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. |
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@article{1875517, author = {Hasil, Petr and Šišoláková, Jiřina and Veselý, Michal}, article_number = {41}, keywords = {Half-linear equations; linear equations; Prüfer angle; oscillation criterion; averaging technique}, language = {eng}, issn = {1072-6691}, journal = {Electronic Journal of Differential Equations}, title = {Oscillation of modified Euler type half-linear differential equations via averaging technique}, url = {https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf}, volume = {2022}, year = {2022} }
TY - JOUR ID - 1875517 AU - Hasil, Petr - Šišoláková, Jiřina - Veselý, Michal PY - 2022 TI - Oscillation of modified Euler type half-linear differential equations via averaging technique JF - Electronic Journal of Differential Equations VL - 2022 IS - 41 SP - 1-16 EP - 1-16 PB - Texas State University SN - 10726691 KW - Half-linear equations KW - linear equations KW - Prüfer angle KW - oscillation criterion KW - averaging technique UR - https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf N2 - In this article, we analyze the oscillation behavior of half-linear differential equation (r(t)t^(p-1)Phi(x'))' + s(t)/(t log^p t) Phi(x) = 0, Phi(x) = |x|^(p-1) sgn x, p > 1. Applying the modified half-linear Prüfer angle and a general averaging technique over unbounded intervals, we prove an oscillation criterion for the studied equation. We point out that the presented oscillation criterion is new even in the linear case when p = 2. ER -
HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation of modified Euler type half-linear differential equations via averaging technique. \textit{Electronic Journal of Differential Equations}. Texas State University, 2022, vol.~2022, No~41, p.~1-16. ISSN~1072-6691.
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