For the third Edition of the “Dimitrie Pompeiu” Prize, the Editorial Board considered around twenty eligible proposals. The following seven papers (listed
in the publication order) were selected for the final evaluation process:
a) DYNAMICS AND CONTROL OF AN INTEGRO-DIFFERENTIAL SYSTEM OF GEOGRAPHICAL ECONOMICS, by Sebastian Anita, Vincenzo
Capasso, Herb Kunze, Davide La Torre, Vol. 7, No. 1/2015.
b) POD-DEIM APPROACH ON DIMENSION REDUCTION OF A MULTISPECIES HOST-PARASITOID SYSTEM, by Gabriel Dimitriu, Razvan
Stefanescu, Ionel M. Navon, Vol. 7, No. 1/2015.
c) A POSTERIORI ERROR IDENTITIES FOR NONLINEAR VARIATIONAL PROBLEMS, by Pekka Neittaanmaki, Sergey Repin, Vol. 7, No. 1/2015.
d) HIGHER ORDER BOUNDARY VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL INCLUSIONS by Johnny Henderson, Abdelghani Ouahab, Samia Youcefi, Vol. 7, No. 2/2015.
e) RANDOM FUNCTIONAL EVOLUTION EQUATIONS WITH STATEDEPENDENT DELAY, by Amel Benaissa, Mouffak Benchohra, Juan J. Nieto, Vol. 9, No. 2/2017.
f) ON SPLIT EQUILIBRIUM PROBLEM, VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM FOR MULTI-VALUED MAPPINGS by Chibueze Christian Okeke, Oluwatosin Temitope Mewomo, Vol. 9, No. 2/2017.
g) COMBINATORICS OF HANKEL RELATIONS by Gioia Failla, Vol. 9, No. 2/2017.
An international Comission of specialists has examined the papers and has decided to attribute the third „Dimitrie Pompeiu” Prize, consisting in 1000 Euro and a Certificate, to the paper a) authored by Sebastian Anita, Vincenzo Capasso, Herb Kunze, Davide La Torre. Moreover, it was decided to offer a Special Award, consisting in a Certificate, to the paper g) authored by Gioia Failla.
The Commission noted that the paper a) is a contribution to the fast developing field of new economic models that are inspired by the neoclassical theory. The authors consider a model, where macroeconomic and environmental aspects are merged. They introduce a new type of production function and come up with a
coupled control system of two nonlinear parabolic integro-PDEs. Main emphasis is laid on the qualitative behaviour of the solution as the time goes to infinity. Finally, an optimal harvesting problem is solved by a gradient type method. The paper is very well written and contributes to an interesting problem of neoclassical economy. It includes a new mathematical model, a novel analysis of qualitative behaviour and numerical results to a related optimal control problem.
The author of the paper g), G. Failla is a young and very promising researcher. The Hankel variety of the Hankel planes is considered and the question is to find the defining equations. The paper uses a procedure of small steps to derive more partial relations and may be the starting point for a systematic study of the effective relations of H(2; n), for any n. The arguments are rather involved and original and contribute to the solution of an open problem. It is also interesting that the theoretical results are confirmed by using a software.
In their answer, the recipients of the „Dimitrie Pompeiu” Prize said: we wish to thank the Selection Committee for such a prestigious recognition; on one side we feel extremely proud for the personal honour, on the other side this recognition will open to a larger audience the relevance of Mathematics with respect to the crucial scientific topic related to environmental concern.We are grateful to the Editors of the Journal “Mathematics and its Applications”, of the Academy of Romanian Scientists for having offered us the opportunity to honour our friend and coauthor Viorel Arnautu, whose premature loss has not been filled yet. In particular we have been given the opportunity to dedicate to the memory of Viorel this work which has been motivated by the environmental concern, increasingly evidenced in recent literature and public documents. In this paper we have analyzed the negative impact of induced pollution on the environment, by human production activities, in the context of geographical economics. In a series of papers on the same topics, we have, in particular, relaxed typical assumptions in current literature, to show that it is possible to predict the so called „poverty traps”, which affect less favoured countries of the planet. In this framework we have then formulated and solved an optimal control problem, for a representative agent who wishes to maximize his intertemporal utility, subject to the constraints deriving by the proposed dynamical system.
G. Failla replied: I would like to express my appreciation to the international Commission for the great work to select the papers and in particular to the Editorial Board that contributes to the publication of the Journal. It is really a great honor for me to receive a Special Award from the Academy of Romanian Scientists, Bucharest. Certainly, this significant result will help me in my scientific growth.
The Editorial Board