Prof. Dr. Luis P. Castro
University of Aveiro, Aveiro, Portugal
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Academic Career Length
32Years (1995-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications2 January 2018 in Mediterranean Journal of Mathematics
Journal Article
1 January 2009 in Banach Journal of Mathematical Analysis
Journal Article
Luis P. CastroARA. Ramos
A. Ramos
Project Euclid - mathematics and statistics online
1 January 2014 in Annals of Functional Analysis
Journal Article
Luis P. CastroMHM. R. Haque
M. R. Haque
MMMd Masum Murshed
Md Masum MurshedSSS. Saitoh
S. Saitoh
NTN. M. Tuan
N. M. TuanProject Euclid - mathematics and statistics online
20 April 2018 in Mathematical Methods in the Applied Sciences
Journal Article
Luis P. CastroASAlberto Simões
Alberto Simões1 January 2017 in Filomat
Journal Article
Luis P. CastroASAlberto Simões
Alberto SimõesWe study different kinds of stabilities for a class of very general nonlinear integro-differential equations involving a function which depends on the solutions of the integro-differential equations and on an integral of Volterra type. In particular, we will introduce the notion of semi-Hyers-Ulam-Rassias stability, which is a type of stability somehow in-between the Hyers-Ulam and Hyers-Ulam-Rassias stabilities. This is considered in a framework of appropriate metric spaces in which sufficient conditions are obtained in view to guarantee Hyers-Ulam-Rassias, semi-Hyers-Ulam-Rassias and Hyers-Ulam stabilities for such a class of integro-differential equations. We will consider the different situations of having the integrals defined on finite and infinite intervals. Among the used techniques, we have fixed point arguments and generalizations of the Bielecki metric. Examples of the application of the proposed theory are included.
22 August 2016 in Wireless Personal Communications
Journal Article
About Me
Luís Filipe Pinheiro de Castro received the Diploma (Licenciatura) Degree from the University of Aveiro (UA), Portugal, in 1991, the MSc and PhD degrees in Applied Mathematics and Mathematics from IST, Technical University of Lisbon, in 1994 and 1998, respectively. In 2004, he received the Habilitation (Agregação) Degree.
Luís Castro was Vice-President of the Directive Council of Dep. of Mathematics of UA (1998-2000), Vice-President of the Directive Board of the Centre Delegation of the Portuguese Math. Society (2000-2002), President of the Scientific-Pedagogic Council of Dep. Mathematics of UA (2001-2003), Coordinator of the Scientific Committee of Dep. Mathematics of UA (2001-2003), Scientific Coordinator of the Research Unit Mathematics and Applications (2006 – 2010), Scientific Coordinator of CIDMA - Center for Research and Development in Math. and Appl. (2010-2018), Adjunct President of the Scientific Council of UA (2016-2018).
Luís Castro has been member of the Editorial Board of mathematical journals, has contributed over 150 peer-reviewed papers, and gave more than 120 talks at research seminars or international conferences. He supervised 6 Ph.D. students and served as adviser for 5 post-docs.
Luís Castro produced more than 300 reports for Zentralblatt and more than 170 reviews for MathSciNet (AMS), as well as reviews for more than 100 scientific journals.
From 2018 to 2022, he was Vice-Rector of the UA.
He has been a Full Professor of Mathematics since 2009.