Edit Profile (opens in new tab) Kapustin, N. Yu Co-Author Distance Author ID: kapustin.n-yu Published as: Kapustin, N. Yu.; Kapustin, N. Yu Documents Indexed: 83 Publications since 1982 Co-Authors: 6 Co-Authors with 23 Joint Publications 352 Co-Co-Authors all top 5 Co-Authors 57 single-authored 11 Moiseev, Evgeniĭ Ivanovich 5 Moiseev, T. E. 5 Sabitov, Kamil’ Basirovich 3 Kholomeeva, Anna A. 2 Makin, Alexander S. 1 Il’in, Vladimir Aleksandrovich 1 Shoniya, Z. V. all top 5 Serials 27 Differential Equations 20 Soviet Mathematics. Doklady 18 Differential Equations 7 Doklady Mathematics 3 Lobachevskii Journal of Mathematics 2 Differentsial’nye Uravneniya 1 Computational Mathematics and Modeling 1 Russian Academy of Sciences. Doklady. Mathematics 1 Integral Transforms and Special Functions 1 Matematicheskoe Modelirovanie all top 5 Fields 58 Partial differential equations (35-XX) 25 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 306 times in 137 Documents Cited by ▼ Year ▼ The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition. Zbl 1005.34075 Kapustin, N. Yu.; Moiseev, E. I. 40 2000 Spectral problems with the spectral parameter in the boundary condition. Zbl 0911.34070 Kapustin, N. Yu.; Moiseev, E. I. 25 1997 On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends. Zbl 1355.74049 Kapustin, N. Yu. 23 2005 Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition. Zbl 0990.34071 Kapustin, N. Yu.; Moiseev, E. I. 20 2000 On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition. Zbl 1259.34085 Moiseev, E. I.; Kapustin, N. Yu. 20 2002 A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition. Zbl 1031.34011 Kapustin, N. Yu.; Moiseev, E. I. 19 2001 On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition. Zbl 1211.42005 Kapustin, N. Yu. 15 2010 On the uniform convergence in \(C^{1}\) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition. Zbl 1244.34104 Kapustin, N. Yu. 14 2011 On the spectral problem from the theory of the parabolic-hyperbolic heat equation. Zbl 0965.34070 Kapustin, N. Yu.; Moiseev, E. I. 13 1997 Oscillation properties of solutions to a nonselfadjoint spectral problem with spectral parameter in the boundary condition. Zbl 1009.34076 Kapustin, N. Yu. 13 1999 On the spectral problem arising in the solution of a mixed problem for the heat equation with a mixed derivative in the boundary condition. Zbl 1257.35064 Kapustin, N. Yu. 13 2012 Tricomi problem for a parabolic-hyperbolic equation with degeneracy in the hyperbolic part. I. Zbl 0651.35064 Kapustin, N. Yu 11 1987 Tricomi’s problem for a parabolic-hyperbolic equation with a degenerating hyperbolic part. II. Zbl 0677.35073 Kapustin, N. Yu. 7 1988 An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series. Zbl 1123.35337 Moiseev, E. I.; Kapustin, N. Yu. 7 2003 On a spectral problem for the Laplace operator in the square with spectral parameter in the boundary condition. Zbl 1003.35103 Kapustin, N. Yu.; Moiseev, E. I. 6 1998 On the basis property of the system of eigenfunctions of a problem with squared spectral parameter in a boundary condition. Zbl 1332.34050 Kapustin, N. Yu. 6 2015 On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition. Zbl 1266.34136 Kapustin, N. Yu. 6 2012 On a spectral problem in the theory of the heat operator. Zbl 1193.34027 Kapustin, N. Yu. 5 2009 Solution of a problem in the