VESELÝ, Michal a 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, roč. 2015, č. 1, s. 1-21. ISSN 1417-3875. Dostupné z: https://dx.doi.org/10.14232/ejqtde.2015.1.1. |
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@article{1225786, author = {Veselý, Michal and Hasil, Petr}, article_number = {1}, doi = {http://dx.doi.org/10.14232/ejqtde.2015.1.1}, keywords = {half-linear equations; Euler type equations; oscillation theory; conditional oscillation; oscillation constant}, language = {eng}, issn = {1417-3875}, journal = {Electronic Journal of Qualitative Theory of Differential Equations}, title = {Non-oscillation of half-linear differential equations with periodic coefficients}, url = {http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3311}, volume = {2015}, year = {2015} }
TY - JOUR ID - 1225786 AU - Veselý, Michal - Hasil, Petr PY - 2015 TI - Non-oscillation of half-linear differential equations with periodic coefficients JF - Electronic Journal of Qualitative Theory of Differential Equations VL - 2015 IS - 1 SP - 1-21 EP - 1-21 PB - Electronic Journal of Qualitative Theory of Differential Equations SN - 14173875 KW - half-linear equations KW - Euler type equations KW - oscillation theory KW - conditional oscillation KW - oscillation constant UR - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3311 L2 - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3311 N2 - We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory equations from non-oscillatory ones. In this paper, we study oscillatory properties in the border case. More precisely, we prove that the considered equations are non-oscillatory in this case. Our results cover the situation when the periodic coefficients do not have any common period. ER -
VESELÝ, Michal a Petr HASIL. Non-oscillation of half-linear differential equations with periodic coefficients. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Electronic Journal of Qualitative Theory of Differential Equations, 2015, roč.~2015, č.~1, s.~1-21. ISSN~1417-3875. Dostupné z: https://dx.doi.org/10.14232/ejqtde.2015.1.1.
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