Feliz Minhos
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Full Professor
PortugalResearch Interests
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About
Feliz Minhos is a Full Professor at the University of Évora in Portugal. His research focuses on the mathematical modeling and analysis of various biological and ecological systems, as evidenced by his recent work on epidemic models and disease transmission dynamics. He has contributed significantly to the field with publications on differential equations and their applications in coupled systems. Professor Minhos's expertise includes non-standard finite difference methods and impulse conditions in mathematical systems.
Recent Grants
Grant: Close
Research Centre for Mathematics and Applications
Open Date: 2020-01-01
Close Date: 2023-12-31
Grant: Close
International Workshop on Boundary Value Problems : new trends and applications 2014
Open Date: 2014-01-01
Close Date: 2014-09-30
Grant: Close
Unbounded solutions for Boundary Value Problems on unbounded Domains
Open Date: 2012-01-01
Close Date:
Grant: Close
Nonlinear Higher Order Boundary Value Problems and Applications
Open Date: 2008-01-01
Close Date: 2009-01-01
Grant: Close
Nonlinear Problems Applied to Mathematic Models of Beams, Suspension Bridges, and the Vertebral Column
Open Date: 2006-01-01
Close Date: 2006-01-01
Articles (10)
Year:
2025
Year:
2025
Year:
2024
Year:
2024
This paper deals with two types of systems of second-order differential equations with parameters: coupled systems with the boundary conditions of the Sturm–Liouville type and classical systems with Dirichlet boundary conditions. We discuss an Ambosetti–Prodi alternative for each system. For the first type of system, we present sufficient conditions for the existence and non-existence of its solutions, and for the second type of system, we present sufficient conditions for the existence and non-existence of a multiplicity of its solutions. Our arguments apply the lower and upper solutions method together with the properties of the Leary–Schauder topological degree theory. To the best of our knowledge, the present study is the first time that the Ambrosetti–Prodi alternative has been obtained for such systems with different parameters.
Year:
2023
Year:
2023
Year:
2023
Year:
2023
Year:
2022
Year:
2022
Collaborators (2)
Gracino Rodrigues
University of Évora
Sara Perestrelo
University of Évora
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