This book is devoted to the study of optimal control problems arising in forest management, an important and fascinating topic in mathematical economics studied by many researchers over the years. The volume studies the forest management problem by analyzing a class of optimal control problems that contains it and showing the existence of optimal solutions over infinite horizon. It also studies the structure of approximate solutions on finite intervals and their turnpike properties, as well as the stability of the turnpike phenomenon and the structure of approximate solutions on finite intervals in the regions close to the end points. The book is intended for mathematicians interested in the optimization theory, optimal control and their applications to the economic theory.

Develops the turnpike theory for optimal control problems arising in the forest management Establishes the existence of solutions of infinite horizon optimal control problems arising in forest management Describes structure of approximate solutions on finite intervals in the regions close to the end points

Autorentext

Alexander J. Zaslavski is professor in the Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel. He has authored numerous books with Springer, the most recent of which include Turnpike Phenomenon and Symmetric Optimization Problems (978-3-030-96972-1), Turnpike Theory for the Robinson-Solow-Srinivasan Model (978-3-030-60306-9), The Projected Subgradient Algorithm in Convex Optimization (978-3-030-60299-4), Convex Optimization with Computational Errors (978-3-030-37821-9), Turnpike Conditions in Infinite Dimensional Optimal Control (978-3-030-20177-7), Optimization on Solution Sets of Common Fixed Point Problems (978-3-030-78848-3).

Inhalt

1. Turnpike Properties.- 2. Forest Management Problem.- 3. Turnpike Properties of Approximate Solutions.- 4. Generic Turnpike Results.- 5. The Structure of Approximate Solutions on Finite Intervals.- 6. Reconsidering the Forest Management Problem.