Recent Advances in Differential Equations and Applications

This work gathers a selection of outstanding papers presented at the 25^th Conference on Differential Equations and Applications / 15^th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Juan Luis García Guirao is a Full Professor of Applied Mathematics at the Technical University of Cartagena, Spain. He completed his Master’s and PhD in Mathematics at the Universidad de Murcia, Spain in 2001 and 2004. Under the supervision of Professor Francisco Balibrea, Full Professor of Mathematical Analysis and founder of the Dynamical Systems Group of the Region of Murcia he defended his Master’s Thesis in 2001 and PhD Thesis in 2004. His doctoral studies also involved a research stay at the Instituto Superior Tecnico in Lisbon under the supervision of Professor José Sousa-Ramos, one of the main researchers in Dynamical Systems in Portugal. He has held several positions at different universities, including the Universidad de Alicante, Universidad de Castilla-La Mancha, Universidad Autónoma de Barcelona, and Technical University of Cartagena. In 2011, at the age of 33, he became Spain’s youngest Full Professor of Mathematics. The author of more than 100 research papers published in prominent journals, he also serves on the Editorial Board of several journals, including MATCH Commun. Math. Comput. Chem., Open Physics, and Discrete Dynamics in Nature and Society. He has received a number of awards, e.g. the NSP 2017 for researchers younger than 40 years old, and the JDEA 2017 award for the best paper published in the field of Differential Equations. In addition, he has opened three research lines: discrete dynamical systems defined in low dimensional spaces, study of the periodic structure of smooth systems using the homological Lefschetz theory and analysis of Hamiltonian systems. Applications of the previous lines to problems from the fields of economics, chemistry and engineering are also considered.