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1
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Antontsev S.N.
, Kuznetsov I.V.
, Prokudin D.A.
, Sazhenkov S.A.
The impulsive Kelvin--Voigt equations for two-component mixtures of viscoelastic fluids
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2025.
V.22. N1. P.563-586. DOI: 10.33048/semi.2025.22.038
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2
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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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3
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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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4
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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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5
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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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6
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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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7
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Antontsev S.N.
, Kuznetsov I.V.
, Sazhenkov S.A.
KELVIN–VOIGT IMPULSE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS
Journal of Applied Mechanics and Technical Physics. 2024.
N5.
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8
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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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9
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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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10
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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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11
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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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12
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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
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13
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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
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14
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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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15
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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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16
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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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17
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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.
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18
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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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19
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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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20
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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
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