Prof. Petr Hasil, Ph.D.

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Research papers

• Petr Hasil, Michal Pospíšil, Jiřina Šišoláková, Michal Veselý,
  Oscillation criterion for linear equations with coefficients containing powers of natural logarithm
  Mon.heft. Math. (2024), ISSN 0026-9255,
  vol. 203, pp. 91-109
  impact factor (2022): 0.9, doi: 10.1007/s00605-023-01910-6
• Petr Hasil, Michal Veselý,
  Oscillation criterion for Euler type half-linear difference equations
  Math. Meth. Appl. Sci. (2023), ISSN 0170-4214,
  in press
  impact factor (2022): 2.9, doi: 10.1002/mma.9814
• Petr Hasil, Michal Veselý,
  Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian
  Math. Nachr. (2023), ISSN 0025-584X,
  vol. 296, n. 7, pp. 2809-2837
  impact factor (2022): 1.0, doi: 10.1002/mana.202100169
• Petr Hasil, Michal Veselý,
  Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations
  Appl. Math. Lett. (2023), ISSN 0893-9659,
  vol. 141, n. 108632, pp. 1–8
  impact factor (2022): 3.7, doi: 10.1016/j.aml.2023.108632
• Petr Hasil, Michal Veselý
  Limit periodic perturbations of difference systems with coefficients from commutative groups
  J. Differ. Equ. Appl. (2023), ISSN 1023-6198,
  vol. 23, n. 1, pp. 43–66
  impact factor (2022): 1.1, doi: 10.1080/10236198.2022.2159818
• Petr Hasil, Michal Veselý
  Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm
  AIMS Math. (2022), ISSN 2473-6988,
  vol. 7, n. 6, pp. 10681–10699
  impact factor (2022): 2.2, doi: 10.3934/math.2022596
• Petr Hasil, Jiřina Šišoláková, Michal Veselý
  Oscillation of modified Euler type half-linear differential equations via averaging technique
  Electron. J. Differ. Equ. (2022), ISSN 1072-6691,
  vol. 2022, n. 41, pp. 1–16
  impact factor (2022): 0.7
• Petr Hasil, Michal Veselý
  Oscillation of linear and half-linear differential equations via generalized Riccati technique
  Rev. Mat. Complut. (2022), ISSN 1139-1138,
  vol. 35, n. 3, pp. 835–849
  impact factor (2022): 0.8, doi: 10.1007/s13163-021-00407-w
• Petr Hasil, Michal Pospíšil, Jiřina Šišoláková, Michal Veselý
  Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case
  Acta Math. Hung. (2022), ISSN 0236-5294,
  vol. 166, n. 2, pp. 624–649
  impact factor (2022): 0.9, doi: 10.1007/s10474-022-01218-1
• Petr Hasil, Michal Veselý,
  Riccati technique and oscillation of linear second-order difference equations
  Arch. Math. (2021), ISSN 0003-889X,
  vol. 117, n. 6, pp. 657–669
  impact factor (2021): 0.578, doi: 10.1007/s00013-021-01649-2
• Petr Hasil, Jozef Kisel'ák, Michal Pospíšil, Michal Veselý,
  Nonoscillation of half-linear dynamic equations on time scales
  Math. Meth. Appl. Sci. (2021), ISSN 0170-4214,
  vol. 44, n. 11, pp. 8775–8797
  impact factor (2021): 3.007, doi: 10.1002/mma.7304
• Petr Hasil, Michal Veselý,
  Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory
  Appl. Math. Lett. (2021), ISSN 0893-9659,
  vol. 117, n. 107118, pp. 1–7
  impact factor (2021): 4.294, doi: 10.1016/j.aml.2021.107118
• Petr Hasil, Michal Veselý,
  New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions
  J. Math. Anal. Appl. (2021), ISSN 0022-247X,
