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Search: MSC category 34A60 ( Differential inclusions [See also 49J21, 49K21] )

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1. CMB 2008 (vol 51 pp. 217)

Filippakis, Michael E.; Papageorgiou, Nikolaos S.
 A Multivalued Nonlinear System with the Vector \$p\$-Laplacian on the Semi-Infinity Interval 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 mapCategory:34A60

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