I. M. Petrushko, T. V. Kapitsyna, M. I. Petrushko, “On the first mixed problem for degenerate parabolic equations in stellar domains with Lyapunov boundary in Banach spaces”, Mathematical notes of NEFU, 30:1 (2023), 21–39
2019
2.
I. M. Petrushko, “On the mixed problem $E$ for second-order parabolic equations degenerating on the boundary of a domain”, Mathematical notes of NEFU, 26:3 (2019), 57–70
2018
3.
I. M. Petrushko, M. I. Petrushko, “On the first mixed problem in banach spaces for the degenerate parabolic equations with changing time direction”, Mathematical notes of NEFU, 25:4 (2018), 45–59
2017
4.
I. M. Petrushko, “On the basics of common theory for coordination polyhedron composition (polyhedron fundamental equations)”, Mathematical notes of NEFU, 24:3 (2017), 3–11
2016
5.
I. M. Petrushko, M. I. Petrushko, “On the first problem for the degenerate parabolic equations with changing time direction”, Mathematical notes of NEFU, 23:1 (2016), 67–78
1999
6.
I. M. Petrushko, “Existence of boundary values for solutions of degenerate elliptic equations”, Mat. Sb., 190:7 (1999), 41–72; Sb. Math., 190:7 (1999), 973–1004
I. M. Petrushko, “Boundary values of solutions of second-order parabolic equations
that are degenerate on the boundary of the domain”, Dokl. Akad. Nauk SSSR, 316:3 (1991), 550–553; Dokl. Math., 43:1 (1991), 141–144
1988
8.
I. M. Petrushko, “On boundary values of solutions of elliptic equations degenerating on the boundary”, Mat. Sb. (N.S.), 136(178):2(6) (1988), 241–259; Math. USSR-Sb., 64:1 (1989), 243–262
I. M. Petrushko, “Boundary values of solutions of second-order elliptic equations
that are degenerate on the boundary of the domain”, Dokl. Akad. Nauk SSSR, 284:5 (1985), 1069–1073
1984
10.
I. M. Petrushko, “On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations”, Mat. Sb. (N.S.), 125(167):4(12) (1984), 489–521; Math. USSR-Sb., 53:2 (1986), 489–522
I. M. Petrushko, “On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary”, Mat. Sb. (N.S.), 120(162):4 (1983), 569–588; Math. USSR-Sb., 48:2 (1984), 565–585
I. M. Petrushko, “On boundary and initial values in $\mathcal{L}_p$, $p>1$, of solutions of second order parabolic equations”, Dokl. Akad. Nauk SSSR, 267:5 (1982), 1063–1066
13.
I. M. Petrushko, “On boundary and initial values of solutions of second order parabolic equations”, Dokl. Akad. Nauk SSSR, 266:3 (1982), 557–560
14.
I. M. Petrushko, “On boundary values of solutions of elliptic equations in domains with Lyapunov boundary”, Mat. Sb. (N.S.), 119(161):1(9) (1982), 48–77; Math. USSR-Sb., 47:1 (1984), 43–72
I. M. Petrushko, “On boundary values in $\mathcal{L}_p$ , $p>1$ of solutions of parabolic equations”, Dokl. Akad. Nauk SSSR, 251:5 (1980), 1067–1069
1979
16.
I. M. Petrushko, “On the first mixed problem for parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 248:2 (1979), 294–298
1978
17.
I. M. Petrushko, “On the boundary and initial values of solutions of parabolic equations”, Mat. Sb. (N.S.), 106(148):3(7) (1978), 409–439; Math. USSR-Sb., 35:1 (1979), 85–114
I. M. Petrushko, “On the boundary values of solutions of parabolic equations”, Mat. Sb. (N.S.), 103(145):3(7) (1977), 404–429; Math. USSR-Sb., 32:3 (1977), 347–370
I. M. Petrushko, “The Fredholmicity of certain boundary value problems for the equation $u_{xx}+yu_{yy}+\alpha(x,y)u_y+\beta(x,y)u_x+\gamma(x,y)u=f(x,y)$ in a mixed domain”, Differ. Uravn., 4:1 (1968), 123–135
20.
I. M. Petrushko, “Boundary value problems for equations of mixed type”, Trudy Mat. Inst. Steklov., 103 (1968), 181–200
1967
21.
I. M. Petrushko, “Nonuniqueness of the Cauchy problem for a parabolic equation”, Trudy Mat. Inst. Steklov., 91 (1967), 132–145; Proc. Steklov Inst. Math., 91 (1967), 137–152
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