  vol. 494, n. 1, pp. 1–22
  impact factor (2021): 1.417, doi: 10.1016/j.jmaa.2020.124585
• Petr Hasil, Jaroslav Jaroš, Michal Veselý,
  Riccati technique and oscillation constant for modified Euler type half-linear equations
  Publ. Math.-Debr. (2020), ISSN 0033-3883,
  vol. 97, n. 1-2, pp. 117–147
  impact factor (2020): 0.636, doi: 10.5486/PMD.2020.8739
• Kōdai Fujimoto, Petr Hasil, Michal Veselý,
  Riccati transformation and non-oscillation criterion for linear difference equations
  Proc. Amer. Math. Soc. (2020), ISSN 0002-9939,
  vol. 148, n. 10, pp. 4319–4332
  impact factor (2020): 1.016, doi: 10.1090/proc/15072
• Petr Hasil, Michal Veselý,
  Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups
  Topol. Methods Nonlinear Anal. (2019), ISSN 1230-3429,
  vol. 54, n. 2A, pp. 515–535
  impact factor (2019): 0.682, doi: 10.12775/TMNA.2019.051
• Petr Hasil, Jakub Juránek, Michal Veselý,
  Non-Oscillation of half-linear difference equations with asymptotically periodic coefficients
  Acta Math. Hung. (2019), ISSN 0236-5294,
  vol. 159, n. 1, pp. 323-348
  impact factor (2019): 0.588, doi: 10.1007/s10474-019-00940-7
• Zuzana Došlá, Petr Hasil, Serena Matucci, Michal Veselý
  Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case
  J. Inequal. Appl. (2019), ISSN 1029-242X,
  vol. 2019, n. 189, pp. 1-30
  impact factor (2019): 1.470, doi: 10.1186/s13660-019-2137-0
• Petr Hasil, Michal Veselý,
  Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations
  Appl. Math. Comput. (2019), ISSN 0096-3003,
  vol. 361, pp. 788-809
  impact factor (2019): 3.472, doi: 10.1016/j.amc.2019.06.027
• Petr Hasil, Michal Veselý
  Prüfer angle and non-oscillation of linear equations with quasiperiodic data
  Monatsh. Math. (2019), ISSN 0026-9255,
  vol. 189, n. 1, pp. 101-124
  impact factor (2019): 0.933, doi: 10.1007/s00605-018-1232-5
• Petr Hasil, Jiřina Šišoláková, Michal Veselý
  Averaging technique and oscillation criterion for linear and half-linear equations
  Appl. Math. Lett. (2019), ISSN 0893-9659,
  vol. 92, pp. 62-69
  impact factor (2019): 3.848, doi: 10.1016/j.aml.2019.01.013
• Petr Hasil, Michal Veselý
  Oscillation result for half-linear dynamic equations on timescales and its consequences
  Math. Meth. Appl. Sci. (2019), ISSN 0170-4214,
  vol. 42, n. 6, pp. 1921-1940,
  impact factor (2019): 1.626, doi: 10.1002/mma.5485
• Petr Hasil, Michal Veselý
  Oscillation and non-oscillation results for solutions of perturbed half-linear equations
  Math. Meth. Appl. Sci. (2018), ISSN 0170-4214,
  vol. 41, n. 9, pp. 3246-3269,
  impact factor (2018): 1.533, doi: 10.1002/mma.4813
• Petr Hasil, Michal Veselý
  Oscillation and non-oscillation of half-linear differential equations with coeffcients determined by functions having mean values
  Open Math. (2018), ISSN 2391-5455,
  vol. 16, n. 1, pp. 507-521,
  impact factor (2018): 0.726, doi: 10.1515/math-2018-0047
• Petr Hasil, Michal Veselý
  Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients
  Electron. J. Diff. Equ. (2018), ISSN 1072-6691,
  vol. 2018, n. 24, pp. 1-22
  impact factor (2018): 0.690
