1
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
, Shmarev S.
Strong solutions of a semilinear impulsive pseudoparabolic equation with an infinitesimal initial layer
Journal of Mathematical Analysis and Applications. 2024.
V.530. N1. 127751
:1-22. DOI: 10.1016/j.jmaa.2023.127751
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OpenAlex
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2
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Антонцев С.Н.
, Кузнецов И.В.
, Саженков С.А.
ИМПУЛЬСНЫЕ УРАВНЕНИЯ КЕЛЬВИНА–ФОЙГТА ДИНАМИКИ НЕСЖИМАЕМОЙ ВЯЗКОУПРУГОЙ ЖИДКОСТИ
Прикладная механика и техническая физика. 2024.
Т.65. №5. С.28-42. DOI: 10.15372/PMTF202415472
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OpenAlex
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3
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Antontsev S.
, Kuznetsov I.
, Sazhenkov S.
, Shmarev S.
Solutions of impulsive p(x,t)-parabolic equations with an infinitesimal initial layer
Nonlinear Analysis: Real World Applications. 2024.
V.80. 104162
:1-23. DOI: 10.1016/j.nonrwa.2024.104162
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OpenAlex
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4
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Антонцев С.Н.
, Кузнецов И.В.
УРАВНЕНИЯ КЕЛЬВИНА ̶ ФОЙГТА СО СКАЧКООБРАЗНЫМ ПРОФИЛЕМ ПЛОТНОСТИ
Прикладная механика и техническая физика. 2024.
DOI: 10.15372/PMTF202415504
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5
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Antontsev S.N.
, Khompysh K.
Inverse Problems for Heat Convection System for Incompressible Viscoelastic Fluids
Lobachevskii Journal of Mathematics. 2024.
V.45. N4. P.1349-1365. DOI: 10.1134/s1995080224601152
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6
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Antontsev S.N.
, Aitzhanov S.E.
, Zhanuzakova D.T.
An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition
Mathematical Methods in the Applied Sciences. 2023.
V.46. N1. P.1111-1136. DOI: 10.1002/mma.8568
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7
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on (x,t) and negative initial energy
Nonlinear Analysis: Real World Applications. 2023.
V.71. 103837
:1-15. DOI: 10.1016/j.nonrwa.2023.103837
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РИНЦ
OpenAlex
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8
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
Global existence and regularity for a pseudo-parabolic equation with p(x,t)-Laplacian
Journal of Mathematical Analysis and Applications. 2023.
V.526. N1. 127202
:1-33. DOI: 10.1016/j.jmaa.2023.127202
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РИНЦ
OpenAlex
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9
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Antontsev S.N.
, Khompysh K.
Inverse problems for a Boussinesq system for incompressible viscoelastic fluids
Mathematical Methods in the Applied Sciences. 2023.
V.46. N9. P.11130-11156. DOI: 10.1002/mma.9172
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РИНЦ
OpenAlex
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10
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Antontsev S.
, Kuznetsov I.
, Sazhenkov S.
ONE-DIMENSIONAL IMPULSIVE PSEUDOPARABOLIC EQUATION WITH CONVECTION AND ABSORPTION
Interfacial Phenomena and Heat Transfer. 2023.
V.11. N4. 17-33
:1-1. DOI: 10.1615/interfacphenomheattransfer.2023049787
Scopus
РИНЦ
OpenAlex
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11
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Antontsev S.N.
, de Oliveira H.B.
Cauchy problem for the Navier–Stokes–Voigt model governing nonhomogeneous flows
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2022.
V.116. N4. 158
:1-23. DOI: 10.1007/s13398-022-01300-x
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РИНЦ
OpenAlex
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12
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Antontsev S.N.
, Aitzhanov S.E.
, Ashurova G.R.
An inverse problem for the pseudo-parabolic equation with p-Laplacian
Evolution Equations and Control Theory. 2022.
