Yang, Fan; Yan, Lu-Lu; Liu, Hao; Li, Xiao-Xiao Two regularization methods for identifying the unknown source of Sobolev equation with fractional Laplacian. (English) Zbl 07925046 J. Appl. Anal. Comput. 15, No. 1, 198-225 (2025). MSC: 35R25 35R30 35K20 47A52 × Cite Format Result Cite Review PDF Full Text: DOI
Pyatkov, S.; Pronkina, T. Coefficient inverse problems of identification of thermophysical parameters from boundary integral data. (English) Zbl 07952656 J. Math. Sci., New York 284, No. 2, 241-252 (2024). MSC: 35Rxx 35Kxx 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Pyatkov, Sergeĭ Grigor’evich; Potapkov, Alekseĭ Aleksandrovich On some classes of coefficirnt inverse problems of recovering thermophysical parameters in stratified media. (Russian. English summary) Zbl 07947824 Mat. Zamet. SVFU 31, No. 2, 31-45 (2024). MSC: 35R30 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Straughan, Brian Stability problems with generalized Navier-Stokes-Voigt theories. (English) Zbl 07936963 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 4, 1747-1766 (2024). MSC: 35Q35 76E06 76E05 76D99 × Cite Format Result Cite Review PDF Full Text: DOI
Choulli, Mourad; Metidji, Abdelmalek; Soccorsi, Éric Multidimensional Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential. (English) Zbl 1543.35287 Doc. Math. 29, No. 4, 959-984 (2024). MSC: 35R30 35J10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sukacheva, Tamara Gennad’evna; Kondyukov, Alekseĭ Olegovich Analysis of the Avalos-Triggiani problem for the linear Oskolkov system of the highest order and a system of wave equations. (English) Zbl 1543.35174 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 2, 104-110 (2024). MSC: 35Q35 76A10 74F10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Soldatova, Ekaterina Aleksandrovna; Keller, Alevtina Viktorovna Numerical algorithm and computational experiments for one linear stochastic Hoff model. (English) Zbl 1543.35232 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 2, 83-95 (2024). MSC: 35Q74 74K10 60H15 60H40 65M60 74S05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nikolaeva, Nadezhda Gennad’evna; Gavrilova, Ol’ga Vital’evna; Manakova, Natal’ya Aleksandrovna Investigation of the uniqueness solution of the Showalter-Sidorov problem for the mathematical Hoff model. Phase space morphology. (English) Zbl 1543.35105 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 1, 49-63 (2024). MSC: 35K70 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kitaeva, Ol’ga Gennad’evna Stability of solutions to the stochastic Oskolkov equation and stabilization. (English) Zbl 1543.35301 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 1, 17-26 (2024). MSC: 35R60 35B40 35Q35 35S10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Jleli, Mohamed; Samet, Bessem On the critical behavior for a Sobolev-type inequality with Hardy potential. (English. French summary) Zbl 1535.35223 C. R., Math., Acad. Sci. Paris 362, 87-97 (2024). MSC: 35R45 35A01 35B33 35K20 35K70 × Cite Format Result Cite Review PDF Full Text: DOI
Kondiukov, Alexey O.; Sukacheva, Tamara G. The linear Oskolkov system of non-zero order in the Avalos-Triggiani problem. (English) Zbl 07908446 J. Comput. Eng. Math. 10, No. 3, 17-23 (2023). MSC: 35G61 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Shafranov, Dmitriĭ Evgen’evich Numerical solutions for the Cauchy problem for the Oskolkov equation in the spaces of differential forms with stochastic coefficients. (English) Zbl 07899620 J. Comput. Eng. Math. 10, No. 2, 42-51 (2023). MSC: 35R60 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nikolaeva, Nadezhda Gennad’evna; Gavrilova, Ol’ga Vital’evna; Manakova, Natal’ya Aleksandrovna Numerical investigation of the non-uniqueness of solutions of the Showalter-Sidorov problem for the Hoff mathematical model on a rectangle. (English) Zbl 07899619 J. Comput. Eng. Math. 10, No. 2, 26-41 (2023). MSC: 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Opryshko, Ol’ga Vladimirovna Numerical simulation of nea-bottom parts of a tornado and a tropical cyclone in a stationary case. (English) Zbl 07899483 J. Comput. Eng. Math. 10, No. 1, 30-43 (2023). MSC: 35G15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kitaeva, Ol’ga