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Vyhledávání Vyhledat Zavřít
prof.
DrSc.
FSI, ÚM OMA – profesor
+420 54114 2528lomtatidze@fme.vutbr.cz
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2022
DOLNÍK, M.; LOMTATIDZE, A. On periodic boundary value problem for certain planar system of nonlinear ordinary differential equations. Journal of Mathematical Analysis and Application, 2022, roč. 515, č. 1, s. 1-24. ISSN: 0022-247X.Detail | WWW
2021
LOMTATIDZE, A.; ŠREMR, J. On positive periodic solutions to second-order differential equations with a sub-linear non-linearity. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, roč. 2021, č. 57, s. 1-24. ISSN: 1468-1218.Detail | WWW
2020
LOMTATIDZE, A. On periodic boundary value problem for second-order ordinary differential equations. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, roč. 22, č. 6, s. 1-33. ISSN: 0219-1997.Detail | WWW
2019
DOLNÍK, M.; LOMTATIDZE, A. On periodic boundary value problem for certain planar system of nonlinear ordinary differential equations. International Workshopon the Qualitative Theory of Differential Equations. 2019. s. 47-50. ISSN: 1512-3391.Detail
2018
LOMTATIDZE, A.; ŠREMR, J. On periodic solutions to second-order Duffing type equations. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, roč. 2018, č. 40, s. 215-242. ISSN: 1468-1218.Detail | WWW
LOMTATIDZE, A.; DOSOUDILOVÁ, M. Remark on periodic boundary-value problem for second-order linear ordinary differential equations. Electronic Journal of Differential Equations, 2018, roč. 2018, č. 13, s. 1-7. ISSN: 1072-6691.Detail | WWW
2017
LOMTATIDZE, A. On periodic bounded and unbounded solutions of second order nonlinear ordinary differential equations. Georgian Mathematical Journal, 2017, roč. 2017, č. 24, s. 241-263. ISSN: 1072-947X.Detail | WWW
2016
LOMTATIDZE, A. Theorems on Differential Inequalities and Periodic Boundary Value Problem for Second- Order Ordinary Differential Equations. Memoirs Diff. Equat. Math. Phys, 2016, roč. 67, č. 1, s. 1-129. ISSN: 1512-0015.Detail | WWW
LOMTATIDZE, A.; DOSOUDILOVÁ, M. Remark on zeros of solutions of second-order linear ordinary differential equations. Georgian Mathematical Journal (on-line), 2016, roč. 23, č. 4, s. 1-7. ISSN: 1572-9176.Detail | WWW
2015
LOMTATIDZE, A., DOSOUDILOVA, M., SREMR, J. Oscillatory properties of solutions to certain two-dimensional systems of non-linear ordinary differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2015, roč. 2015(120), č. 1, s. 57-75. ISSN: 0362-546X.Detail | WWW
LOMTATIDZE, A.; OPLUŠTIL, Z. Well-posedness of the second-order linear singular Dirichlet problem. Georgian Mathematical Journal, 2015, roč. 2015 (22), č. 3, s. 409-419. ISSN: 1072-947X.Detail | WWW
2014
LOMTATIDZE, A.; OPLUŠTIL, Z. Fredholm alternative for the second-order singular Dirichlet problem. Boundary Value Problems, 2014, roč. 2014, č. 13, s. 1-13. ISSN: 1687-2770.Detail | WWW | Plný text v Digitální knihovně
LOMTATIDZE, A.; OPLUŠTIL, Z. Fredholm's third theorem for second order singular Dirichlet problem. Boundary Value Problems, 2014, roč. 2014, č. 13, s. 1-11. ISSN: 1687-2770.Detail | WWW | Plný text v Digitální knihovně
2013
LOMTATIDZE, A.; HAKL, R.; IOANNIS, S. Bounded Solutions to the First Order Scalar Functional Differential Equations. Memoirs Diff. Equat. Math. Phys, 2013, roč. 2013, č. 59, s. 1-104. ISSN: 1512- 0015.Detail
LOMTATIDZE, A.; ŠREMR, J. On oscillation and nonoscillation of two- dimensional linear differential systems. Georgian Mathematical Journal, 2013, roč. 2013, č. 3, s. 573-600. ISSN: 1072- 947X.Detail
2009
OPLUŠTIL, Z.; LOMTATIDZE, A.; ŠREMR, J. Solvability conditions for a nonlocal boundary value problem for linear functional differential equations. Fasciculi Mathematici, 2009, roč. 2009, č. 41, s. 81-96. ISSN: 0044- 4413.Detail
OPLUŠTIL, Z.; LOMTATIDZE, A.; ŠREMR, J. Nonpositive solutions of one functional differential inequality. Nonlinear Oscillations, 2009, roč. 2009 (12), č. 4, s. 474-509. ISSN: 1536- 0059.Detail
2007
OPLUŠTIL, Z.; LOMTATIDZE, A.; ŠREMR, J. On a nonlocal boundary value problem for first order linear functional differential equations. Memoirs Diff. Equat. Math. Phys, 2007, roč. 2007, č. 41, s. 69-85. ISSN: 1512- 0015.Detail
LOMTATIDZE, A.; TVRDY, M.; CABADA, A. Periodic problem involving quasilinear differential operator and weak singularity. ADVANCED NONLINEAR STUDIES, 2007, roč. 2007 (7), č. 4, s. 629-649. ISSN: 1536- 1365.Detail
LOMTATIDZE, A.; VODSTRČIL P. On solvability of a three- point boundary value problem for second order nonlinear functional differential equations. Memoirs Diff. Equat. Math. Phys, 2007, roč. 2007 (40), č. 3, s. 55-65. ISSN: 1512- 0015.Detail
2006
LOMTATIDZE, A.; DOŠLÝ, O. Oscillation and nonoscillation criteria for half- linear second order differential equations. HIROSHIMA MATH J, 2006, roč. 2006 (36), č. 2, s. 203-219. ISSN: 0018- 2079.Detail
2004
OPLUŠTIL, Z.; LOMTATIDZE, A. On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2004, roč. 2003, č. 16, s. 1-21. ISSN: 1417- 3875.Detail
2003
LOMTATIDZE, A.; HAKL, R.; PŮŽA, B. On a boundary value problem for first- order scalar functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2003, roč. 2003 (53), č. 3- 4, s. 391-405. ISSN: 0362- 546X.Detail
LOMTATIDZE, A.; MALAGUTI, L. On a two- point boundary value problem for second order ordinary differential equations with singularities. Nonlinear Analysis, Theory, Methods and Applications, 2003, roč. 2003 (52), s. 1553-1567. ISSN: 0362- 546X.Detail
2000
LOMTATIDZE, A.; MALAGUTI, L. On a nonlocal boundary value problem for second order singular equations. Georgian Mathematical Journal, 2000, roč. 2000 (7), č. 2, s. 133-157. ISSN: 1572- 9176.Detail
*) Citace publikací se generují jednou za 24 hodin.