Publication Records

HASIL, Petr and Michal VESELÝ. Oscillation criterion for Euler type half-linear difference equations. Mathematical Methods in the Applied Sciences. Wiley, 2024, vol. 47, No 6, p. 4283-4305. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.9814.

HASIL, Petr, Michal POSPÍŠIL, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation criterion for linear equations with coefficients containing powers of natural logarithm. Monatshefte für Mathematik. Wien: Springer-Verlag, 2024, vol. 203, No 1, p. 91-109. ISSN 0026-9255. Available from: https://dx.doi.org/10.1007/s00605-023-01910-6.

FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ. Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations. Bulletin of the Malaysian Mathematical Sciences Society. Springer, 2024, vol. 47, No 5, p. 1-19. ISSN 0126-6705. Available from: https://dx.doi.org/10.1007/s40840-024-01745-w.

HASIL, Petr and Michal VESELÝ. Limit periodic perturbations of difference systems with coefficients from commutative groups. Journal of Difference Equations and Applications. Taylor & Francis, 2023, vol. 29, No 1, p. 43-66. ISSN 1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2022.2159818.

HASIL, Petr and Michal VESELÝ. Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations. Applied Mathematics Letters. Elsevier, 2023, vol. 141, July 2023, p. 1-8. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2023.108632.

HASIL, Petr and Michal VESELÝ. Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian. Mathematische Nachrichten. Wiley-VCH Verlag GmbH, 2023, vol. 296, No 7, p. 2809-2837. ISSN 0025-584X. Available from: https://dx.doi.org/10.1002/mana.202100169.

HASIL, Petr and Michal VESELÝ. Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm. AIMS Mathematics. American Institute of Mathematical Sciences, 2022, vol. 7, No 6, p. 10681-10699. ISSN 2473-6988. Available from: https://dx.doi.org/10.3934/math.2022596.

HASIL, Petr, Michal POSPÍŠIL, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case. Acta Mathematica Hungarica. Springer, 2022, vol. 166, No 2, p. 624 - 649. ISSN 0236-5294. Available from: https://dx.doi.org/10.1007/s10474-022-01218-1.

HASIL, Petr and Michal VESELÝ. Oscillation of linear and half-linear differential equations via generalized Riccati technique. Revista Matemática Complutense. Springer-Verlag Italia s.r.l., 2022, vol. 35, No 3, p. 835-849. ISSN 1139-1138. Available from: https://dx.doi.org/10.1007/s13163-021-00407-w.

HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation of modified Euler type half-linear differential equations via averaging technique. Electronic Journal of Differential Equations. Texas State University, 2022, vol. 2022, No 41, p. 1-16. ISSN 1072-6691.

HASIL, Petr and Michal VESELÝ. New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions. Journal of Mathematical Analysis and Applications. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2021, vol. 494, No 1, p. 1-22. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2020.124585.

HASIL, Petr, Jozef KISEL'ÁK, Michal POSPÍŠIL and Michal VESELÝ. Nonoscillation of half-linear dynamic equations on time scales. Mathematical Methods in the Applied Sciences. Wiley, 2021, vol. 44, No 11, p. 8775-8797. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.7304.

HASIL, Petr and Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. Applied Mathematics Letters. Elsevier Ltd., 2021, vol. 117, July, p. "107118", 7 pp. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2021.107118.

HASIL, Petr and Michal VESELÝ. Riccati technique and oscillation of linear second-order difference equations. Archiv der Mathematik. Springer Nature Switzerland AG, 2021, vol. 117, No 6, p. 657-669. ISSN 0003-889X. Available from: https://dx.doi.org/10.1007/s00013-021-01649-2.

HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Problémy z matematické analýzy (Problems from Mathematical Analysis). 2020, 244 pp.

HASIL, Petr, Jaroslav JAROŠ and Michal VESELÝ. Riccati technique and oscillation constant for modified Euler type half-linear equations. Publicationes Mathematicae Debrecen. Debrecen: Kossuth Lajos Tudományegyetem, 2020, vol. 97, 1-2, p. 117-147. ISSN 0033-3883. Available from: https://dx.doi.org/10.5486/PMD.2020.8739.

FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2020, vol. 148, No 10, p. 4319-4332. ISSN 0002-9939. Available from: https://dx.doi.org/10.1090/proc/15072.

HASIL, Petr and Michal VESELÝ. Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups. Topological Methods in Nonlinear Analysis. TORUN: JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2019, vol. 54, No 2, p. 515-535. ISSN 1230-3429. Available from: https://dx.doi.org/10.12775/TMNA.2019.051.

HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Averaging technique and oscillation criterion for linear and half-linear equations. Applied Mathematics Letters. Oxford: PERGAMON-ELSEVIER SCIENCE LTD, 2019, vol. 92, No 2019, p. 62-69. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2019.01.013.

DOŠLÁ, Zuzana, Petr HASIL, Serena MATUCCI and Michal VESELÝ. Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case. Journal of Inequalities and Applications. 4 CRINAN ST, LONDON, N1 9XW, ENGLAND: SPRINGEROPEN, 2019, vol. 2019, No 189, p. 1-30. ISSN 1029-242X. Available from: https://dx.doi.org/10.1186/s13660-019-2137-0.

