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BL
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| Record Number
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862532
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| Main Entry
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Zaslavski, Alexander J.
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| Title & Author
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Optimal control problems arising in forest management /\ Alexander J. Zaslavski.
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| Publication Statement
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Cham :: Springer,, [2019]
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| Series Statement
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SpringerBriefs in Optimization
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| Page. NO
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1 online resource (viii, 136 pages)
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| ISBN
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3030235866
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: 3030235874
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: 3030235882
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: 9783030235864
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: 9783030235871
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: 9783030235888
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9783030235864
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Intro; Preface; Contents; 1 Introduction; 1.1 Convex Discrete-Time Problems; 1.2 The Turnpike Phenomenon; 2 Infinite Horizon Optimal Control Problems; 2.1 The Forest Management Problem; 2.2 Infinite Horizon Problems Without Discounting; 2.3 Auxiliary Results; 2.4 Proofs of Theorems 2.6 and 2.7; 2.5 Proof of Theorem 2.9; 2.6 Proof of Theorem 2.10; 2.7 Infinite Horizon Problems with Discounting; 2.8 An Auxiliary Result for Theorem 2.13; 2.9 Proof of Theorem 2.13; 2.10 An Application to the Forest Management Problem; 3 Turnpike Properties; 3.1 Preliminaries and Main Results; 3.2 Auxiliary Results; 3.3 Proof of Theorem 3.2; 3.4 Proof of Theorem 3.3; 3.5 Proof of Theorem 3.4; 3.6 Proof of Theorem 3.5; 3.7 Proof of Theorem 3.6; 3.8 Stability Results;
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3.9 Agreeable Programs; 4 Generic Turnpike Properties; 4.1 Preliminaries; 4.2 Equivalence of the Turnpike Properties; 4.3 Generic Results; 5 Structure of Solutions in the Regions Close to the Endpoints; 5.1 Preliminaries; 5.2 Lagrange Problems; 5.3 An Auxiliary Result for Theorem 5.13; 5.4 Proof of Theorem 5.13; 5.5 The First Class of Bolza Problems; 5.6 An Auxiliary Result for Theorem 5.15; 5.7 Proof of Theorem 5.15; 5.8 The Second Class of Bolza Problems; 5.9 Auxiliary Results for Theorem 5.17; 5.10 Proof of Theorem 5.17; 6 Applications to the Forest Management Problem; 6.1 Preliminaries; 6.2 Auxiliary Results; 6.3 Turnpike Results; 6.4 Generic Results; References; Index.
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| Abstract
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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.
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| Subject
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Forest management-- Statistical methods.
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| Subject
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Forest management-- Statistical methods.
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| Dewey Classification
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634.9/2
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| LC Classification
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QA315-316QA402.3QA40
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SD431
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