Abstract view
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A Multivalued Nonlinear System with the Vector $p$-Laplacian on the Semi-Infinity Interval
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Published:2008-06-01
Printed: Jun 2008
Michael E. Filippakis
Nikolaos S. Papageorgiou
Abstract
We study a second order nonlinear system driven by the vector
$p$-Laplacian, with a multivalued nonlinearity and defined on
the positive time semi-axis $\mathbb{R}_+.$ Using degree
theoretic techniques we solve an auxiliary mixed boundary value
problem defined on the finite interval $[0,n]$ and then via a
diagonalization method we produce a solution for the original
infinite time-horizon system.
| Keywords: |
semi-infinity interval, vector $p$-Laplacian, multivalued nonlinear, fixed point index, Hartman condition, completely continuous map
semi-infinity interval, vector $p$-Laplacian, multivalued nonlinear, fixed point index, Hartman condition, completely continuous map
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