Kostin, Andrey B.; Piskarev, Sergey I. Inverse source problem for the abstract fractional differential equation. (English) Zbl 1460.35393 J. Inverse Ill-Posed Probl. 29, No. 2, 267-281 (2021). MSC: 35R30 35K15 35K90 35R09 45Q05 PDFBibTeX XMLCite \textit{A. B. Kostin} and \textit{S. I. Piskarev}, J. Inverse Ill-Posed Probl. 29, No. 2, 267--281 (2021; Zbl 1460.35393) Full Text: DOI
Kostin, A. B.; Sherstyukov, V. B. Computation of sums of natural powers of the inverses of roots of an equation connected with a spectral problem. (English. Russian original) Zbl 1448.30003 J. Math. Sci., New York 244, No. 4, 624-641 (2020); translation from Probl. Mat. Anal. 101, 77-90 (2019). MSC: 30C15 33C10 35J05 PDFBibTeX XMLCite \textit{A. B. Kostin} and \textit{V. B. Sherstyukov}, J. Math. Sci., New York 244, No. 4, 624--641 (2020; Zbl 1448.30003); translation from Probl. Mat. Anal. 101, 77--90 (2019) Full Text: DOI
Kamynin, V. L.; Kostin, A. B. Recovery of multifactor source in parabolic equation with integral type observation. (English. Russian original) Zbl 1443.35193 J. Math. Sci., New York 244, No. 4, 608-623 (2020); translation from Probl. Mat. Anal. 101, 63-75 (2019). MSC: 35R30 35K20 PDFBibTeX XMLCite \textit{V. L. Kamynin} and \textit{A. B. Kostin}, J. Math. Sci., New York 244, No. 4, 608--623 (2020; Zbl 1443.35193); translation from Probl. Mat. Anal. 101, 63--75 (2019) Full Text: DOI
Kostin, A. B.; Sherstyukov, V. B. Basis property of the system of root functions of the oblique derivative problem for the Laplace operator in a disk. (English. Russian original) Zbl 1435.35133 Differ. Equ. 55, No. 10, 1349-1361 (2019); translation from Differ. Uravn. 55, No. 10, 1392-1404 (2019). MSC: 35J05 35P10 PDFBibTeX XMLCite \textit{A. B. Kostin} and \textit{V. B. Sherstyukov}, Differ. Equ. 55, No. 10, 1349--1361 (2019; Zbl 1435.35133); translation from Differ. Uravn. 55, No. 10, 1392--1404 (2019) Full Text: DOI
Prilepko, Aleksey I.; Kamynin, Vitaly L.; Kostin, Andrew B. Inverse source problem for parabolic equation with the condition of integral observation in time. (English) Zbl 1393.35079 J. Inverse Ill-Posed Probl. 26, No. 4, 523-539 (2018). MSC: 35K20 35R30 PDFBibTeX XMLCite \textit{A. I. Prilepko} et al., J. Inverse Ill-Posed Probl. 26, No. 4, 523--539 (2018; Zbl 1393.35079) Full Text: DOI
Kostin, A. B. Carleman parabola and the eigenvalues of elliptic operators. (English. Russian original) Zbl 1401.35215 Differ. Equ. 54, No. 3, 318-329 (2018); translation from Differ. Uravn. 54, No. 3, 325-335 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35P05 PDFBibTeX XMLCite \textit{A. B. Kostin}, Differ. Equ. 54, No. 3, 318--329 (2018; Zbl 1401.35215); translation from Differ. Uravn. 54, No. 3, 325--335 (2018) Full Text: DOI
Kostin, A. B. Criteria of the uniqueness of solutions and well-posedness of inverse source problems. (English. Russian original) Zbl 1391.35292 J. Math. Sci., New York 230, No. 6, 907-949 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 133 (2017). MSC: 35P05 35R30 47F05 PDFBibTeX XMLCite \textit{A. B. Kostin}, J. Math. Sci., New York 230, No. 6, 907--949 (2018; Zbl 1391.35292); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 133 (2017) Full Text: DOI
Kostin, A. Recovery of the coefficient of \(u_t\) in the heat equation from a condition of nonlocal observation in time. (English. Russian original) Zbl 1473.35652 Comput. Math. Math. Phys. 55, No. 1, 85-100 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 89-104 (2015). MSC: 35R30 35K20 PDFBibTeX XMLCite \textit{A. Kostin}, Comput. Math. Math. Phys. 55, No. 1, 85--100 (2015; Zbl 1473.35652); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 89--104 (2015) Full Text: DOI
Kamynin, V. L.; Kostin, A. B. Inverse problem of finding n coefficients of lower derivatives in a parabolic equation. (English. Russian original) Zbl 1297.35285 Differ. Equ. 50, No. 4, 476-488 (2014); translation from Differ. Uravn. 50, No. 4, 480-491 (2014). MSC: 35R30 35K10 PDFBibTeX XMLCite \textit{V. L. Kamynin} and \textit{A. B. Kostin}, Differ. Equ. 50, No. 4, 476--488 (2014; Zbl 1297.35285); translation from Differ. Uravn. 50, No. 4, 480--491 (2014) Full Text: DOI
Kostin, A. B. The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation. (English. Russian original) Zbl 1292.35329 Sb. Math. 204, No. 9, 1391-1434 (2013); translation from Mat. Sb. 204, No. 10, 3-46 (2013). MSC: 35R30 35K20 35B45 34A55 PDFBibTeX XMLCite \textit{A. B. Kostin}, Sb. Math. 204, No. 9, 1391--1434 (2013; Zbl 1292.35329); translation from Mat. Sb. 204, No. 10, 3--46 (2013) Full Text: DOI