Gennad’evna Stabilization of the stochastic Barenblatt-Zheltov-Kochina equation. (English) Zbl 07899482 J. Comput. Eng. Math. 10, No. 1, 21-29 (2023). MSC: 35G05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Pyatkov, Sergeĭ Grigor’evich; Sokolkov, Oleg Igorevich On some classes of coefficient inverse problems of recovering thermophysical parameters in stratified media. (Russian. English summary) Zbl 1536.35382 Mat. Zamet. SVFU 30, No. 2, 56-74 (2023). MSC: 35R30 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Sukacheva, Tamara Gennad’evna; Kondyukov, Alekseĭ Olegovich An analysis of the Avalos-Triggiani problem for the linear Oskolkov system of non-zero order and a system of wave equations. (English) Zbl 1533.35284 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 4, 93-98 (2023). MSC: 35Q35 76A10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Keller, Alevtina Viktorovna Sobolev-type systems and applied problems. (Russian. English summary) Zbl 1533.35205 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 4, 5-32 (2023). MSC: 35K70 35K90 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Assanova, Anar T. Solvability to an initial-periodic problem for delay partial differential equations of Sobolev type. (English) Zbl 1523.35275 Quaest. Math. 46, No. 9, 1751-1764 (2023). MSC: 35R10 35B10 35G16 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Mengmeng; Yang, Yan; Feng, Minfu A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 1505.65261 Appl. Numer. Math. 184, 406-430 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76A10 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Shafranov, Dmitriĭ Evgen’evich Sobolev type equations in spaces of differential forms on Riemannian manifolds without boundary. (English) Zbl 1492.35004 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 112-122 (2022). MSC: 35-02 35K70 35R01 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kitaeva, Ol’ga Gennad’evna Invariant manifolds of semilinear Sobolev type equations. (English) Zbl 1492.35003 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 101-111 (2022). MSC: 35-02 35B42 35K70 35S10 37L25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Manakova, Natal’ya Aleksandrovna; Gavrilova, Ol’ga Vital’evna; Perevozchikova, Kseniya Vladimirovna Semilinear models of Sobolev type. Non-uniqueness of solution to the Showalter-Sidorov problem. (Russian. English summary) Zbl 1501.35349 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 84-100 (2022). MSC: 35Q53 35Q92 35Q74 35Q35 35A02 35R01 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zagrebina, Sof’ya Aleksandrovna; Konkina, Aleksandra Sergeevna The non-classical models of mathematical physics the multipoint initial-final value condition. (Russian. English summary) Zbl 1492.35005 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 60-83 (2022). MSC: 35-02 35K70 60H30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sukacheva, Tamara Gennad’evna Oskolkov models and Sobolev-type equations. (English) Zbl 1492.35233 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 5-22 (2022). MSC: 35Q35 76A10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Favini, Angelo; Zagrebina, Sophiya A.; Sviridyuk, Georgy A. The multipoint initial-final value condition for the Hoff equations on geometrical graph in spaces of \(\mathbf{K}\)-“noises”. (English) Zbl 1485.35363 Mediterr. J. Math. 19, No. 2, Paper No. 53, 19 p. (2022). MSC: 35R02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Perevozhikova, Kseniya Vladimirovna; Manakova, Natal’ya Aleksandrovna Research of the optimal control problem for one mathematical model of the Sobolev type. (English) Zbl 1483.35305 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 4, 36-45 (2021). MSC: 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kitaeva, Ol’ga Gennad’evna Invariant manifolds of the Hoff model in “noise” spaces. (English) Zbl 1486.35484 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 4, 24-35 (2021). MSC: 35R60 35K20 35K70 35S10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Big-Alabo, Akuro; Ezekwem, Chidozie Accurate solution and analysis of the transient temperature and stability of combustible micron-sized iron particle in gaseous oxidizing environment. (English) Zbl 1499.80009 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 57, 18 p. (2021). MSC: 80A25 80A19 80A21 35F20 80M99 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Shafranov, D. E.; Kitaeva, O. G.; Sviridyuk, G. A. Stochastic equations of Sobolev type with relatively \(p \)-radial operators in spaces of differential forms. (English. Russian original) Zbl 1480.60183 Differ. Equ. 57, No. 4, 507-516 (2021); translation from Differ. Uravn. 