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@article{2301657, author = {Došlá, Zuzana and Fujimoto, Kodai}, article_number = {1}, doi = {http://dx.doi.org/10.1007/s00605-023-01835-0}, keywords = {Asymptotic behavior; Nonoscillatory solutions; Extremal solutions; Weakly increasing solutions; p(t)-Laplacian; Half-linear differential equations}, language = {eng}, issn = {0026-9255}, journal = {Monatshefte für Mathematik}, title = {Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian}, url = {https://doi.org/10.1007/s00605-023-01835-0}, volume = {201}, year = {2023} }
TY - JOUR ID - 2301657 AU - Došlá, Zuzana - Fujimoto, Kodai PY - 2023 TI - Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian JF - Monatshefte für Mathematik VL - 201 IS - 1 SP - 65-78 EP - 65-78 PB - Springer SN - 00269255 KW - Asymptotic behavior KW - Nonoscillatory solutions KW - Extremal solutions KW - Weakly increasing solutions KW - p(t)-Laplacian KW - Half-linear differential equations UR - https://doi.org/10.1007/s00605-023-01835-0 N2 - This paper deals with the nonoscillatory solutions of the nonlinear differential equation (a(t)|x'|(p(t)-2)x')' +b(t)|x|(?-2)x = 0 involving "singular" p(t)-Laplacian. Sufficient conditions are given for the existence of extremal solutions, which do not exist in the conventional cases. In addition, we prove the coexistence of extremal solutions and weakly increasing solutions. Some examples are given to illustrate our results. ER -
DOŠLÁ, Zuzana a Kodai FUJIMOTO. Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian. \textit{Monatshefte für Mathematik}. Springer, 2023, roč.~201, č.~1, s.~65-78. ISSN~0026-9255. Dostupné z: https://dx.doi.org/10.1007/s00605-023-01835-0.
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