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Next talk of the Seminar (11:00, Room 10.2.6)
08/05/2025: “A topological
approach to nonlocal second order boundary value problems”
Edixon Rojas (Universidad Nacional de Colombia)
We present a methodology for studying
the existence of at least one non-negative solution for a class of nonlocal ordinary differential equations with Dirichlet
boundary conditions. This approach involves applying a
localization fixed point result in cones, which enables us to avoid imposing excessive
assumptions on the nonlocal coefficient function of the equation. A key
aspect of this methodology is the construction of a non-standard tailored
cone that encapsulates the nonlocal nature of the
eventual solutions. The objective of this talk is to explore the properties
of the functionals that characterize the global behavior of these
solutions, thereby rendering the technique suitable for investigating this
type of differential equation.
This seminar is supported in part by FCT –
Portuguese Foundation for Science and Technology, under the FCT
Multi-Annual Financing Program, through the Center for Research and
Development in Mathematics and Applications (CIDMA) of Universidade de
Aveiro.
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