Pera: Existence and global bifurcation of periodic solutions for retarded functional differential equations on manifolds
Pera: In this talk, I will present some results on the existence and global bifurcation of periodic solutions to first and second order retarded functional differential equations on boundaryless smooth manifolds. I will consider both cases of a topologically nontrivial compact manifold (e.g., an even dimensional sphere) and of a possibly noncompact constraint, assuming in the latter case that the topological degree of a suitable tangent vector field is nonzero. The approach is topological and based on the fixed point index theory for locally compact maps on metric Absolute Neighborhood Retracts (ANRs). Finally, I will show how to deduce from our results a Rabinowitz-type global bifurcation result as well as a Mawhin-type continuation principle. http://cvgmt.sns.it/seminar/692/
When
Fri May 17, 2019 1:20pm – 2:20pm Coordinated Universal Time
