Publication details

Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian

Authors

DOŠLÁ Zuzana FUJIMOTO Kodai

Year of publication 2020
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1016/j.jmaa.2019.123674
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
Description 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.
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