Igor V. Frolenkov, Roman V. Sorokin, Ivan E. Zubrov, “On the solvability of Burgers-type equation with special type of non-linearity”, J. Sib. Fed. Univ. Math. Phys., 16:5 (2023), 690–699
2021
2.
Vera G. Kopylova, Igor V. Frolenkov, “On the solvability of the identification problem for a source function in a quasilinear parabolic system of equations in bounded and unbounded domains”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 483–491
2019
3.
Igor V. Frolenkov, Irina S. Antipina, Natalya M. Terskikh, “On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 298–309
2018
4.
I. V. Frolenkov, M. A. Yarovaya, “On the Cauchy problem for a one-dimensional loaded parabolic equation of a special form”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156 (2018), 58–72; J. Math. Sci. (N. Y.), 254:6 (2021), 761–775
5.
I. V. Frolenkov, E. N. Kriger, “On the solvability of the Cauchy problem for a certain class of multidimensional loaded parabolic equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156 (2018), 41–57; J. Math. Sci. (N. Y.), 254:6 (2021), 743–760
2016
6.
Galina V. Romanenko, Igor V. Frolenkov, “On the solvability of a system of two multidimensional loaded parabolic equations with the Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 364–373
Ekaterina N. Kriger, Igor V. Frolenkov, “An identification problem of nonlinear lowest term coefficient in the special form for two-dimensional semilinear parabolic equation”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 180–191
E. N. Kriger, I. V. Frolenkov, “An identification problem of coefficient in the special form at nonlinear lowest term for two-dimensional semilinear parabolic equation with the Cauchy data”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 5, 22–37; Russian Math. (Iz. VUZ), 59:5 (2015), 17–31
Igor V. Frolenkov, Maria A. Darzhaa, “On the existence of solution of some problems for nonlinear loaded parabolic equations with Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 7:2 (2014), 173–185
I. V. Frolenkov, G. V. Romanenko, “On the solvability of special systems of one-dimensional loaded parabolic equations and composite-type systems with Cauchy data”, Sib. Zh. Ind. Mat., 17:1 (2014), 135–148; J. Appl. Industr. Math., 8:2 (2014), 196–207
Igor V. Frolenkov, Ekaterina N. Kriger, “An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 6:2 (2013), 186–199
I. V. Frolenkov, E. N. Kriger, “An existence of the solution for identification problem of coefficient in special form at source function”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013), 120–134; J. Math. Sci., 203:4 (2014), 464–477
2012
13.
Igor V. Frolenkov, Galina V. Romanenko, “An representation of the solution of the inverse problem for a multidimensional parabolic equation with initial data in the form of a product”, J. Sib. Fed. Univ. Math. Phys., 5:1 (2012), 122–131
I. V. Frolenkov, G. V. Romanenko, “On the solution of an inverse problem for a multidimensional parabolic equation”, Sib. Zh. Ind. Mat., 15:2 (2012), 139–146
Igor V. Frolenkov, Ekaterina N. Kriger, “An identification problem of the source function of the special form in two-dimensional parabolic equation”, J. Sib. Fed. Univ. Math. Phys., 3:4 (2010), 556–564
O. A. Afinogenova, Yu. Ya. Belov, I. V. Frolenkov, “Stabilization of the solution to the identification problem of the source function for a one-dimensional parabolic equation”, Dokl. Akad. Nauk, 424:4 (2009), 439–441; Dokl. Math., 79:1 (2009), 70–72
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