V.11. N2. P.399-414. DOI: 10.3934/eect.2021005
Scopus
РИНЦ
OpenAlex
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13
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping
Nonlinear Differential Equations and Applications. 2022.
V.29. N5. 60
. DOI: 10.1007/s00030-022-00794-z
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РИНЦ
OpenAlex
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14
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
On a class of nonlocal evolution equations with the p[∇u]-Laplace operator
Journal of Mathematical Analysis and Applications. 2021.
V.501. N2. P.125221. DOI: 10.1016/j.jmaa.2021.125221
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РИНЦ
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15
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Antontsev S.N.
, Ferreira J.
, Piskin E.
Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities
Electronic Journal of Differential Equations. 2021.
V.2021. N06. P.1-18.
РИНЦ
OpenAlex
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16
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Antontsev S.N.
, Ferreira J.
, Pişkin E.
, Cordeiro S.M.S.
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents
Nonlinear Analysis: Real World Applications. 2021.
V.61. P.103341. DOI: 10.1016/j.nonrwa.2021.103341
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РИНЦ
OpenAlex
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17
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Antontsev S.N.
, Ferreira J.
, Pişkin E.
, Yüksekkaya H.
, Shahrouzi M.
Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents
Electronic Journal of Differential Equations. 2021.
V.2021. N84. P.1-20. DOI: 10.22541/au.160975791.14681913/v1
РИНЦ
OpenAlex
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18
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Antontsev S.N.
, Khompysh K.
An inverse problem for generalized Kelvin–Voigt equation with p-Laplacian and damping term
Inverse Problems. 2021.
V.37. N8. P.085012. DOI: 10.1088/1361-6420/ac1362
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РИНЦ
OpenAlex
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19
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity
Nonlinearity. 2021.
V.34. N5. P.3083-3111. DOI: 10.1088/1361-6544/abe51e
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РИНЦ
OpenAlex
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20
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Antontsev S.
, de Oliveira H.B.
, Khompysh K.
Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior
Asymptotic Analysis. 2021.
V.121. N2. P.125-157. DOI: 10.3233/asy-201597
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РИНЦ
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21
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Antontsev S.N.
, Papin А.А.
, Tokareva M.A.
, Leonova E.I.
, Gridushko E.A.
МОДЕЛИРОВАНИЕ ВОЗНИКНОВЕНИЯ ОПУХОЛЕЙ - II
Известия Алтайского государственного университета / Izvestiya of Altai State University. 2021.
№1(117). С.72-83. DOI: 10.14258/izvasu(2021)1-12
РИНЦ
OpenAlex
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22
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Antontsev S.N.
, Papin A.A.
, Tokareva M.A.
, Leonova E.I.
, Gridushko E.A.
МОДЕЛИРОВАНИЕ ВОЗНИКНОВЕНИЯ И РОСТА ОПУХОЛЕЙ-III
Известия Алтайского государственного университета / Izvestiya of Altai State University. 2021.
№4(120). С.71-80. DOI: 10.14258/izvasu(2021)4-11
РИНЦ
OpenAlex
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23
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
A shock layer arising as the source term collapses in the p(x)-Laplacian equation
Problemy Analiza. 2020.
V.27. N3. P.31-53. DOI: 10.15393/j3.art.2020.8990
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РИНЦ
OpenAlex
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24
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Antontsev S.
, Shmarev S.
On a class of nonlocal evolution equations with the p[u(x,t)]-Laplace operator
Nonlinear Analysis: Real World Applications. 2020.
V.56. P.103165. DOI: 10.1016/j.nonrwa.2020.103165
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РИНЦ
OpenAlex
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25
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Antontsev S.
, Shmarev S.
Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity
Nonlinear Analysis. 2020.
V.195. P.111724. DOI: 10.1016/j.na.2019.111724
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РИНЦ
OpenAlex
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26
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Antontsev S.
, Shmarev S.
Nonlocal evolution equations with p[u(x, t)]-Laplacian and lower-order terms
Journal of Elliptic and Parabolic Equations. 2020.