HASIL, Petr and Michal VESELÝ. Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations. Applied Mathematics and Computation. New York: ELSEVIER SCIENCE INC, 2019, vol. 361, NOV 15 2019, p. 788-809. ISSN 0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2019.06.027.

HASIL, Petr, Jakub JURÁNEK and Michal VESELÝ. Non-oscillation of half-linear difference equations with asymptotically periodic coefficients. Acta Mathematica Hungarica. VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECH: SPRINGER, 2019, vol. 159, No 1, p. 323-348. ISSN 0236-5294. Available from: https://dx.doi.org/10.1007/s10474-019-00940-7.

HASIL, Petr and Michal VESELÝ. Oscillation result for half-linear dynamic equations on timescales and its consequences. Mathematical Methods in the Applied Sciences. Hoboken: Wiley, 2019, vol. 42, No 6, p. 1921-1940. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.5485.

HASIL, Petr and Michal VESELÝ. Prüfer angle and non-oscillation of linear equations with quasiperiodic data. MONATSHEFTE FUR MATHEMATIK. WIEN: SPRINGER WIEN, 2019, vol. 189, No 1, p. 101-124. ISSN 0026-9255. Available from: https://dx.doi.org/10.1007/s00605-018-1232-5.

HASIL, Petr, Jakub JURÁNEK and Michal VESELÝ. Adapted Riccati technique and non-oscillation of linear and half-linear equations. Applied Mathematics Letters. KIDLINGTON, OXFORD OX5 1GB, ENGLAND: PERGAMON-ELSEVIER SCIENCE LTD, 2018, vol. 82, August 2018, p. 98-105. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2018.03.003.

HASIL, Petr and Michal VESELÝ. Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values. Open Mathematics. WARSAW, POLAND: De Gruyter, 2018, vol. 16, No 1, p. 507-521. ISSN 2391-5455. Available from: https://dx.doi.org/10.1515/math-2018-0047.

HASIL, Petr and Michal VESELÝ. Oscillation and non-oscillation results for solutions of perturbed half-linear equations. Mathematical Methods in the Applied Sciences. 111 RIVER ST, HOBOKEN 07030-5774: Wiley, 2018, vol. 41, No 9, p. 3246-3269. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.4813.

HASIL, Petr and Michal VESELÝ. Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University, 2018, vol. 2018, No 24, p. 1-22. ISSN 1072-6691.

DOŠLÝ, Ondřej, Jaroslav JAROŠ and Michal VESELÝ. Generalized Prüfer angle and oscillation of half-linear differential equations. Applied Mathematics Letters. KIDLINGTON, OXFORD, ENGLAND: PERGAMON-ELSEVIER SCIENCE LTD, 2017, vol. 64, February, p. 34-41. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2016.08.004.

HASIL, Petr and Michal VESELÝ. Oscillation and non-oscillation criteria for linear and half-linear difference equations. Journal of Mathematical Analysis and Applications. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, vol. 452, No 1, p. 401-428. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2017.03.012.

HASIL, Petr and Michal VESELÝ. Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups. Journal of Difference Equations and Applications. Abingdon: Taylor and Francis, 2017, vol. 23, No 8, p. 1324-1353. ISSN 1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2017.1326912.

JAROŠ, Jaroslav and Michal VESELÝ. Conditional oscillation of Euler type half-linear differential equations with unbounded coefficients. Studia Scientiarum Mathematicarum Hungarica. Maďarsko: Akadémiai Kiadó, 2016, vol. 53, No 1, p. 22-41. ISSN 0081-6906. Available from: https://dx.doi.org/10.1556/012.2015.1323.

HASIL, Petr and Michal VESELÝ. Non-oscillation of periodic half-linear equations in the critical case. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University, 2016, vol. 2016, May, p. "nestrankovano", 12 pp. ISSN 1072-6691.

HASIL, Petr and Michal VESELÝ. Oscillation and non-oscillation criterion for Riemann-Weber type half-linear differential equations. Electronic Journal of Qualitative Theory of Differential Equations. Maďarsko: Electronic Journal of Qualitative Theory of Differential Equations, 2016, vol. 2016, No 59, p. "nestrankovano", 22 pp. ISSN 1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2016.1.59.

VESELÝ, Michal and Petr HASIL. Values of limit periodic sequences and functions. Mathematica Slovaca. 2016, vol. 66, No 1, p. 43-62. ISSN 0139-9918. Available from: https://dx.doi.org/10.1515/ms-2015-0114.

VESELÝ, Michal and Petr HASIL. Limit periodic homogeneous linear difference systems. Applied Mathematics and Computation. Elsevier, 2015, vol. 265, August, p. 958-972. ISSN 0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2015.06.008.

VESELÝ, Michal and Petr HASIL. Non-oscillation of half-linear differential equations with periodic coefficients. Electronic Journal of Qualitative Theory of Differential Equations. Electronic Journal of Qualitative Theory of Differential Equations, 2015, vol. 2015, No 1, p. 1-21. ISSN 1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2015.1.1.

