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doc. Mgr.
Ph.D.
FME, IM DMA – Associate professor
+420 54114 2721oplustil@fme.vutbr.cz
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2024
OPLUŠTIL, Z. ON NON-OSCILLATION FOR TWO DIMENSIONAL SYSTEMS OF NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS. Miskolc Mathematical Notes, 2024, vol. 25, iss. 2, p. 943-954. ISSN: 1787-2413.
WoS Article
OPLUŠTIL, Z. Oscillation criteria for the second-order linear advanced differential equation. Applied Mathematics Letters, 2024, vol. 157, iss. 157, p. 1-5. ISSN: 0893-9659.
2018
OPLUŠTIL, Z. Oscillatory properties of certain system of non-linear ordinary differential equations. Miskolc Mathematical Notes, 2018, vol. 19, iss. 1, p. 439-459. ISSN: 1787-2413.
OPLUŠTIL, Z. On a Nonlocal Boundary Value Problem for First Order Nonlinear Functional Differential Equations. In DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS. Springer Proceedings in Mathematics & Statistics. NEW YORK: SPRINGER, 2018. iss. 230, p. 359-371. ISBN: 978-3-319-75646-2. ISSN: 2194-1009.
Paper in proceedings (conference paper)
2017
OPLUŠTIL, Z. On non-oscillation for certain system of non-linear ordinary differential equations. Georgian Mathematical Journal, 2017, vol. 24, iss. 2, p. 277-286. ISSN: 1072-947X.
OPLUŠTIL, Z. On the solvability of a nonlocal boundary valuproblem for the first order nonlinear functional differential equations. Memoirs on Differential Equations and Mathematical Physics, 2017, vol. 2017, iss. 72, p. 91-101. ISSN: 1512-0015.
2016
OPLUŠTIL, Z. Oscillation criteria for two-dimensional system of non-linear ordinary differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2016, vol. 2009, iss. 36, p. 1-17. ISSN: 1417-3875.
2015
LOMTATIDZE, A.; OPLUŠTIL, Z. Well-posedness of the second-order linear singular Dirichlet problem. Georgian Mathematical Journal, 2015, vol. 2015 (22), iss. 3, p. 409-419. ISSN: 1072-947X.
OPLUŠTIL, Z.; ŠREMR, J. Myshkis type oscillation criteria for second-order linear delay differential equations. MONATSHEFTE FUR MATHEMATIK, 2015, vol. 2015 (1), iss. 1, p. 143-161. ISSN: 0026-9255.
2014
LOMTATIDZE, A.; OPLUŠTIL, Z. Fredholm alternative for the second-order singular Dirichlet problem. Boundary Value Problems, 2014, vol. 2014, iss. 13, p. 1-13. ISSN: 1687-2770.
LOMTATIDZE, A.; OPLUŠTIL, Z. Fredholm's third theorem for second order singular Dirichlet problem. Boundary Value Problems, 2014, vol. 2014, iss. 13, p. 1-11. ISSN: 1687-2770.
OPLUŠTIL, Z. Some notes on oscillation of two-dimensional system of difference equations. Mathematica Bohemica, 2014, vol. 139, iss. 2, p. 417-428. ISSN: 0862-7959.
Scopus Article
2013
OPLUŠTIL, Z.; ŠREMR, J. On oscillations of solutions to second-order linear delay differential equations. Georgian Mathematical Journal, 2013, vol. 2013 (20), iss. 1, p. 65-94. ISSN: 1072-947X.
Peer-reviewed article not indexed in WoS or Scopus
OPLUŠTIL, Z. Solvability of a nonlocal boundary value problem for linear functional differential equations. Advances in Difference Equations, 2013, vol. 2013, iss. 1, p. 1-19. ISSN: 1687-1847.
2011
OPLUŠTIL, Z. Oscillatory criteria for two-dimensional system of difference equations. Tatra Mountains Mathematical Publications, 2011, vol. 48, iss. 7, p. 153-163. ISSN: 1210-3195.
OPLUŠTIL, Z.; ŠREMR, J. Some oscillation criteria for the second-order linear delay differential equation. Mathematica Bohemica, 2011, vol. 136, iss. 2, p. 195-204. ISSN: 0862-7959.
2009
OPLUŠTIL, Z.; LOMTATIDZE, A.; ŠREMR, J. Solvability conditions for a nonlocal boundary value problem for linear functional differential equations. Fasciculi Mathematici, 2009, vol. 2009, iss. 41, p. 81-96. ISSN: 0044-4413.
OPLUŠTIL, Z.; LOMTATIDZE, A.; ŠREMR, J. Nonpositive solutions of one functional differential inequality. Nonlinear Oscillations, 2009, vol. 2009 (12), iss. 4, p. 474-509. ISSN: 1536-0059.
OPLUŠTIL, Z.; ŠREMR, J. On a non-local boundary value problem for linear functional differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2009, vol. 2009, iss. 36, p. 1-13. ISSN: 1417-3875.
OPLUŠTIL, Z. Solvability of a linear non-local boundary value problem for nonlinear functional differential equations. Tatra Mountains Mathematical Publications, 2009, vol. 43, iss. 1, p. 189-201. ISSN: 1210-3195.
OPLUŠTIL, Z. On constant sign solutions (nonpositive) of certain functional differential inequality. AIP conference proceedings, 2009, vol. 2009, iss. 1124, p. 274-283. ISSN: 0094-243X.
2008
OPLUŠTIL, Z. New solvability conditions for a non-local boundary value problem for nonlinear functional differential equations. Nonlinear Oscillations, 2008, vol. 2008 (11), iss. 3, p. 384-406. ISSN: 1536-0059.
2007
OPLUŠTIL, Z. On compositions of fractional derivatives. In 5. Konference o matematice a fyzice na vysokých školách technických. Brno: Univerzita obrany Brno, 2007. p. 231-240. ISBN: 978-80-7231-274-0.
OPLUŠTIL, Z.; LOMTATIDZE, A.; ŠREMR, J. On a nonlocal boundary value problem for first order linear functional differential equations. Memoirs on Differential Equations and Mathematical Physics, 2007, vol. 2007, iss. 41, p. 69-85. ISSN: 1512-0015.
2006
OPLUŠTIL, Z. O nelokální okrajové úloze pro lineární funkcionální diferenciální rovnici prvního řádu. In Sborník z 15. semináře Moderní metody matematického inženýrství. OSTRAVA: VŠB - TECHNICKÁ UNIVERZITA OSTRAVA, 2006. s. 1-175. ISBN: 80-248-1224-X.
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, vol. 2003, iss. 16, p. 1-21. ISSN: 1417-3875.
OPLUŠTIL, Z.; POSPÍŠIL, Z. An Oscillation Criterion for a Dynamic Sturm-Liouville Equation. In PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS. Boca Raton-London-New York-WashingtonDC: CRC Press, Boca Raton, Florida, USA, 2004. p. 317-324. ISBN: 0-415-31675-8.
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