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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
F. E. Lomovtsev, “Generalized Riemann formulas for the solution of the first mixed problem for the general telegraph equation with variable coefficients in the first quadrant”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232 (2024), 50–69  |
| 2. |
F. E. Lomovtsev, E. V. Ustilko, “Mixed problem for the two-velocity wave equation with characteristic oblique derivative at the ednpoint of a semibounded string”, Mat. Zametki, 116:3 (2024), 411–429 ; Math. Notes, 116:3 (2024), 498–513 |
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2023 |
| 3. |
F. E. Lomovtsev, “Local classical solutions to the general inhomogeneous wave equation in a curvilinear first quarter of the plane”, Applied Mathematics & Physics, 55:2 (2023), 132 |
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2022 |
| 4. |
F. E. Lomovtsev, “Global correctness theorem to the first mixed problem for the general telegraph equation with variable coefficients on a segment”, PFMT, 2022, no. 1(50), 62–73 |
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2021 |
| 5. |
F. E. Lomovtsev, “The first mixed problem for the general telegraph equation with variable coefficients on the half-line”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2021), 18–38 |
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| 6. |
F. E. Lomovtsev, K. A. Spesivtseva, “Mixed Problem for a General 1D Wave Equation with Characteristic Second Derivatives in a Nonstationary Boundary Mode”, Mat. Zametki, 110:3 (2021), 345–357  ; Math. Notes, 110:3 (2021), 329–338   |
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2020 |
| 7. |
E. V. Ustilko, F. E. Lomovtsev, “Matching conditions for values of characteristic oblique derivative at the end of a string, initial data and right-hand side of the wave equation”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2020), 30–37 |
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2017 |
| 8. |
F. E. Lomovtsev, “Correction method of test solutions of the general wave equation in the first quarter of the plane for minimal smoothness of its right-hand side”, Journal of the Belarusian State University. Mathematics and Informatics, 3 (2017), 38–52 |
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| 9. |
F. E. Lomovtsev, “Differentiation in the parameter of the strong extensionsfor variable linear unbounded operators with variable domains”, Tr. Inst. Mat., 25:2 (2017), 29–49 |
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2016 |
| 10. |
F. E. Lomovtsev, “Formula of energy parametric derivative for variable linear unbounded operators with variable domains”, Tr. Inst. Mat., 24:1 (2016), 75–94 |
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2013 |
| 11. |
F. E. Lomovtsev, D. A. Lyakhov, “Weak solutions of hyperbolic even-order operator-differential equations with variable domains”, PFMT, 2013, no. 1(14), 67–73 |
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2006 |
| 12. |
F. E. Lomovtsev, “A generalization of the Lions theory for first-order evolution differential equations with smooth operator coefficients: II”, Differ. Uravn., 42:6 (2006), 820–826  ; Differ. Equ., 42:6 (2006), 874–881 |
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| 13. |
F. E. Lomovtsev, “A generalization of Lions' theory to first-order evolution differential equations with smooth operator coefficients: I”, Differ. Uravn., 42:5 (2006), 630–640 ; Differ. Equ., 42:5 (2006), 672–683 |
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2005 |
| 14. |
F. E. Lomovtsev, “On a Stable Approximation to Boundary Value Problems for Evolution Operator-Differential Equations with Variable Domains”, Differ. Uravn., 41:5 (2005), 686–696 ; Differ. Equ., 41:5 (2005), 721–732 |
| 15. |
F. E. Lomovtsev, “Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: II”, Differ. Uravn., 41:4 (2005), 527–537 ; Differ. Equ., 41:4 (2005), 557–569 |
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| 16. |
F. E. Lomovtsev, “Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: I”, Differ. Uravn., 41:2 (2005), 258–267 ; Differ. Equ., 41:2 (2005), 272–283 |
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2001 |
| 17. |
F. E. Lomovtsev, “Smoothness of Strong Solutions of Complete Hyperbolic Second-Order Differential Equations with Variable Domains of Operator Coefficients”, Differ. Uravn., 37:2 (2001), 276–278 ; Differ. Equ., 37:2 (2001), 301–304 |
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2000 |
| 18. |
F. E. Lomovtsev, “The Cauchy problem for complete second-order hyperbolic differential equations with variable domains of operator coefficients”, Differ. Uravn., 36:4 (2000), 542–548 ; Differ. Equ., 36:4 (2000), 605–612 |
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1997 |
| 19. |
F. E. Lomovtsev, “Second-order hyperbolic differential equations with discontinuous operator coefficients”, Differ. Uravn., 33:10 (1997), 1394–1403 ; Differ. Equ., 33:10 (1997), 1400–1409 |
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1995 |
| 20. |
F. E. Lomovtsev, “Abstract evolution differential equations with discontinuous operator coefficients”, Differ. Uravn., 31:7 (1995), 1132–1141  ; Differ. Equ., 31:7 (1995), 1067–1076 |
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1994 |
| 21. |
F. E. Lomovtsev, “A boundary value problem for even-order differential equations whose operator coefficients have variable domains”, Differ. Uravn., 30:8 (1994), 1412–1425 ; Differ. Equ., 30:8 (1994), 1310–1322 |
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1992 |
| 22. |
F. E. Lomovtsev, “Necessary and sufficient conditions for the unique solvability of the Cauchy problem for second-order hyperbolic differential equations with a variable domain of operator coefficients”, Differ. Uravn., 28:5 (1992), 873–886 ; Differ. Equ., 28:5 (1992), 712–722 |
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1991 |
| 23. |
F. E. Lomovtsev, N. J. Yurchuk, “Boundary value problems for operator-differential equations with a variable domain of the operator coefficients”, Differ. Uravn., 27:10 (1991), 1754–1766 ; Differ. Equ., 27:10 (1991), 1242–1251 |
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1981 |
| 24. |
F. E. Lomovtsev, “Boundary value problems for differential operator equations of uneven order”, Differ. Uravn., 17:6 (1981), 973–983 |
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1980 |
| 25. |
F. E. Lomovtsev, “Solvability of boundary value problems for certain differential-operator equations of even order”, Differ. Uravn., 16:9 (1980), 1581–1586 |
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1979 |
| 26. |
F. E. Lomovtsev, “A priori estimates of solutions of boundary value problems for some differential-operator equations of even order”, Differ. Uravn., 15:6 (1979), 991–999 |
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1976 |
| 27. |
F. E. Lomovtsev, N. J. Yurchuk, “The Cauchy problem for second order hyperbolic operator differential equations”, Differ. Uravn., 12:12 (1976), 2242–2250 |
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