DOŠLÝ, Ondřej, Abdullah ÖZBEKLER and Roman ŠIMON HILSCHER. Oscillation criterion for half-linear differential equations with periodic coefficients. Journal of Mathematical Analysis and Applications. San Diego (USA): Elsevier Science, 2012, vol. 393, No 2, p. 360-366. ISSN 0022-247X. doi:10.1016/j.jmaa.2012.03.020. |
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@article{974519, author = {Došlý, Ondřej and Özbekler, Abdullah and Šimon Hilscher, Roman}, article_location = {San Diego (USA)}, article_number = {2}, doi = {http://dx.doi.org/10.1016/j.jmaa.2012.03.020}, keywords = {Oscillation; Half-linear equation; Periodic coefficients; Modified Riccati equation; Hill's Equation}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {Oscillation criterion for half-linear differential equations with periodic coefficients}, volume = {393}, year = {2012} }
TY - JOUR ID - 974519 AU - Došlý, Ondřej - Özbekler, Abdullah - Šimon Hilscher, Roman PY - 2012 TI - Oscillation criterion for half-linear differential equations with periodic coefficients JF - Journal of Mathematical Analysis and Applications VL - 393 IS - 2 SP - 360-366 EP - 360-366 PB - Elsevier Science SN - 0022247X KW - Oscillation KW - Half-linear equation KW - Periodic coefficients KW - Modified Riccati equation KW - Hill's Equation N2 - In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation. ER -
DOŠLÝ, Ondřej, Abdullah ÖZBEKLER and Roman ŠIMON HILSCHER. Oscillation criterion for half-linear differential equations with periodic coefficients. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Elsevier Science, 2012, vol.~393, No~2, p.~360-366. ISSN~0022-247X. doi:10.1016/j.jmaa.2012.03.020.
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