Publications

  1. L.V. Fardigola, Transformation operators and modified Sobolev spaces in controllability problems on a half axis, Zh. Mat. Fiz. Anal. Geom. 12 (2016), 17–47.
  2. L.V. Fardigola, Transformation operators in controllability problems for the wave equations with variable coefficients on a half axis controlled by the Dirichlet boundary condition, Math. Control Relat. Fields 5 (2015), 31–53.
  3. L.V. Fardigola, Modified Sobolev spaces in controllability problems for the wave equation on a half-plane, Zh. Mat. Fiz. Anal. Geom.. 11 (2015), 18–24.
  4. L.V. Fardigola, Controlllability problems for the wave equation on a half-plane and modified Sobolev spaces, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki (2015), No. 9, 18–24 (Ukrainian).
  5. L.V. Fardigola, Transformation operators of the Sturm-Liouville problem in controllability problems for the wave equation on ahalf-axis, SIAM J. Control Optim. 51 (2013), 1781–1801.
  6. L.V. Fardigola, Controllability problems for the 1-d wave equations on a half axis with Neumann boundary control, Math. Control Relat. Fields 3 (2013), 161–183.
  7. L.V. Fardigola, Controllability problems for the 1-d wave equations on a half axis with the Dirichlet boundary control, ESAIM Control Optim. Calc. Var. 18 (2012), 748–773.
  8. L.V. Fardigola, Neumann boundary control problem for the string equation on a half-axis, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki (2009), No. 10, 36–41 (Ukrainian).
  9. L.V. Fardigola, The Fourier transform method in controllability problems for the finite string equation with a boundary control bounded by a hard constant, Further Progress in Analysis. Proceedings of the 6th International ISAAC Congress.-Ankara, Turkey, 13–18 August 2009, World Sci. Publ., Hackensack, NJ, 2009, 337–346.
  10. L.V. Fardigola, Controllability Problems for the String Equation on a Half-Axis with a Boundary Control Bounded by a Hard Constant, SIAM J. Control Optim. 47 (2008), No. 4, 2179–2199.
  11. L.V. Fardigola, K.S. Khalina, Controllability problems for the string equation, Ukrain. Mat. Zh., 2007, Vol. 59, No. 7, 939-952 (Ukrainian); Engl. translations in Ukrainian Math. J. 59 (2007), No. 7, 1040–1058.
  12. L.V. Fardigola, On controllability problems for the wave equation on a half-plane, Zh. Mat. Fiz. Anal. Geom. 1 (2005), No. 1, 93–115.
  13. L.V. Fardigola and M.V. Lobanova, On stabilizability of evolution partial differential equations on Rnx[0, +∞) by time-delayed feedback controls, Mat. Fiz. Anal. Geom. 10 (2003), No. 2, 188–204.
  14. L.V. Fardigola, On stabilizability of evolution systems of partial differential equations on Rnx[0, +∞) by time-delayed feedback control, Cent Eur. J. Math. 1 (2003), No. 2, 141–155.
  15. G.M.Sklyar and L.V.Fardigola, The Markov power moment problem in problems of controllability and frequency extinguishing for the wave equation on a half-axis, J. Math. Anal. Appl. 276 (2002), No. 1, 109–134.
  16. G.M. Sklyar and L.V. Fardigola, The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis, Mat. Fiz. Anal. Geom. 9 (2002), No. 2, 233–242.
  17. L.V. Fardigola and Yu.V. Sheveleva, On stabilizability of evolution systems of partial differential equations on Rnx[0, +∞) by one-dimensional feedback controls, Ukrain. Mat. Zh. 54 (2002), No. 9, 1289–1296 (Ukrainian); Engl. translation in Ukrainian Math. J. 54 (2002), No. 9, 1556–1565.
  18. L.V. Fardigola, Criterion for stabilizability of partial differential equations with constant coefficients on the whole space, Differ. Uravn. 36 (2000), No. 12, 1699–1706 (Russian); Engl. translation in Differ. Equ. 36 (2000), No. 12, 1863–1871.