theory of a Frankl’s problem for equations of mixed type. Zbl 0776.35036 Kapustin, N. Yu.; Sabitov, K. B. 5 1991 On two spectral problems with the same characteristic equation. Zbl 1333.34124 Kapustin, N. Yu. 5 2015 Spectral problem with spectral parameter in the boundary condition in the theory of the radial heat equation. Zbl 1162.35383 Kapustin, N. Yu.; Moiseev, T. E. 4 2007 On the solution of a problem in the theory of the Frankl’ problem for equations of mixed type. Zbl 0781.35039 Kapustin, N. Yu.; Sabitov, K. B. 3 1991 On the multiple spectrum of a problem for the Bessel equation with spectral parameter in the boundary condition. Zbl 1360.34169 Kapustin, N. Yu.; Moiseev, T. E. 3 2016 \(L_ 2\)-solvability of boundary-value problems for equations of mixed type. Zbl 0682.35079 Kapustin, N. Yu. 2 1989 On a problem with a boundary condition of the second kind, a complex-valued coefficient, and a spectral parameter in the other boundary condition. Zbl 1310.34110 Kapustin, N. Yu. 2 2014 Basis properties of a problem for the Laplace operator on the square with spectral parameter in a boundary condition. Zbl 1516.35275 Kapustin, N. Yu. 2 2017 Spectral solution of a boundary value problem for equation of mixed type. Zbl 1428.35238 Kapustin, N.; Kholomeeva, A. 2 2019 Basis property of the system of root functions of a classical spectral problem with a multiple eigenvalue. Zbl 1412.34233 Kapustin, N. Yu. 2 2018 On the multiple spectrum of a problem for the Bessel equation. Zbl 1468.34036 Moiseev, E. I.; Moiseev, T. E.; Kapustin, N. Yu. 2 2020 On the existence and uniqueness of an \(L_ 2\)-solution of Tricomi’s problem for a parabolic-hyperbolic equation. Zbl 0635.35070 Kapustin, N. Yu. 1 1986 A question concerning the general solvability of the first Darboux problem. Zbl 0664.35055 Kapustin, N. Yu.; Shoniya, Z. V. 1 1988 An estimate of the solution of the Tricomi problem for a system of equations of parabolic-hyperbolic type. Zbl 0514.35061 Kapustin, N. Yu. 1 1982 Sharpening an a priori estimate of the solution of a well-known problem for a parabolic-hyperbolic equation. Zbl 1190.35166 Moiseev, E. I.; Kapustin, N. Yu. 1 2009 On a spectral problem for the Bessel equation of zero order. Zbl 1189.34031 Kapustin, N. Yu.; Moiseev, T. E. 1 2008 On an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation. Zbl 1387.35423 Kapustin, N. Yu. 1 2017 On generalized solvability of the Tricomi problem for a parabolo-hyperbolic equation. Zbl 0589.35079 Kapustin, N. Yu. 1 1984 Solvability in \(L_ 2\) of Tricomi’s problem for a parabolic-hyperbolic equation with a degenerate hyperbolic art. Zbl 0605.35062 Kapustin, N. Yu. 1 1986 Solvability in the class \(L_ 2\) of a problem with a boundary condition on the characteristic for a hyperbolic equation with order degeneration. Zbl 0706.35080 Kapustin, N. Yu. 1 1990 On solvability in the class \(L_ 2\) of a characteristic problem for a hyperbolic equation with degeneration of order. Zbl 0746.35009 Kapustin, N. Yu. 1 1990 On the uniform convergence of spectral expansions in a problem for the Laplace operator on the square with spectral parameter in the boundary condition. Zbl 1296.35098 Kapustin, N. Yu. 1 2013 On the multiple spectrum of a problem for the Bessel equation with squared spectral parameter in the boundary condition. Zbl 1492.34021 Moiseev, E. I.; Moiseev, T. E.; Kapustin, N. Yu. 