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

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

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...

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Bibliographic Details
Main Authors: Eva Pekarkova, Milan Medved
Format: Article
Language:English
Published: Texas State University 2008-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Second order differential equation
p-Laplacian
Bihari's inequality
asymptotic properties
Dannan's inequality
Online Access:http://ejde.math.txstate.edu/Volumes/2008/108/abstr.html
Description
Summary: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.
ISSN:1072-6691

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