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@article{1673348, author = {Šišoláková, Jiřina}, article_location = {Hoboken}, article_number = {2}, doi = {http://dx.doi.org/10.1002/mma.6828}, keywords = {linear equations; half-linear equations; oscillation theory; non-oscillation criterion; Riccati equation; Prüfer angle}, language = {eng}, issn = {0170-4214}, journal = {Mathematical Methods in the Applied Sciences}, title = {Non-oscillation of linear and half-linear differential equations with unbounded coefficients}, url = {https://doi.org/10.1002/mma.6828}, volume = {44}, year = {2021} }
TY - JOUR ID - 1673348 AU - Šišoláková, Jiřina PY - 2021 TI - Non-oscillation of linear and half-linear differential equations with unbounded coefficients JF - Mathematical Methods in the Applied Sciences VL - 44 IS - 2 SP - 1285-1297 EP - 1285-1297 PB - Wiley SN - 01704214 KW - linear equations KW - half-linear equations KW - oscillation theory KW - non-oscillation criterion KW - Riccati equation KW - Prüfer angle UR - https://doi.org/10.1002/mma.6828 L2 - https://doi.org/10.1002/mma.6828 N2 - We deal with Euler type half-linear second order differential equations and our intention is to derive conditions in order their non-trivial solutions are non-oscillatory. This paper connects to the article P. Hasil, J. Šišoláková, M. Veselý: Averaging technique and oscillation criterion for linear and half-linear equations, Appl. Math. Lett. 92 (2019), 62-69, where the corresponding oscillatory counterpart is studied and an oscillation criterion is established. The used effective technique for this investigation is the combination of the generalized adapted Prüfer angle and the modified Riccati transformation. This paper is completed by two corollaries and an example concerning the linear case when we obtain new results as well. ER -
ŠIŠOLÁKOVÁ, Jiřina. Non-oscillation of linear and half-linear differential equations with unbounded coefficients. \textit{Mathematical Methods in the Applied Sciences}. Hoboken: Wiley, 2021, roč.~44, č.~2, s.~1285-1297. ISSN~0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.6828.
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