Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| 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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