• Petr Hasil, Jakub Juránek, Michal Veselý
  Adapted Riccati technique and non-oscillation of linear and half-linear equations
  Appl. Math. Lett. (2018), ISSN 0893-9659,
  vol. 82, pp. 98-105
  impact factor (2018): 3.487, doi: 10.1016/j.aml.2018.03.003
• Petr Hasil, Michal Veselý
  Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups
  J. Differ. Equ. Appl. (2017), ISSN 1023-6198,
  vol. 23, n. 8, pp. 1324-1353
  impact factor (2017): 0.625, doi: 10.1080/10236198.2017.1326912
• Petr Hasil, Michal Veselý
  Oscillation and non-oscillation criteria for linear and half-linear difference equations
  J. Math. Anal. Appl. (2017), ISSN 0022-247X,
  vol. 452, n. 1, pp. 401-428
  impact factor (2017): 1.138, doi: 10.1016/j.jmaa.2017.03.012
• Petr Hasil, Michal Veselý
  Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
  Electron. J. Qual. Theory Differ. Equ. (2016), ISSN 1417-3875,
  vol. 2016, n. 59, pp. 1-22
  impact factor (2016): 0.926, doi: 10.14232/ejqtde.2016.1.59
• Petr Hasil, Michal Veselý
  Non-oscillation of periodic half-linear equations in the critical case
  Electron. J. Diff. Equ. (2016), ISSN 1072-6691
  vol. 2016, n. 120, pp. 1-12,
  impact factor (2016): 0.954
• Michal Veselý, Petr Hasil
  Values of limit periodic sequences and functions
  Math. Slovaca (2016), ISSN 0139-9918
  vol. 66, n. 1, pp. 43-62,
  impact factor (2016): 0.346, doi: 10.1515/ms-2015-0114
• Petr Hasil, Michal Veselý
  Oscillation constant for modified Euler type half-linear equations
  Electron. J. Diff. Equ. (2015), ISSN 1072-6691
  vol. 2015, n. 220, pp. 1-14,
  impact factor (2015): 0.769
• Michal Veselý, Petr Hasil
  Oscillation constants for half-linear difference equations with coefficients having mean values
  Adv. Differ. Equ. (2015), ISSN 1687-1847
  vol. 2015, n. 210, pp. 1-18,
  impact factor (2015): 0.297, doi: 10.1186/s13662-015-0544-1
• Michal Veselý, Petr Hasil
  Limit periodic homogeneous linear difference systems
  Appl. Math. Comput.(2015), ISSN 0096-3003,
  vol. 265, pp. 958-972
  impact factor (2015): 1.345, doi: 10.1016/j.amc.2015.06.008
• Petr Hasil, Michal Veselý
  Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients
  Adv. Differ. Equ. (2015), ISSN 1687-1847,
  vol. 2015, n. 190, pp. 1-17,
  impact factor (2015): 0.297, doi: 10.1186/s13662-015-0533-4
• Petr Hasil, Jiří Vítovec
  Conditional oscillation of half-linear Euler-type dynamic equations on time scales
  Electron. J. Qual. Theory Differ. Equ. (2015), ISSN 1417-3875,
  vol. 2015, n. 6, pp. 1-24
  impact factor (2015): 0.732, doi: 10.14232/ejqtde.2015.1.6
• Michal Veselý, Petr Hasil
  Non-oscillation of half-linear differential equations with periodic coefficients
  Electron. J. Qual. Theory Differ. Equ. (2015), ISSN 1417-3875,
  vol. 2015, n. 1, pp. 1-21
  impact factor (2015): 0.732, doi: 10.14232/ejqtde.2015.1.1
• Petr Hasil, Michal Veselý
  Conditional oscillation of Riemann-Weber half-linear differential equations with asymptotically almost periodic coefficients
  Stud. Sci. Math. Hung. (2014), ISSN: 0081-6906, vol. 51, n. 3, pp. 303-321
  impact factor (2014): 0.205, doi: 10.1556/SScMath.51.2014.3.1283.
