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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
N. S. Dairbekov, O. M. Penkin, D. Savasteev, “Harnack's inequality for harmonic functions on stratified sets”, Sibirsk. Mat. Zh., 64:5 (2023), 971–981 |
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2018 |
2. |
N. S. Dairbekov, O. M. Penkin, L. O. Sarybekova, “An analog of the Sobolev inequality on a stratified set”, Algebra i Analiz, 30:5 (2018), 149–158 ; St. Petersburg Math. J., 30:5 (2019), 869–875 |
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3. |
N. S. Dairbekov, O. M. Penkin, L. O. Sarybekova, “The Poincaré inequality and $p$-connectedness of a stratified set”, Sibirsk. Mat. Zh., 59:6 (2018), 1291–1302 ; Siberian Math. J., 59:6 (2018), 1024–1033 |
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2016 |
4. |
A. T. Diab, B. K. Kaldybekova, O. M. Penkin, “On the Multiplicity of Eigenvalues of the Sturm–Liouville Problem on Graphs”, Mat. Zametki, 99:4 (2016), 489–501 ; Math. Notes, 99:4 (2016), 492–502 |
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2014 |
5. |
A. T. Diab, P. A. Kuleshov, O. M. Penkin, “Estimate of the First Eigenvalue of the Laplacian on a Graph”, Mat. Zametki, 96:6 (2014), 885–895 ; Math. Notes, 96:6 (2014), 948–956 |
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6. |
S. N. Oshchepkova, O. M. Penkin, D. Savasteev, “The Normal Derivative Lemma for the Laplacian on a Polyhedral Set”, Mat. Zametki, 96:1 (2014), 116–125 ; Math. Notes, 96:1 (2014), 122–129 |
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2012 |
7. |
S. N. Oshchepkova, O. M. Penkin, D. Savasteev, “Strong Maximum Principle for an Elliptic Operator on a Stratified Set”, Mat. Zametki, 92:2 (2012), 276–290 ; Math. Notes, 92:2 (2012), 249–259 |
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2007 |
8. |
S. N. Oshchepkova, O. M. Penkin, “The Mean-Value Theorem for Elliptic Operators on Stratified Sets”, Mat. Zametki, 81:3 (2007), 417–426 ; Math. Notes, 81:3 (2007), 365–372 |
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2004 |
9. |
V. V. Kulyaba, O. M. Penkin, “Strong Stratified Sets and the Friedrichs Inequality”, Differ. Uravn., 40:1 (2004), 69–76 ; Differ. Equ., 40:1 (2004), 75–82 |
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2003 |
10. |
E. M. Bogatov, O. M. Penkin, “The Fourier method in the Cauchy problem for a fourth-order equation on stratified sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 8, 67–71 ; Russian Math. (Iz. VUZ), 47:8 (2003), 65–69 |
11. |
V. V. Kulyaba, O. M. Penkin, “The Maximum Principle for Parabolic Inequalities on Stratified Sets”, Mat. Zametki, 73:2 (2003), 244–257 ; Math. Notes, 73:2 (2003), 228–239 |
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2000 |
12. |
A. A. Gavrilov, O. M. Penkin, “An analog of the lemma on the normal derivative for an elliptic equation on a stratified set”, Differ. Uravn., 36:2 (2000), 226–232 ; Differ. Equ., 36:2 (2000), 255–261 |
4
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13. |
A. W. Komarov, O. M. Penkin, Yu. V. Pokornyi, “On the spectrum of a uniform network of strings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 4, 23–27 ; Russian Math. (Iz. VUZ), 44:4 (2000), 21–25 |
4
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14. |
O. M. Penkin, E. M. Bogatov, “Weak Solvability of the Dirichlet Problem on Stratified Sets”, Mat. Zametki, 68:6 (2000), 874–886 ; Math. Notes, 68:6 (2000), 740–750 |
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1998 |
15. |
O. M. Penkin, “On the maximum principle for an elliptic equation on stratified sets”, Differ. Uravn., 34:10 (1998), 1433–1434 ; Differ. Equ., 34:10 (1998), 1437–1439 |
2
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16. |
O. M. Penkin, E. M. Bogatov, Yu. M. Kashkarov, “On the solvability of elliptic boundary value problems on stratified sets”, Differ. Uravn., 34:9 (1998), 1289–1290 ; Differ. Equ., 34:9 (1998), 1291–1293 |
1
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17. |
O. M. Penkin, Yu. V. Pokorny, “On incompatible inequalities for elliptic equations on stratified sets”, Differ. Uravn., 34:8 (1998), 1107–1113 ; Differ. Equ., 34:8 (1998), 1111–1117 |
6
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18. |
Yu. V. Pokorny, O. M. Penkin, V. L. Pryadiev, “A nonlinear boundary value problem on a graph”, Differ. Uravn., 34:5 (1998), 629–637 ; Differ. Equ., 34:5 (1998), 631–638 |
1
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1997 |
19. |
O. M. Penkin, “On the maximum principle for an elliptic equation on a
two-dimensional cellular complex”, Dokl. Akad. Nauk, 352:4 (1997), 462–465 |
4
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20. |
O. M. Penkin, “On the weak maximum principle for an elliptic equation on a two-dimensional cellular complex”, Differ. Uravn., 33:10 (1997), 1404–1409 ; Differ. Equ., 33:10 (1997), 1410–1414 |
1
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1996 |
21. |
O. M. Penkin, Yu. V. Pokornyi, “On some qualitative properties of equations on a one-dimensional cell complex”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 11, 57–64 ; Russian Math. (Iz. VUZ), 40:11 (1996), 54–61 |
2
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22. |
O. M. Penkin, Yu. V. Pokornyi, “On some qualitative properties of equations on a one-dimensional $CW$-complex”, Mat. Zametki, 59:5 (1996), 777–780 ; Math. Notes, 59:5 (1996), 562–565 |
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1989 |
23. |
Yu. V. Pokorny, O. M. Penkin, “Sturm theorems for equations on graphs”, Dokl. Akad. Nauk SSSR, 309:6 (1989), 1306–1308 ; Dokl. Math., 40:3 (1990), 640–642 |
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24. |
Yu. V. Pokornyi, O. M. Penkin, “Comparison theorems for equations on graphs”, Differ. Uravn., 25:7 (1989), 1141–1150 ; Differ. Equ., 25:7 (1989), 802–809 |
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1988 |
25. |
O. M. Penkin, Yu. V. Pokornyi, “On a boundary value problem on a graph”, Differ. Uravn., 24:4 (1988), 701–703 |
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