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Your search keyword '"Spadini, Marco"' showing total 2 results
Start Over Author "Spadini, Marco" Publisher wiley-blackwell
2 results on '"Spadini, Marco"'

1. Multiplicity of forced oscillations for scalar retarded functional differential equations.

Author

Calamai, Alessandro, Pera, Maria Patrizia, and Spadini, Marco

Subjects
OSCILLATION theory of functional differential equations, PERTURBATION theory, MANIFOLDS (Mathematics), VECTOR fields, MATHEMATICAL proofs
Abstract

We find multiplicity results for forced oscillations of a periodically perturbed autonomous second‐order equation, the perturbing term possibly depending on the whole history of the system. The techniques that we use are topological in nature, but the technical details are hidden in the proofs and completely transparent to the reader only interested in the results. [ABSTRACT FROM AUTHOR]

Published
2018
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2. About the notion of non-T-resonance and applications to topologicalmultiplicity results for ODEs on differentiable manifolds.

Author

Bisconti, Luca and Spadini, Marco

Subjects
*VECTOR fields, *TANGENT function, *PERTURBATION theory, *MANIFOLDS (Mathematics), *DIFFERENTIAL geometry
Abstract

By using topological methods, mainly the degree of a tangent vector field, we establishmultiplicity results for T-periodic solutions of parametrized T-periodic perturbations of autonomous ODEs on a differentiable manifold M. In order to provide insights into the key notion of T-resonance, we consider the elementary situations M=R and M=R². Doing so, we provide more comprehensive analysis of those cases and find improved conditions. [ABSTRACT FROM AUTHOR]

Published
2015
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