• Petr Hasil, Robert Mařík, Michal Veselý
  Conditional oscillation of half-linear differential equations with coefficients having mean values
  Abstract Appl. Anal. (2014), ISSN 1085-3375, vol. 2014, n. 258159, pp. 1-14
  impact factor (2013): 1.274, doi: 10.1155/2014/258159
• Petr Hasil, Michal Veselý
  Limit periodic linear difference systems with coefficient matrices from commutative groups
  Electron. J. Qual. Theory Differ. Equ. (2014), ISSN 1417-3875,
  vol. 2014, n. 23, pp. 1-25
  impact factor (2014): 0.817, doi: 10.14232/ejqtde.2014.1.23
• Michal Veselý, Petr Hasil
  Oscillation and non-oscillation of asymptotically almost periodic half-linear difference equations
  Abstract Appl. Anal. (2013), ISSN 1085-3375, vol. 2013, n. 432936, pp. 1-12
  impact factor (2013): 1.274, doi: 10.1155/2013/432936
• Petr Hasil, Michal Veselý
  Oscillation of half-linear differential equations with asymptotically almost periodic coefficients
  Adv. Differ. Equ. (2013), ISSN 1687-1847, vol. 2013, n. 122, pp. 1-15
  impact factor (2013): 0.634, doi:10.1186/1687-1847-2013-122
• Petr Hasil, Michal Veselý,
  Critical oscillation constant for difference equations with almost periodic coefficients
  Abstract Appl. Anal. (2012), ISSN 1085-3375, vol. 2012, n. 471435, pp. 1-19
  impact factor (2012): 1.102, doi: 10.1155/2012/471435
• Michal Veselý, Petr Hasil,
  Criticality of one term 2n-order self-adjoined differential equations
  Electron. J. Qual. Theory Differ. Equ. (2012), Proc. 9’th Coll. QTDE, ISSN 1417-3875, vol. 2012, n. 18, pp. 1-12
  impact factor (2012): 0.740, doi: 10.14232/ejqtde.2012.3.18
• Petr Hasil, Michal Veselý,
  Almost periodic transformable difference systems
  Appl. Math. Comput. (2012), ISSN 0096-3003, 2012, vol. 218, n. 9, pp. 5562-5579
  impact factor (2012): 1.349, doi: 10.1016/j.amc.2011.11.050
• Petr Zemánek, Petr Hasil,
  Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales
  Appl. Math. Comput. (2012), ISSN 0096-3003, vol. 218, n. 22, pp. 10829-10842
  impact factor (2012): 1.349, doi: 10.1016/j.amc.2012.04.027
• Petr Hasil,
  Conjugacy of self-adjoint difference equations of even order
  Abstract Appl. Anal. (2011), ISSN 1085-3375, vol. 2011, n. 814962, pp. 1-16
  impact factor (2011): 1.318, doi: 10.1155/2011/814962
• Petr Hasil,
  Criterion of p-criticality for one term 2n-order difference operators
  Arch. Math. (Brno) (2011), ISSN 0044-8753, vol. 47, n. 2, pp. 99-109
  Scopus, SciNet: MR2813536
• Ondřej Došlý, Petr Hasil,
  Critical higher order Sturm-Liouville difference operators
  J. Differ. Equ. Appl. (2011), ISSN 1023-6198, vol. 17, n. 9, pp. 1351-1363
  impact factor (2011): 0.800, doi: 10.1080/10236190903527251
• Ondřej Došlý, Petr Hasil,
  Critical oscillation constant for half-linear differential equations with periodic coefficients
  Ann. Mat. Pura Appl. (2011), ISSN 0373-3114, vol. 190, n. 3, pp. 395-408
  impact factor (2011): 0.838, doi: 10.1007/s10231-010-0155-0
• Petr Hasil, Petr Zemánek,
  Critical second order operators on time scales
  Discret. Contin. Dyn. Syst. (2011), ISSN 1078-0947, vol. Suppl. 2011, n. 1, pp. 653-659
  impact factor (2011): 0.913
• Ondřej Došlý, Petr Hasil,
  Friedrichs extension of operators defined by symmetric banded matrices
  Linear Alg. Appl. (2009), ISSN 0024-3795, vol. 430, n. 8-9, pp. 1966-1975
  impact factor (2009): 1.073, doi: 10.1016/j.laa.2008.11.005
• Petr Hasil,
  On positivity of the three term 2n-order difference operators
  Stud. Univ. Zilina - Math. Ser. (2009), ISSN 1336-149X vol. 23, n. 1, pp. 51-58
  SciNet: MR2741998
• Petr Hasil,
  Conditional oscillation of half-linear differential equations with periodic coefficients
  Arch. Math. (Brno) (2008), ISSN 0044-8753, vol. 44, n. 2, pp. 119-131
  Scopus, SciNet: MR2432849

Pedagogical publications

• Petr Hasil, Jiřina Šišoláková, Michal Veselý,
  Problems from mathematical analysis [in Czech]
  Masaryk University (2020), 236 p.
• Petr Hasil, Kamila Hasilová, Jiřina Šišoláková,
  Collection of examples about infinite series. [in Czech and English]
  Elportál (2020), ISSN 1802-128X, ISBN 978-80-280-0006-6
  English version
• Petr Hasil, Petr Zemánek
  A collection of solved examples from mathematical analysis II [in Czech]
  Masaryk University (2016), 465 p.
