Control Systems and Mathematical Methods in Economics

Essays in Honor of Vladimir M. Veliov

  • Gustav Feichtinger
  • Raimund M. Kovacevic
  • Gernot Tragler

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 687)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Mathematical Methods

    1. Front Matter
      Pages 1-1
    2. Asen L. Dontchev
      Pages 3-13
    3. Fausto Gozzi, Roberto Monte, M. Elisabetta Tessitore
      Pages 81-96
    4. Mikhail I. Krastanov, Nadezhda K. Ribarska
      Pages 97-117
    5. Stanislav Harizanov, Svetozar Margenov
      Pages 147-163
    6. Andrei V. Dmitruk, Nikolai P. Osmolovskii
      Pages 165-194
  3. Economics and Environmental Models

    1. Front Matter
      Pages 195-195
    2. Pavol Brunovský, Margaréta Halická, Mario Mitas
      Pages 267-278
    3. Herbert Dawid, Richard F. Hartl, Peter M. Kort
      Pages 279-296
  4. Population Dynamics and Spatial Models

    1. Front Matter
      Pages 297-297
    2. Raouf Boucekkine, Blanca Martínez, J. Ramon Ruiz-Tamarit
      Pages 321-347
    3. Miguel Sánchez-Romero, Stefan Wrzaczek, Alexia Prskawetz, Gustav Feichtinger
      Pages 349-375
    4. Séverine Bernard, Ténissia Cesar, Alain Pietrus
      Pages 377-390
    5. Anastasios Xepapadeas, Athanasios N. Yannacopoulos
      Pages 391-418
    6. Laura-Iulia Aniţa, Sebastian Aniţa, Vincenzo Capasso, Ana-Maria Moşneagu
      Pages 419-439

About this book


Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing – not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few scholars, however, have been able to make contributions to both the mathematical developments and the (socio-)economic applications; Vladimir Veliov is one of them. In the course of his scientific career, he has contributed highly influential research on mathematical aspects of Optimal Control Theory, as well as applications in Economics and Operations Research. One of the hallmarks of his research is its impressive breadth. This volume, published on the occasion of his 65th birthday, accurately reflects that diversity.

The mathematical aspects covered include stability theory for difference inclusions, metric regularity, generalized duality theory, the Bolza problem from a functional analytic perspective, and fractional calculus. In turn, the book explores various applications of control theory, such as population dynamics, population economics, epidemiology, optimal growth theory, resource and energy economics, environmental management, and climate change. Further topics include optimal liquidity, dynamics of the firm, and wealth inequality.


Optimal Control Economic Applications Operations Research Population Dynamics Climate Change Environment Green Energy Resource Management

Editors and affiliations

  • Gustav Feichtinger
    • 1
  • Raimund M. Kovacevic
    • 2
  • Gernot Tragler
    • 3
  1. 1.Operations Research and Control SystemsVienna University of Technology ViennaAustria
  2. 2.Operations Research and Control SystemsVienna University of TechnologyViennaAustria
  3. 3.Operations Research and Control SystemsVienna University of TechnologyViennaAustria

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