Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.

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.
Related projects:	Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací