Asymptotic problems for nonlinear ordinary differential equations with φ-Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Dosla, Zuzana¹  Fujimoto, Kodai¹ 

[1] Masaryk Univ, Dept Math & Stat, Kotlaska 2, CZ-61137 Brno, Czech Republic

关键词: Oscillation;    Asymptotic behavior;    Unbounded solutions;    Weakly increasing solutions;    Extremal solutions;    Prescribed mean curvature equations;   

DOI  :  10.1016/j.jmaa.2019.123674

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free