  19. L.V. Fardigola, On stabilizability of evolution systems of partial differential equations on Rnx[0, +∞) by feedback control, Visnyk Kharkiv. Nats. Univ. No. 475, Mat. Prikl. Mat. Mekh. (2000), 183–194.
  20. L.V.Fardigola, On a non-local two-point boundary-value problem in a layer for the equation with variable coefficients, Sibirsk. Mat. Zh. 38 (1997), No. 2, 424–438 (Russian); Engl. translation in Siberian Math. J. 38 (1997), No. 2, 367–379.
  21. L.V. Fardigola, An integral boundary-value problem in a layer for a system of linear partial differential equations, Mat. Sb. 186 (1995), No. 11, 123–144 (Russian); Engl. translation in Sb. Math. 186 (1995), No. 11, 1671–1692.
  22. L.V. Fardigola, Non-local two-point boundary-value problems in a layer with differential operators in the boundary condition, Ukrain. Mat. Zh. 47 (1995), No. 8, 1128–1134 (Russian); Engl. translation in Ukrainian Math. J. 47 (1995), No. 8, 1283–1289.
  23. L.V. Fardigola, A non-local boundary-value problem in a layer for an evolution equation that has a second order with respect to time variable, Differ. Uravn. 31 (1995), No. 4, 662–671 (Russian); Engl. thranslation in Differ. Equ. 31 (1995), No. 4, 614–623.
  24. L.V. Fardigola, The influence of the parameters on the properties of solutions of integral boundary-value problems in a layer, Izv. Vyssh. Uchebn. Zaved. Mat. (1993), No. 7, 51–58 (Russian); Engl. translation in Russian Math. 37 (1993), No. 7, 50–57.
  25. L.V. Fardigola, An integral boundary-value problem in a layer, Mat. Zametki 53 (1993), No. 6, 122–129 (Russian); Engl. translation in Math. Notes 53 (1993), No. 6, 644–649.
  26. L.V. Fardigola, Well-posed problems with differential operators in the boundary condition in a layer, Ukrain. Mat. Zh. 44 (1992), No. 8, 1083–1090 (Russian); Engl. translation in Ukrainian Math. J. 44 (1992), No. 8, 983–989.
  27. L.V.Fardigola, A criterion for strong well-posedness of a non-local two-point boundary-value problem in a layer, Izv. Vyssh. Uchebn. Zaved. Mat. (1992), No. 1, 84–88 (Russian); Engl. translation in Russsan Math. 36 (1992), No. 1, 82–86.
  28. L.V. Fardigola, A non-local boundary value problems in a layer: the influence of the parameters on the properties of solutions, Differ. Uravnen., 1991, Vol. 27, No. 12, 2151–2161 (Russian); Engl. translation in Differ. Equ. 27 (1991), No. 12, 1540–1549.
  29. L.V. Fardigola, T-stability property for an integral boundary-value problem in a layer, Teor. Funktsii Funktsional Anal. i Prilozhen. (1991), No. 55, 78–80 (Russian); Engl. translations in J. Soviet Math. 59 (1992), No. 1, 638–639.
  30. L.V. Fardigola, A criterion for well-posedness  of a boundary-value problem with an integral condition in a layer, Ukrain. Mat. Zh. 42 (1990), No.11, 1546–1551 (Russian); Engl. translation in Ukrainian Math. J. 42 (1990), No.11, 1388–1394.
  31. V.M. Borok and L.V. Fardigola,Non-local well-posed boundary-value problems in a layer, Mat. Zametki 48 (1990), No. 1, 20–25 (Russian); Engl. translation in Math. Notes 48 (1990), No. 1, 635–639.
  32. L.V.Fardigola, A criterion for well-posedness of a boundary-value problem in a layer for first- and second-order equations, Vestnik Khar'kov. Univ. No. 334, Dinam. Sistemy (1989), 55–65 (Russian).