1 2021 \(L_2\) solvability of the Tricomi-Neumann problem for a parabolic-hyperbolic equation with degenerate hyperbolic part. Zbl 1416.35167 Kapustin, N. Yu. 1 2019 On the multiple spectrum of a problem for the Bessel equation with squared spectral parameter in the boundary condition. Zbl 1492.34021 Moiseev, E. I.; Moiseev, T. E.; Kapustin, N. Yu. 1 2021 On the multiple spectrum of a problem for the Bessel equation. Zbl 1468.34036 Moiseev, E. I.; Moiseev, T. E.; Kapustin, N. Yu. 2 2020 Spectral solution of a boundary value problem for equation of mixed type. Zbl 1428.35238 Kapustin, N.; Kholomeeva, A. 2 2019 \(L_2\) solvability of the Tricomi-Neumann problem for a parabolic-hyperbolic equation with degenerate hyperbolic part. Zbl 1416.35167 Kapustin, N. Yu. 1 2019 Basis property of the system of root functions of a classical spectral problem with a multiple eigenvalue. Zbl 1412.34233 Kapustin, N. Yu. 2 2018 Basis properties of a problem for the Laplace operator on the square with spectral parameter in a boundary condition. Zbl 1516.35275 Kapustin, N. Yu. 2 2017 On an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation. Zbl 1387.35423 Kapustin, N. Yu. 1 2017 On the multiple spectrum of a problem for the Bessel equation with spectral parameter in the boundary condition. Zbl 1360.34169 Kapustin, N. Yu.; Moiseev, T. E. 3 2016 On the basis property of the system of eigenfunctions of a problem with squared spectral parameter in a boundary condition. Zbl 1332.34050 Kapustin, N. Yu. 6 2015 On two spectral problems with the same characteristic equation. Zbl 1333.34124 Kapustin, N. Yu. 5 2015 On a problem with a boundary condition of the second kind, a complex-valued coefficient, and a spectral parameter in the other boundary condition. Zbl 1310.34110 Kapustin, N. Yu. 2 2014 On the uniform convergence of spectral expansions in a problem for the Laplace operator on the square with spectral parameter in the boundary condition. Zbl 1296.35098 Kapustin, N. Yu. 1 2013 On the spectral problem arising in the solution of a mixed problem for the heat equation with a mixed derivative in the boundary condition. Zbl 1257.35064 Kapustin, N. Yu. 13 2012 On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition. Zbl 1266.34136 Kapustin, N. Yu. 6 2012 On the uniform convergence in \(C^{1}\) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition. Zbl 1244.34104 Kapustin, N. Yu. 14 2011 On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition. Zbl 1211.42005 Kapustin, N. Yu. 15 2010 On a spectral problem in the theory of the heat operator. Zbl 1193.34027 Kapustin, N. Yu. 5 2009 Sharpening an a priori estimate of the solution of a well-known problem for a parabolic-hyperbolic equation. Zbl 1190.35166 Moiseev, E. I.; Kapustin, N. Yu. 1 2009 On a spectral problem for the Bessel equation of zero order. Zbl 1189.34031 Kapustin, N. Yu.; Moiseev, T. E. 1 2008 Spectral problem with spectral parameter in the boundary condition in the theory of the radial heat equation. Zbl 1162.35383 Kapustin, N. Yu.; Moiseev, T. E. 4 2007 On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends. Zbl 1355.74049 Kapustin, N. Yu. 23 2005 An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series. Zbl 1123.35337 Moiseev, E. I.; Kapustin, N. Yu. 7 2003 On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition. Zbl 