Multiplicity of forced oscillations for scalar retarded functional differential equations. (9th January 2018)

• Record Type: Journal Article
• Authors: Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 5(2018)
• Page Start: 1944
• Page End: 1953
• Publication Date: 2018-01-09
• Subjects: degree of a tangent vector field -- forced motion -- forced motion on manifolds -- multiplicity of periodic solutions -- periodic solutions -- retarded functional differential equations; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4720
• Languages: English
• ISSNs: 0170-4214

Abstract

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.