V.6. N1. P.211-237. DOI: 10.1007/s41808-020-00065-x
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РИНЦ
OpenAlex
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27
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Antontsev S.
, Ferreira J.
A nonlinear viscoelastic plate equation with $\vec{p}(x,t)$-Laplace operator: Blow up of solutions with negative initial energy
Nonlinear Analysis: Real World Applications. 2020.
V.59. P.103240. DOI: 10.1016/j.nonrwa.2020.103240
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РИНЦ
OpenAlex
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28
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Regularity and uniqueness of Kelvin-Voigt models for nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2020.
V.1666. N1. 012003
:1-6. DOI: 10.1088/1742-6596/1666/1/012003
Scopus
РИНЦ
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29
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Антонцев С.Н.
, Папин A.A.
, Токарева М.А.
, Леонова Э.И.
, Гридюшко Е.А.
Моделирование возникновения и роста опухолей - I
Известия АлтГУ. Математика и механика... 2020.
№4 (114). С.70-80. DOI: 10.14258/izvasu(2020)4-11
РИНЦ
OpenAlex
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30
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2019.
V.1268. N1. P.012008. DOI: 10.1088/1742-6596/1268/1/012008
Scopus
РИНЦ
OpenAlex
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31
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Antontsev S.
, Öztürk E.
Well-posedness and long time behavior for p-Laplacian equation with nonlinear boundary condition
Journal of Mathematical Analysis and Applications. 2019.
V.472. N2. P.1604-1630. DOI: 10.1016/j.jmaa.2018.12.011
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РИНЦ
OpenAlex
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32
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Kelvin–Voigt equations perturbed by anisotropic relaxation, diffusion and damping
Journal of Mathematical Analysis and Applications. 2019.
V.473. N2. P.1122-1154. DOI: 10.1016/j.jmaa.2019.01.011
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РИНЦ
OpenAlex
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33
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Antontsev S.N.
, Aitzhanov S.E.
Inverse Problem for an Equation with A Nonstandard Growth Condition
Journal of Applied Mechanics and Technical Physics. 2019.
V.60. N2. P.265-277. DOI: 10.1134/s0021894419020081
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РИНЦ
OpenAlex
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34
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Antontsev S.
, Shmarev S.
Higher regularity of solutions of singular parabolic equations with variable nonlinearity
Applicable Analysis. 2019.
V.98. N1-2. P.310-331. DOI: 10.1080/00036811.2017.1382690
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РИНЦ
OpenAlex
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35
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Antonsev S.
, Shmarev S.
, Simsen J.
, Simsen M.
Differential inclusion for the evolution p(x)-laplacianwith memory
Electronic Journal of Differential Equations. 2019.
V.2019. N26. P.1-28.
РИНЦ
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36
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Antontsev S.
, Shmarev S.
On a class of fully nonlinear parabolic equations
Advances in Nonlinear Analysis. 2019.
V.8. N1. P.79-100. DOI: 10.1515/anona-2016-0055
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РИНЦ
OpenAlex
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37
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Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids
Communications in Mathematical Sciences. 2019.
V.17. N7. P.1915-1948. DOI: 10.4310/cms.2019.v17.n7.a7
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РИНЦ
OpenAlex
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38
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Antontsev S.
, Kuznetsov I.
, Shmarev S.
Global higher regularity of solutions to singular p(x,t)-parabolic equations
Journal of Mathematical Analysis and Applications. 2018.
V.466. N1. P.238-263. DOI: 10.1016/j.jmaa.2018.05.075
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РИНЦ
OpenAlex
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39
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Antontsev S.N.
, Kuznetsov I.V.
EXISTENCE OF ENTROPY MEASURE-VALUED SOLUTIONS FOR FORWARD-BACKWARD P-PARABOLIC EQUATIONS
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017.
V.14. P.774-793. DOI: 10.17377/semi.2017.14.066
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