1259.34085 Moiseev, E. I.; Kapustin, N. Yu. 20 2002 A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition. Zbl 1031.34011 Kapustin, N. Yu.; Moiseev, E. I. 19 2001 The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition. Zbl 1005.34075 Kapustin, N. Yu.; Moiseev, E. I. 40 2000 Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition. Zbl 0990.34071 Kapustin, N. Yu.; Moiseev, E. I. 20 2000 Oscillation properties of solutions to a nonselfadjoint spectral problem with spectral parameter in the boundary condition. Zbl 1009.34076 Kapustin, N. Yu. 13 1999 On a spectral problem for the Laplace operator in the square with spectral parameter in the boundary condition. Zbl 1003.35103 Kapustin, N. Yu.; Moiseev, E. I. 6 1998 Spectral problems with the spectral parameter in the boundary condition. Zbl 0911.34070 Kapustin, N. Yu.; Moiseev, E. I. 25 1997 On the spectral problem from the theory of the parabolic-hyperbolic heat equation. Zbl 0965.34070 Kapustin, N. Yu.; Moiseev, E. I. 13 1997 Solution of a problem in the theory of a Frankl’s problem for equations of mixed type. Zbl 0776.35036 Kapustin, N. Yu.; Sabitov, K. B. 5 1991 On the solution of a problem in the theory of the Frankl’ problem for equations of mixed type. Zbl 0781.35039 Kapustin, N. Yu.; Sabitov, K. B. 3 1991 Solvability in the class \(L_ 2\) of a problem with a boundary condition on the characteristic for a hyperbolic equation with order degeneration. Zbl 0706.35080 Kapustin, N. Yu. 1 1990 On solvability in the class \(L_ 2\) of a characteristic problem for a hyperbolic equation with degeneration of order. Zbl 0746.35009 Kapustin, N. Yu. 1 1990 \(L_ 2\)-solvability of boundary-value problems for equations of mixed type. Zbl 0682.35079 Kapustin, N. Yu. 2 1989 Tricomi’s problem for a parabolic-hyperbolic equation with a degenerating hyperbolic part. II. Zbl 0677.35073 Kapustin, N. Yu. 7 1988 A question concerning the general solvability of the first Darboux problem. Zbl 0664.35055 Kapustin, N. Yu.; Shoniya, Z. V. 1 1988 Tricomi problem for a parabolic-hyperbolic equation with degeneracy in the hyperbolic part. I. Zbl 0651.35064 Kapustin, N. Yu 11 1987 On the existence and uniqueness of an \(L_ 2\)-solution of Tricomi’s problem for a parabolic-hyperbolic equation. Zbl 0635.35070 Kapustin, N. Yu. 1 1986 Solvability in \(L_ 2\) of Tricomi’s problem for a parabolic-hyperbolic equation with a degenerate hyperbolic art. Zbl 0605.35062 Kapustin, N. Yu. 1 1986 On generalized solvability of the Tricomi problem for a parabolo-hyperbolic equation. Zbl 0589.35079 Kapustin, N. Yu. 1 1984 An estimate of the solution of the Tricomi problem for a system of equations of parabolic-hyperbolic type. Zbl 0514.35061 Kapustin, N. Yu. 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 111 Authors 21 Aliyev, Ziyatkhan S. 19 Kapustin, N. Yu 10 Kerimov, Nazim B. 10 Sidorov, Stanislav Nikolaevich 6 Akhtyamov, Azamat Moukhtarovich 6 Sabitov, Kamil’ Basirovich 5 Islomov, Bozor Islomovich 5 Namazov, Faiq Mirzali 4 Maris, Emir Ali 4 Mehraliyev, Yashar T. 4 Mirsaburov, Mirakhmat 3 Aliev, Bahram A. 3 Gao, Chenghua 3 Ismailov, Mansur I. 3 Mehrabov, Vuqar A. 3 Moiseev, Evgeniĭ Ivanovich 3 Moiseev, T. E. 3 Tekin, Ibrahim 2 Abdullayeva, Konul F. 2 Ala, Volkan 2 Ashurov, Ravshan Rajabovich 2 Berdyshev, Abdumauvlen Suleymanovich 2 Chorieva, S. T. 2 Goktas, Sertac 2 