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@article{1694579, author = {Došlá, Zuzana and Fujimoto, Kodai}, article_location = {San Diego}, article_number = {1}, doi = {http://dx.doi.org/10.1016/j.jmaa.2019.123674}, keywords = {Oscillation; Asymptotic behavior; Unbounded solutions; Weakly increasing solutions; Extremal solutions; Prescribed mean curvature equations}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian}, url = {https://doi.org/10.1016/j.jmaa.2019.123674}, volume = {484}, year = {2020} }
TY - JOUR ID - 1694579 AU - Došlá, Zuzana - Fujimoto, Kodai PY - 2020 TI - Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian JF - Journal of Mathematical Analysis and Applications VL - 484 IS - 1 SP - 1-19 EP - 1-19 PB - Elsevier SN - 0022247X KW - Oscillation KW - Asymptotic behavior KW - Unbounded solutions KW - Weakly increasing solutions KW - Extremal solutions KW - Prescribed mean curvature equations UR - https://doi.org/10.1016/j.jmaa.2019.123674 L2 - https://doi.org/10.1016/j.jmaa.2019.123674 N2 - This paper deals with the asymptotic problems for the nonlinear differential equation (a(t)phi(x'))' + b(t)vertical bar x vertical bar(gamma) sgn x = 0 involving phi-Laplacian. Necessary and sufficient conditions are given for the oscillation of solutions of this equation. Moreover, we study the existence of unbounded solutions with different asymptotic behavior, in particular, weakly increasing solutions and extremal solutions. Examples for prescribed mean curvature equation are given to illustrate our results. (C) 2019 Elsevier Inc. All rights reserved. ER -
DOŠLÁ, Zuzana a Kodai FUJIMOTO. Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian. \textit{Journal of Mathematical Analysis and Applications}. San Diego: Elsevier, 2020, roč.~484, č.~1, s.~1-19. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2019.123674.
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