Special Session 146: Nonlinear differential equations: control, delay, and boundary value problems

Bifurcation approach for periodic solutions in a superlinear BVP
Andrea Tellini
Universidad Politécnica de Madrid
Spain
Co-Author(s):    Eduardo Mu\~{n}oz-Hern\`{a}ndez, Juan Carlos Sampedro
Abstract:
I will show how a bifurcation approach can be applied to a periodic superlinear boundary value problem also for eigenvalues with even multiplicity. This approach allows us to obtain existence and multiplicity results for local and global branches of periodic solutions with a certain nodal behavior. The optimality of such results will be also discussed with the aid of numerical simulations. These results have been obtained in collaboration with Eduardo Mu\~{n}oz-Hern\`{a}ndez (Universidad Complutense de Madrid, Spain) and Juan Carlos Sampedro (Universidad de Cantabria, Spain).