HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Averaging technique and oscillation criterion for linear and half-linear equations. Applied Mathematics Letters. Oxford: PERGAMON-ELSEVIER SCIENCE LTD, 2019, vol. 92, No 2019, p. 62-69. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2019.01.013. |
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@article{1484480, author = {Hasil, Petr and Šišoláková, Jiřina and Veselý, Michal}, article_location = {Oxford}, article_number = {2019}, doi = {http://dx.doi.org/10.1016/j.aml.2019.01.013}, keywords = {Half-linear equations; Linear differential equations; Averaging technique; Prüfer angle; Oscillation criterion}, language = {eng}, issn = {0893-9659}, journal = {Applied Mathematics Letters}, title = {Averaging technique and oscillation criterion for linear and half-linear equations}, url = {https://www.sciencedirect.com/science/article/pii/S089396591930014X}, volume = {92}, year = {2019} }
TY - JOUR ID - 1484480 AU - Hasil, Petr - Šišoláková, Jiřina - Veselý, Michal PY - 2019 TI - Averaging technique and oscillation criterion for linear and half-linear equations JF - Applied Mathematics Letters VL - 92 IS - 2019 SP - 62-69 EP - 62-69 PB - PERGAMON-ELSEVIER SCIENCE LTD SN - 08939659 KW - Half-linear equations KW - Linear differential equations KW - Averaging technique KW - Prüfer angle KW - Oscillation criterion UR - https://www.sciencedirect.com/science/article/pii/S089396591930014X L2 - https://www.sciencedirect.com/science/article/pii/S089396591930014X N2 - Using a general averaging technique for the generalized adapted Prüfer angle, we prove an oscillation criterion concerning half-linear second order differential equations, where the coefficients r and s are continuous functions. We find simple conditions on r, s which imply that the considered equations are oscillatory. The obtained result is new even in the linear case. ER -
HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Averaging technique and oscillation criterion for linear and half-linear equations. \textit{Applied Mathematics Letters}. Oxford: PERGAMON-ELSEVIER SCIENCE LTD, 2019, vol.~92, No~2019, p.~62-69. ISSN~0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2019.01.013.
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