HASIL, Petr a Michal VESELÝ. Non-oscillation of periodic half-linear equations in the critical case. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University, 2016, roč. 2016, May, s. "nestrankovano", 12 s. ISSN 1072-6691. |
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@article{1345191, author = {Hasil, Petr and Veselý, Michal}, article_location = {San Marcos, TX 78666, USA}, article_number = {May}, keywords = {half-linear equations; Prüfer angle; oscillation theory; conditional oscillation; oscillation constant}, language = {eng}, issn = {1072-6691}, journal = {Electronic Journal of Differential Equations}, title = {Non-oscillation of periodic half-linear equations in the critical case}, volume = {2016}, year = {2016} }
TY - JOUR ID - 1345191 AU - Hasil, Petr - Veselý, Michal PY - 2016 TI - Non-oscillation of periodic half-linear equations in the critical case JF - Electronic Journal of Differential Equations VL - 2016 IS - May SP - "nestrankovano" EP - "nestrankovano" PB - Texas State University SN - 10726691 KW - half-linear equations KW - Prüfer angle KW - oscillation theory KW - conditional oscillation KW - oscillation constant N2 - Recently, it was shown that certain Euler type half-linear differential equations with periodic coefficients are conditionally oscillatory and the critical oscillation constant was found. Nevertheless, the critical case remains unsolved. The objective of this article is to study the critical case. Thus, we consider the critical value of the coefficients and we prove that any considered equation is non-oscillatory. Moreover, we analyze the situation when the periods of coefficients do not need to coincide. ER -
HASIL, Petr a Michal VESELÝ. Non-oscillation of periodic half-linear equations in the critical case. \textit{Electronic Journal of Differential Equations}. San Marcos, TX 78666, USA: Texas State University, 2016, roč.~2016, May, s.~''nestrankovano'', 12 s. ISSN~1072-6691.
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