6533b85dfe1ef96bd12bdf9e
RESEARCH PRODUCT
Nonlinear vector Duffing inclusions with no growth restriction on the orientor field
Calogero VetroNikolaos S. PapageorgiouFrancesca Vetrosubject
Pure mathematicsApplied MathematicsRegular polygonSolution setPerturbation (astronomy)Dirichlet distributionDuffing systemNonlinear systemsymbols.namesakeMonotone polygonNonlinear operator of mono-tone typeGrowth restrictionSettore MAT/05 - Analisi MatematicaConvex optimizationStrong relaxationssymbolsExtremal solutionAnalysisMathematicsdescription
We consider nonlinear multivalued Dirichlet Duffing systems. We do not impose any growth condition on the multivalued perturbation. Using tools from the theory of nonlinear operators of monotone type, we prove existence theorems for the convex and the nonconvex problems. Also we show the existence of extremal trajectories and show that such solutions are $C_0^1(T,\mathbb{R}^N)$-dense in the solution set of the convex problem (strong relaxation theorem).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-07-13 |