HASIL, Petr and Michal VESELÝ. Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients. Advances in Difference Equations. Springer, 2015, vol. 2015, June, p. "nestránkováno", 17 pp. ISSN 1687-1847. Available from: https://dx.doi.org/10.1186/s13662-015-0533-4.

DOŠLÝ, Ondřej and Michal VESELÝ. Oscillation and non-oscillation of Euler type half-linear differential equations. Journal of Mathematical Analysis and Applications. 2015, vol. 429, No 1, p. 602-621. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2015.04.030.

VESELÝ, Michal and Petr HASIL. Oscillation constant for modified Euler type half-linear equations. Electronic Journal of Differential Equations. San Marcos: State University and the University of North Texas, 2015, vol. 2015, August, p. "nestránkováno", 14 pp. ISSN 1072-6691.

VESELÝ, Michal and Petr HASIL. Oscillation constants for half-linear difference equations with coefficients having mean values. Advances in Difference Equations. Springer, 2015, vol. 2015, July, p. "nestránkováno", 18 pp. ISSN 1687-1847. Available from: https://dx.doi.org/10.1186/s13662-015-0544-1.

HASIL, Petr, Robert MAŘÍK and Michal VESELÝ. Conditional oscillation of half-linear differential equations with coefficients having mean values. Abstract and Applied Analysis. USA: Hindawi Publishing Corporation, 2014, vol. 2014, No 258159, p. 1-14. ISSN 1085-3375. Available from: https://dx.doi.org/10.1155/2014/258159.

VESELÝ, Michal and Petr HASIL. Conditional oscillation of Riemann-Weber half-linear differential equations with asymptotically almost periodic coefficients. Studia Scientiarum Mathematicarum Hungarica. 2014, vol. 51, No 3, p. 303-321. ISSN 0081-6906. Available from: https://dx.doi.org/10.1556/SScMath.51.2014.3.1283.

HASIL, Petr and Michal VESELÝ. Limit periodic linear difference systems with coefficient matrices from commutative groups. Electronic Journal of Qualitative Theory of Differential Equations. Maďarsko: Electronic Journal of Qualitative Theory of Differential Equations, 2014, vol. 2014, No 23, p. 1-25. ISSN 1417-3875.

VESELÝ, Michal and Petr HASIL. Oscillation and non-oscillation of asymptotically almost periodic half-linear difference equations. Abstract and Applied Analysis. U. S. A.: Hindawi Publishing Corporation, 2013, vol. 2013, No 432936, p. 1-12. ISSN 1085-3375. Available from: https://dx.doi.org/10.1155/2013/432936.

HASIL, Petr and Michal VESELÝ. Oscillation of half-linear differential equations with asymptotically almost periodic coefficients. Advances in Difference Equations. U. S. A.: Springer, 2013, vol. 2013, No 122, p. 1-15. ISSN 1687-1847. Available from: https://dx.doi.org/10.1186/1687-1847-2013-122.

VESELÝ, Michal. Almost periodic homogeneous linear difference systems without almost periodic solutions. Journal of Difference Equations and Applications. Taylor and Francis, 2012, vol. 18, No 10, p. 1623-1647. ISSN 1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2011.585984.

VESELÝ, Michal. Almost periodic skew-symmetric differential systems. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: Bolyai Institute, University of Szeged, 2012, vol. 2012, No 72, p. 1-16. ISSN 1417-3875.

HASIL, Petr and Michal VESELÝ. Almost periodic transformable difference systems. Applied Mathematics and Computation. Spojené státy americké: Elsevier, 2012, vol. 218, No 9, p. 5562-5579. ISSN 0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2011.11.050.

HASIL, Petr and Michal VESELÝ. Critical oscillation constant for difference equations with almost periodic coefficients. Abstract and Applied Analysis. New York: Hindawi Publishing Corporation, 2012, vol. 2012, No 471435, p. 1-19. ISSN 1085-3375. Available from: https://dx.doi.org/10.1155/2012/471435.

VESELÝ, Michal and Petr HASIL. Criticality of one term 2n-order self-adjoined differential equations. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: Bolyai Institute, University of Szeged, 2012, vol. 2012, No 18, p. 1-12. ISSN 1417-3875.

VESELÝ, Michal. Almost periodic sequences and functions with given values. Archivum Mathematicum. Brno: Masaryk University, 2011, 47/2011, No 1, p. 1-16. ISSN 0044-8753.

VESELÝ, Michal. Construction of almost periodic functions with given properties. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University - San Marcos, 2011, vol. 2011, No 29, p. 1-25. ISSN 1072-6691.

VESELÝ, Michal. Construction of almost periodic sequences with given properties. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University - San Marcos, 2008, vol. 2008, No 126, p. 1-22. ISSN 1072-6691.

VESELÝ, Michal. On Orthogonal and Unitary Almost Periodic Homogeneous Linear Difference Systems. In Proceedings of Colloquium on Differential and Difference Equations (Brno, 2006). Brno: Masaryk University, 2007, p. 179-184. ISBN 978-80-210-4414-2.