HASIL, Petr a Michal VESELÝ. Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University, 2018, roč. 2018, č. 24, s. 1-22. ISSN 1072-6691. |
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@article{1403179, author = {Hasil, Petr and Veselý, Michal}, article_location = {San Marcos, TX 78666, USA}, article_number = {24}, keywords = {time scale; dynamic equation; oscillation criteria; conditional oscillation; Riccati technique; half-linear equation; linear equation}, language = {eng}, issn = {1072-6691}, journal = {Electronic Journal of Differential Equations}, title = {Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients}, volume = {2018}, year = {2018} }
TY - JOUR ID - 1403179 AU - Hasil, Petr - Veselý, Michal PY - 2018 TI - Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients JF - Electronic Journal of Differential Equations VL - 2018 IS - 24 SP - 1-22 EP - 1-22 PB - Texas State University SN - 10726691 KW - time scale KW - dynamic equation KW - oscillation criteria KW - conditional oscillation KW - Riccati technique KW - half-linear equation KW - linear equation N2 - We analyse second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients. We continue in the research of the so-called conditional oscillation. The previously known conditionally oscillatory dynamic equations were allowed to contain only periodic coefficients. In the presented results, we deal with bounded coefficients (among others, our results cover coefficients which are periodic, almost periodic, having mean values, etc.). We point out that the results are new even for linear dynamic equations. We also provide corollaries to illustrate the novelty of our results. ER -
HASIL, Petr a Michal VESELÝ. Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients. \textit{Electronic Journal of Differential Equations}. San Marcos, TX 78666, USA: Texas State University, 2018, roč.~2018, č.~24, s.~1-22. ISSN~1072-6691.
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