57, No. 4, 526-535 (2021). MSC: 60H15 60H10 60H30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Gavrilova, O. V. Optimal control over solutions of a multicomponent model of reaction-diffusion in a tubular reactor. (English) Zbl 1457.49018 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 12, No. 1, 14-23 (2020). MSC: 49K20 35K57 × Cite Format Result Cite Review PDF Full Text: MNR
Banasiak, Jacek; Manakova, Natal’ya Aleksandrovna; Sviridyuk, Georgiĭ Anatol’evich Positive solutions to Sobolev type equations with relatively \(p\)-sectorial operators. (English) Zbl 07293385 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 13, No. 2, 17-32 (2020). MSC: 47Dxx 35-XX × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zamyshlyaeva, Alyona A.; Lut, Aleksandr V. Inverse problem for the Boussinesq-Love mathematical model. (English) Zbl 1494.35196 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 427-434 (2020). MSC: 35R30 35Q53 47A10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Keller, Alevtina V.; Sagadeeva, Minzilia A. Degenerate matrix groups and degenerate matrix flows in solving the optimal control problem for dynamic balance models of the economy. (English) Zbl 1494.91087 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 263-277 (2020). MSC: 91B55 49J27 35Q35 49J15 35K70 × Cite Format Result Cite Review PDF Full Text: DOI
Sedov, A. I. The use of the inverse problem of spectral analysis to forecast time series. (English) Zbl 1499.35721 J. Comput. Eng. Math. 6, No. 1, 74-78 (2019). MSC: 35R30 35A01 47A52 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zamyshlyaeva, A. A.; Tsyplenkova, O. N. Optimal control of solutions to the initial-final problem for the model of linear waves in a plasma. (English) Zbl 1459.35087 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 11, No. 4, 26-31 (2019). MSC: 35G16 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kondyukov, Alekseĭ Olegovich; Sukacheva, Tamara Gennad’evna A non-stationary model of the incompressible viscoelastic Kelvin-Voigt fluid of non-zero order in the magnetic field of the Earth. (English) Zbl 1433.35284 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 42-51 (2019). MSC: 35Q35 35G61 76A10 35A01 35A02 86A25 86A05 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Goncharov, Nikita Sergeevich The Barenblatt-Zheltov-Kochina model on the segment with Wentzell boundary conditions. (English) Zbl 1428.35091 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 2, 136-142 (2019). MSC: 35G16 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kirillov, Evgeniĭ Vadimovich; Zakirova, Galiya Amrullovna Spectral problem for a mathematical model of hydrodynamics. (English) Zbl 1458.76052 J. Comput. Eng. Math. 5, No. 1, 51-56 (2018). MSC: 76E99 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Furaev, V. Z.; Antonenko, A. I. Approximation of solutions to the boundary value problems for the generalized Boussinesq equation. (English) Zbl 1401.35288 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 10, No. 4, 145-150 (2017). MSC: 35Q79 35A35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Manakova, Natal’ya Aleksandrovna On modified method of multistep coordinate descent for optimal control problem for semilinear Sobolev-type model. (English) Zbl 1427.35303 J. Comput. Eng. Math. 3, No. 4, 59-72 (2016). MSC: 35Q93 49J20 65M60 65M06 65D32 35R35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zamyshlyaeva, A. A.; Tsyplenkova, O. N.; Bychkov, E. V. Optimal control of solutions to the initial-final problem for the Sobolev type equation of higher order. (English) Zbl 1356.49006 J. Comput. Eng. Math. 3, No. 2, 57-67 (2016). MSC: 49J27 49K27 35Q93 34H05 × Cite Format Result Cite Review PDF Full Text: DOI