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. |
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@article{1839917, author = {Hasil, Petr and Veselý, Michal}, article_number = {3}, doi = {http://dx.doi.org/10.1007/s13163-021-00407-w}, keywords = {Half-linear equation; Linear equation; Riccati equation; Oscillation; Riccati technique}, language = {eng}, issn = {1139-1138}, journal = {Revista Matemática Complutense}, title = {Oscillation of linear and half-linear differential equations via generalized Riccati technique}, url = {https://link.springer.com/article/10.1007/s13163-021-00407}, volume = {35}, year = {2022} }
TY - JOUR ID - 1839917 AU - Hasil, Petr - Veselý, Michal PY - 2022 TI - Oscillation of linear and half-linear differential equations via generalized Riccati technique JF - Revista Matemática Complutense VL - 35 IS - 3 SP - 835-849 EP - 835-849 PB - Springer-Verlag Italia s.r.l. SN - 11391138 KW - Half-linear equation KW - Linear equation KW - Riccati equation KW - Oscillation KW - Riccati technique UR - https://link.springer.com/article/10.1007/s13163-021-00407 N2 - In this paper, we analyse the oscillation of second-order half-linear differential equations whose coefficients are given by the products of (typically bounded) functions and power functions. Applying the generalized Riccati technique, we find a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations with bounded non-power parts. This fact is appropriately documented by new corollaries. ER -
HASIL, Petr and Michal VESELÝ. Oscillation of linear and half-linear differential equations via generalized Riccati technique. \textit{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.
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