogo uravneniya s malym parametrom”, Differents. ur-niya s malym parametrom, eds. Ilin A.M., Ur.NTs AN SSSR, In-t matem. i mekhan., Sverdlovsk, 1984, 3–17
71.
Akhmetov R.G., “Asimptotika resheniya ellipticheskogo uravneniya vtorogo poryadka s malym parametrom pri starshikh proizvodnykh”, Diff. uravneniya, 18:3 (1982), 440–450
72.
"A. R. Iskhakov, R G. Akhmetov,, R. F. Malikov, A. R. Nafikova .", PROGRAMMNYI MODUL MATEMATIChESKOGO MODELIROVANIYa “EILER. NELINEINYE URAVNENIYa”
Iskhakov A.R., Akhmetov R.G., Malikov R.F., Nafikova A.R., Svidetelstvo o registratsii programmy dlya EVM RU 2023683855, 10.11.2023. Zayavka ot 15.09.2023., 2023
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