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@article{2301320, author = {Hasil, Petr and Veselý, Michal}, article_number = {7}, doi = {http://dx.doi.org/10.1002/mana.202100169}, keywords = {half-linear equations; linear equations; nonoscillation criterion; oscillation constant; oscillation criterion; oscillation theory; p-Laplacian}, language = {eng}, issn = {0025-584X}, journal = {Mathematische Nachrichten}, title = {Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian}, url = {https://doi.org/10.1002/mana.202100169}, volume = {296}, year = {2023} }
TY - JOUR ID - 2301320 AU - Hasil, Petr - Veselý, Michal PY - 2023 TI - Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian JF - Mathematische Nachrichten VL - 296 IS - 7 SP - 2809-2837 EP - 2809-2837 PB - Wiley-VCH Verlag GmbH SN - 0025584X KW - half-linear equations KW - linear equations KW - nonoscillation criterion KW - oscillation constant KW - oscillation criterion KW - oscillation theory KW - p-Laplacian UR - https://doi.org/10.1002/mana.202100169 N2 - In this paper, we analyze oscillatory properties of perturbed half-linear differential equations (i.e., equations with one-dimensional p-Laplacian). The presented research covers the Euler and Riemann-Weber type equations with very general coefficients. We prove an oscillatory result and a nonoscillatory one, which show that the studied equations are conditionally oscillatory (i.e., there exists a certain threshold value that separates oscillatory and nonoscillatory equations). The obtained criteria are easy to use. Since the number of perturbations is arbitrary, we solve the oscillation behavior of the equations in the critical setting when the coefficients give exactly the threshold value. The results are new for linear equations as well. ER -
HASIL, Petr a Michal VESELÝ. Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian. \textit{Mathematische Nachrichten}. Wiley-VCH Verlag GmbH, 2023, roč.~296, č.~7, s.~2809-2837. ISSN~0025-584X. Dostupné z: https://dx.doi.org/10.1002/mana.202100169.
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