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Inverse Problems in Science and Engineering Volume 19, 2011 - Issue 7
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Original Articles

On inverse problems for pseudoparabolic and parabolic equations of filtration

A.Sh. LyubanovaDepartment of Information Systems and Technologies in Metalurgy, Siberian Federal University, 95 Krasnoyarskii Rabochii Avenue, Krasnoyarsk 660025, Russia
&
A. TaniDepartment of Mathematics, Keio University 3-14-1, Hiyoshi, Yokohama 223-8522, Japan
Pages 1023-1042 | Received 02 Nov 2010, Accepted 03 Mar 2011, Published online: 04 May 2011

Citations (12)

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Michael Ruzhansky, Daurenbek Serikbaev, Berikbol T. Torebek & Niyaz Tokmagambetov. (2022) Direct and inverse problems for time-fractional pseudo-parabolic equations. Quaestiones Mathematicae 45:7, pages 1071-1089.
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A.Sh. Lyubanova & A. Tani. (2013) An inverse problem for pseudoparabolic equation of filtration: the stabilization. Applicable Analysis 92:3, pages 573-585.
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Articles from other publishers (10)

Stanislav Nikolaevich Antontsev, Serik Ersultanovich Aitzhanov & Guzel Rashitkhuzhakyzy Ashurova. (2022) An inverse problem for the pseudo-parabolic equation with p-Laplacian. Evolution Equations & Control Theory 11:2, pages 399.
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Anna Sh. Lyubanova. (2021) Nonlinear boundary value problem for pseudoparabolic equation. Journal of Mathematical Analysis and Applications 493:2, pages 124514.
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Nguyen Hoang Luc, Devendra Kumar, Le Thi Diem Hang & Nguyen Huu Can. (2020) On a final value problem for a nonhomogeneous fractional pseudo-parabolic equation. Alexandria Engineering Journal 59:6, pages 4353-4364.
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Daurenbek Serikbaev. (2020) Inverse problem for fractional order pseudo-parabolic equation with involution. Ufa Mathematical Journal Ufimskii Matematicheskii Zhurnal 12:4, pages 119-135.
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S.N. Shergin, E.I. Safonov & S.G. Pyatkov. (2019) On Some Inverse Coefficient Problems with the Pointwise Overdetermination for Mathematical Models of Filtration. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 12:1, pages 82-95.
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S.N. Shergin. (2019) A Numerical Algorithm for Solving Inverse Filtration Problems with the Pointwise Overdetermination. Journal of Computational and Engineering Mathematics 6:3, pages 39-53.
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Nataliia Kinash & Jaan Janno. (2017) Inverse problems for a perturbed time fractional diffusion equation with final overdetermination. Mathematical Methods in the Applied Sciences 41:5, pages 1925-1943.
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S.G. Pyatkov & S.N. Shergin. (2016) Inverse Problems for Some Sobolev-Type Mathematical Models. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 9:2, pages 75-89.
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S.G. Pyatkov & S.N. Shergin. (2015) On Some Mathematical Models of Filtration Theory. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 8:2, pages 105-116.
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A. Sh. Lyubanova. (2014) Inverse problem for a pseudoparabolic equation with integral overdetermination conditions. Differential Equations 50:4, pages 502-512.
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