Large time behavior of solutions to second-order differential equations with p-Laplacian

Abstract

We study asymptotic properties of solutions for certain second-order differential equation with p-Laplacian. The main purpose is to investigate when all global solutions behave at infinity like nontrivial linear functions. Making use of Bihari's inequality and its Dannan's version, we obtain results for differential equations with p-Laplacian analogous which extend those known in the literature concerning ordinary second order differential equations.

Keywords

• Second order differential equation
• p-Laplacian
• Bihari's inequality
• asymptotic properties
• Dannan's inequality