Guliyeva, Sevinc B. 2 Gulyaev, D. A. 2 Heydarzade, Nergiz A. 2 Karimov, Erkinjon Tulkinovich 2 Kholomeeva, Anna A. 2 Kumushbaev, R. R. 2 Mamedova, Gunay T. 2 Sadovnichiĭ, Viktor Antonovich 2 Sultanaev, Yaudat Talgatovich 2 Valovik, Dmitry V. 1 Abdullaev, A. A. 1 Abdullaeva, K. F. 1 Agarwal, Praveen 1 Aitbaeva, A. A. 1 Akbarfam, Aliasghar Jodayree 1 Akhmadov, Ilkhom Ali ugli 1 Akhtaeva, Nazgul S. 1 Alikulov, E. K. 1 Amirov, Rauf Kh. 1 Azizbayov, Elvin Ibrahim 1 Babajanova, Yulduz 1 Baltaeva, Umida Ismailovna 1 Bedin, Luciano 1 Bilalov, Bilal Telman oglu 1 Cabada, Alberto 1 Cakmak, Yasar 1 Chalyshov, G. V. 1 Chappell, David J. 1 Derbissaly, Bauyrzhan O. 1 Dun’yamalieva, A. A. 1 Dunyamaliyeva, Aida A. 1 Ergasheva, S. B. 1 Eshmatov, Bakhodir E. 1 Fayziev, Yusuf Ergashevich 1 Gasymov, Telman Benser oglu 1 Georgievskiĭ, Dmitriĭ Vladimirovich 1 Güldü, Yalçın 1 Hadiyeva, Sevinj S. 1 Hashimoglu, Ilyas F. 1 Hazanee, Areena 1 Huntul, Mousa J. 1 Ibadzadeh, Chinare G. 1 Ionkin, Nikolai I. 1 Ismailov, Miqdad I. 1 Kapustin, Nikolay 1 Kerimov, Vugar Z. 1 Keskin, Baki 1 Khubiev, Kazbek Uzeirovich 1 Lesnic, Daniel 1 Li, Xiaolong 1 Lv, Li 1 Ma, Ruyun 1 Maharramova, Gular V. 1 Manafova, Parvana R. 1 Mirsaburova, Gulbakhor M. 1 Mirsaburova, U. M. 1 Morozova, Valentina A. 1 Mosazadeh, Seyfollah 1 Movsumova, Hajar F. 1 Muhiddinova, O. T. 1 Muhtarov, Fahreddin S. 1 Mukhtarov, Oktay Sh. 1 Muratbekov, Madi M. 1 Muratbekov, Mussakan Baipakbaevich 1 Nabiev, Ibrahim M. 1 Okboev, A. B. 1 Olǧar, Hayati 1 Özdemir, Necati 1 Ozkan, Ahmet Sinan 1 Poladov, Rovshan G. 1 Ran, Maojun 1 Ruziev, Menglibay Kholtojibaevich 1 Safin, E. M. 1 Semerdjieva, Rossitza I. 1 Shkalikov, Andreĭ Andreevich 1 Shukurov, Aydin Shukur ...and 11 more Authors all top 5 Cited in 50 Serials 43 Differential Equations 10 Lobachevskii Journal of Mathematics 9 Russian Mathematics 8 Doklady Mathematics 5 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 3 Mathematical Methods in the Applied Sciences 3 Mathematical Notes 3 Bulletin of the Iranian Mathematical Society 3 Mediterranean Journal of Mathematics 2 Journal of Differential Equations 2 Turkish Journal of Mathematics 2 Filomat 2 Journal of Inverse and Ill-Posed Problems 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Journal of Integral Equations and Applications 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Integral Transforms and Special Functions 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Communications in Nonlinear Science and Numerical Simulation 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Hacettepe Journal of Mathematics and Statistics 1 Inverse Problems in Science and Engineering 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Advances in Differential Equations and Control Processes 1 International Journal of Differential Equations 1 Eurasian Mathematical Journal 1 ISRN Mathematical Analysis 1 Azerbaijan Journal of Mathematics 1 Problemy Fiziki, Matematiki i Tekhniki 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Applied Mathematics and Nonlinear Sciences 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 AIMS Mathematics all top 5 Cited in 14 Fields 78 Ordinary differential equations (34-XX) 59 Partial differential equations (35-XX) 14 Operator theory (47-XX) 8 Mechanics of deformable solids (74-XX) 4 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year