Milan Medved, Eva Pekarkova
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.
Submitted June 9, 2008. Published August 11, 2008.
Math Subject Classifications: 34C11.
Key Words: Second order differential equation; p-Laplacian;
Bihari's inequality; asymptotic properties;
Dannan's inequality.
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Milan Medved Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and Informatics Comenius University, Mlynska dolina, 842 48 Bratislava, Slovakia email: medved@fmph.uniba.sk |
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Eva Pekarkova Department of Mathematics and Statistics Faculty of Science, Masaryk University Janackovo nam. 2a, CZ-602 00 Brno, Czech Republic email: pekarkov@math.muni.cz |
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