Name and surname:
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prof. RNDr. Jaroslav Jaroš, CSc.
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Document type:
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Research/art/teacher profile of a person
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The name of the university:
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Comenius University Bratislava
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The seat of the university:
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Šafárikovo námestie 6, 818 06 Bratislava
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III.a - Occupation-position | III.b - Institution | III.c - Duration |
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Military service | VÚ Benešov u Prahy | 01.09.1980 - 31.08.1981 |
Interný vedecký ašpirant / PhD. Student | Comenius University in Bratislava | 01.09.1981 - 31.08.1984 |
Assistant | Comenius University in Bratislava | 01.09.1984 - 31.01.1991 |
Docent / Assistant Professor | Comenius University in Bratislava | 01.02.1991 - 31.05.2013 |
Professor | Comenius University in Bratislava | 01.06.2013 - today |
V.1.a - Name of the profile course | V.1.b - Study programme | V.1.c - Degree | V.1.d - Field of study |
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Obyčajné diferenciálne rovnice 2 | Manažérska matematika / Managerial mathematics | II. | Matematika / Mathematics |
Parciálne diferenciálne rovnice | Manažérska matematika / Managerial mathematics | II. | Matematika / Mathematics |
Netradičné aplikácie matematickej analýzy | Matematika / Mathematics | II. | Matematika / mathematics |
Biomatematika 1, 2 | Matematika / Mathematics | I. | Matematika / Mathematics |
Funkcionálne diferenciálne rovnice | Matematická analýza / Mathematical Analysis | III. | Matematika / Mathematics |
J.Jaros, T. Kusano, On strongly decreasing solutions of cyclic systems of second-ordet nonlinear differential equations, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, Vol. 145, No. 5 (2015), 1007-1028
J. Jaros, Caccioppoli estimates though an anisotropic Picone's identity, Proceedings of the American Mathematical Society,-Vol. 143, No. 3(2015), 1137-1144
J.Jaros, A-harmonic Picone's identity with applications, Annali di Matematica Pura ed Applicata.-Vol. 194, No.3(2015), 719-729
J.Jaros, T. Kusano, T. Tanigawa, Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach, Electronic Journal of Qualitative Theory of Differential Equations, No. 92(2018), 1-28
J. Jaros, An integral oscillation criterion for even order half-linear differential equations, Applied Mathematics Letters, Vol. 104(2020), pp. 1-6
J.Jaros, A new look at an old comparison theorem, Archivum Mathematicum 57 (2021), 151-156
J. Jaros, T. Kusano, T. Tanigawa, Extreme and moderate solutions of nonoscillatory second order half-linear differential equations, Annales Polonoci Mathematici 128 (2022), 49-85
J.Jaros, Integral Comparison Criteria for Nonoscillation of Half-Linear Differential Equations of the Second Order, Memoirs on Differential Equations and Mathematical Physics 90 (2023), 27-38
P. Hasil, J. Jaros, M. Vesely, Riccati technique and oscillation constant for modified Euler half-linear equations, Publicationes Mathematicae 97 (2020), 117-147
J. Jaros, An integral oscillation criterion for even order half-linear differential equations, Applied Mathematics Letters, Vol. 104(2020), pp. 1-6
J. Jaros, Caccioppoli estimates though an anisotropic Picone's identity, Proceedings of the American Mathematical Society,-Vol. 143, No. 3(2015), 1137-1144 cited in: Della Pietra, F.-Di Blasio,G., Bllow-up solutions for some nonlinear elliptic equations involving a Finsler-Laplacian, Publicacions Mathematiques, Vol. 61, No. 1, 2017, 213-238.
J.Jaros, A-harmonic Picone's identity with applications, Annali di Matematica Pura ed Applicata.-Vol. 194, No.3(2015), 719-729, cited in: Brasco, L.-Franzina, G., Convexity Properties of Dirichlet Integrals and Picone-Type Inequalities, Kodai Mathematical Journal, Vol. 37, No. 3, 2014, 769-799
J.Jaros, T. Kusano, T. Tanigawa, Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach, Electronic Journal of Qualitative Theory of Differential Equations, No. 92(2018), 1-28, cited in: Itakura,K.-Onitsuka, M.-Tanaka, S., Perturbations of planar quasilinear differential systems, Journal of Differential Equations, Vol. 271, 2021, 216-253
J.Jaros, T. Kusano, On strongly decreasing solutions of cyclic systems of second-ordet nonlinear differential equations, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, Vol. 145, No. 5 (2015), 1007-1028, cited in: Covei, D.P., Entire Solutions of a Nonlinear Diffusion System, Studies in Systems, Decision and Control, Vol. 177, 2020, 459-485
Kusano, T,-Jaros, J. - Yoshida, N., A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of the second order, Nonlinear Analysis , TMA, Vol. 40, No. 1-8 (2000), 381-395, cited in: Lee, Y.H.- Sim, I., Global bifurcation phenomena for singular one-dimensional p-Laplacian, Journal of Differential Equations, Vol. 229, No. 1, 2006, 229-256
Slovak Grant Agency VEGA, project No. 1/0078/17 (principal investigator Prof. RNDr. Milan Medveď, DrSc.)
Slovak Grant Agency VEGA, project No. 1/0358/20 (principal investigator doc.RNDr. Michal Pospíšil, PhD.)
Slovak Grant Agency VEGA, project No. 1/0084/23 (principal investigator doc.RNDr. Michal Pospíšil, PhD.)
VIII.a - Name of the institution | VIII.b - Address of the institution | VIII.c - Duration (indicate the duration of stay) | VIII.d - Mobility scheme, employment contract, other (describe) |
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University of Rhode Island | Kingston, Rhode Island, USA | 01.01.1993 - 30.06.1993 | Fulbrightovo štipendium / Fulbright Scholarship |
Fukuoka University | Fukuoka, Japonsko | 01.10,1996 - 31.03.1997 | Scholarship of Matsumae International Foundation (Tokyo) |