DOŠLÁ, Zuzana, Petr HASIL, Serena MATUCCI a Michal VESELÝ. Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case. Journal of Inequalities and Applications. 4 CRINAN ST, LONDON, N1 9XW, ENGLAND: SPRINGEROPEN, 2019, roč. 2019, č. 189, s. 1-30. ISSN 1029-242X. Dostupné z: https://dx.doi.org/10.1186/s13660-019-2137-0. |
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@article{1561316, author = {Došlá, Zuzana and Hasil, Petr and Matucci, Serena and Veselý, Michal}, article_location = {4 CRINAN ST, LONDON, N1 9XW, ENGLAND}, article_number = {189}, doi = {http://dx.doi.org/10.1186/s13660-019-2137-0}, keywords = {Half-linear equations; Linear equations; Euler type equations; Oscillation theory; Oscillation criterion; Non-oscillation criterion; Oscillation constant; p-Laplacian}, language = {eng}, issn = {1029-242X}, journal = {Journal of Inequalities and Applications}, title = {Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case}, url = {https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2137-0}, volume = {2019}, year = {2019} }
TY - JOUR ID - 1561316 AU - Došlá, Zuzana - Hasil, Petr - Matucci, Serena - Veselý, Michal PY - 2019 TI - Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case JF - Journal of Inequalities and Applications VL - 2019 IS - 189 SP - 1-30 EP - 1-30 PB - SPRINGEROPEN SN - 1029242X KW - Half-linear equations KW - Linear equations KW - Euler type equations KW - Oscillation theory KW - Oscillation criterion KW - Non-oscillation criterion KW - Oscillation constant KW - p-Laplacian UR - https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2137-0 L2 - https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2137-0 N2 - This paper is devoted to the analysis of the oscillatory behavior of Euler type linear and half-linear differential equations. We focus on the so-called conditional oscillation, where there exists a borderline between oscillatory and non-oscillatory equations. The most complicated problem involved in the theory of conditionally oscillatory equations is to decide whether the equations from the given class are oscillatory or non-oscillatory in the threshold case. In this paper, we answer this question via a combination of the Riccati and Prüfer technique. Note that the obtained non-oscillation of the studied equations is important in solving boundary value problems on non-compact intervals and that the obtained results are new even in the linear case. ER -
DOŠLÁ, Zuzana, Petr HASIL, Serena MATUCCI a Michal VESELÝ. Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case. \textit{Journal of Inequalities and Applications}. 4 CRINAN ST, LONDON, N1 9XW, ENGLAND: SPRINGEROPEN, 2019, roč.~2019, č.~189, s.~1-30. ISSN~1029-242X. Dostupné z: https://dx.doi.org/10.1186/s13660-019-2137-0.
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