• Petr Hasil,
  Notes in mathematics [in Czech]
  Mendel University in Brno (2014), 187 p.
• Petr Zemánek, Petr Hasil,
  A collection of solved examples from mathematical analysis I. [in Czech]
  Elportál (2012), ISSN 1802-128X, 527 p., ISBN 978-80-210-5882-8

Conferences

• EQUADIFF 15, 2022 (Brno, Czech Republic)
  talk: Riccati technique and conditional oscillation of second order equations
• ICDDEA 2019: International Conference on Differential and Difference Equations Applications (Lisbon, Portugal)
  přednáška: Oscillation behaviour of linear and half-linear equations with non-periodic coefficients
• NAAT 2018: International Conference on Numerical Analysis and Approximation Theory (Cluj-Napoca, Romania)
  talk: Half-linear differential operators in oscillation theory
• ICDEA 2017: 23rd International Conference on Difference Equations and Applications (Timișoara, Romania)
  talk: Conditional oscillation of second order linear and half-linear difference and differential equations
• Equadiff 15, 2015 (Lyon, France)
  talk: Critical oscillation constants for half-linear differential and difference equations
• CDSDEA 2014: 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain)
  talk: Critical oscillation constant for half-linear differential equations with coefficients having mean values
• CDDEA 2014: Conference on Differential and Difference Equations and Applications (Jasná, Slovakia)
  talk: Oscillation constant for half-linear differential equations with coefficients having mean values
• Equadiff 13, 2013 (Praha, Czech Republic)
  talk: Oscillation constant for half-linear equations with asymptotically almost periodic coefficients
• ICDEA 2013: 19th International Conference on Difference Equations and Applications (Muscat, Sultanate of Oman)
  talk: Conditional oscillation of half-linear equations with asymptotically almost periodic coefficients
• CDDEA 2012: Conference on Differential and Difference Equations and Applications (Terchová, Slovakia)
  talk: Conditional oscillation of Euler-type difference equation with almost periodic coefficients
• ICDEA 2011: 17th International Conference on Difference Equations and Applications (Trois-Rivières, Canada)
  talk: Conjugacy criterion for self-adjoint difference equations
• ICDEA 2010: 16th International Conference on Difference Equations and Applications (Riga, Latvia)
  talk: Disconjugacy of critical difference operators
• ICDSDEA 2010: 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications (Dresden, Germany)
  talk: On criticality of higher order difference operators
• CDDEA 2010: Conference on Differential and Difference Equations and Applications (Rajecké Teplice, Slovakia)
  talk: Critical difference operators
• CDEIT 2010: Colloquium on Differential Equations and Integration Theory (Křtiny, Czech Republic)
  poster: Critical oscillation constant for half-linear differential equations with periodic coefficients
• ICDEA 2009: 15th International Conference on Difference Equations and Applications (Estoril, Portugal)
  talk: Critical higher order Sturm-Liouville difference operators
• Equadiff 12, 2009 (Brno, Czech Republic)
  talk: Critical higher order Sturm-Liouville difference operators
• CDDEA 2008: Conference on Differential and Difference Equations and Applications (Strečno, Slovakia)
  talk: Conditional oscillation of half-linear differential equations with periodic coefficients

Lectures at:
   Seminar on Differential Equations
   Department of Mathematics and Statistics, Faculty of Science, Masaryk University

• 13.9.2023
  Oscillation constants for difference and differential equations
• 25.4.2022
  Conditional oscillation of differential and difference equations
• 15.4.2019
  Difference equations and their oscillation constants
• 10.10.2016
  Conditional oscillation of differential equations
• 5.10.2015
  Oscillation constant for differential and difference equations
• 29.4.2013
  Oscillation of half-linear difference equations with asymptotically almost periodic coefficients
• 15.10.2012
  Conditional oscillation of Euler-type difference equation with almost periodic coefficients
• 22.11.2010
  Critical oscillation constant for half-linear differential equations with periodic coefficients
• 9.11.2009
  Conjugacy of Sturm-Liouville difference equations of higher order
• 3.11.2008
  Conditional oscillation of half-linear differential equations with periodic coefficients