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[null,"1.","Record Nr.",null,"UNISALENTO991001153259707536"]
[null,null,"Autore",null,"Gray, Alfred"]
[null,null,"Titolo",null,"Modern differential geometry of curves and surfaces with Mathematica / Alfred Gray"]
[null,null,"Pubbl/distr/stampa",null,"Boca Raton : CRC Press, c1998"]
[null,null,"ISBN",null,"0849371643"]
[null,null,"Edizione",null,"[2nd ed.]"]
[null,null,"Descrizione fisica",null,"xxiv, 1053 p. : ill. ; 26 cm"]
[null,null,"Classificazione",null,"AMS 53-01"]
[{"$nulls":4},"AMS 53-04"]
[{"$nulls":4},"LC QA641.G72"]
[null,null,"Disciplina",null,"516.36"]
[null,null,"Soggetti",null,"Differential geometry - Data processing"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes bibliographical references (p. 1005-1020) and indexes"]
[null,"2.","Record Nr.",null,"UNISA996472038803316"]
[null,null,"Autore",null,"Zaslavski Alexander J."]
[null,null,"Titolo",null,"Turnpike phenomenon and symmetric optimization problems / / Alexander J. Zaslavski"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9783030969738"]
[{"$nulls":4},"9783030969721"]
[null,null,"Descrizione fisica",null,"1 online resource (339 pages)"]
[null,null,"Collana",null,"Springer Optimization and Its Applications ; ; v.190"]
[null,null,"Disciplina",null,"519.6"]
[null,null,"Soggetti",null,"Mathematical optimization"]
[{"$nulls":4},"Calculus of variations"]
[{"$nulls":4},"Turnpike theory (Economics)"]
[{"$nulls":4},"Optimització matemàtica"]
[{"$nulls":4},"Càlcul de variacions"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Generic Existence of Solutions of Minimization Problems -- 1.2 Optimization Problems Arising in Crystallography -- 1.3 Symmetric Optimization Problems -- 1.4 Turnpike Property for Variational Problems -- 1.5 Variational Problems with Symmetric Integrands -- 1.6 Notation -- 1.7 Exercises -- 2 Symmetric Optimization Problems -- 2.1 A Generic Approach in Optimization -- 2.2 A Generic Variational Principle -- 2.3 The First Generic Result -- 2.4 The Second and Third Generic Results -- 2.5 Proofs of Theorems 2.5 and 2.6 -- 2.6 The Fourth Result -- 2.7 The Fifth Generic Result -- 2.8 Auxiliary Results for Theorems 2.14 and 2.15 -- 2.9 Proof of Theorems 2.14 and 2.15 -- 2.10 σ-Porous Sets in a Metric Space -- 2.11 A Variational Principle and Porosity -- 2.12 Well-Posedness and Porosity for Classes of Minimization Problems -- 2.13 An Auxiliary Result -- 2.14 A Well-Posedness Result -- 2.15 An Extension of Theorem 2.4 -- 2.16 Extensions of Theorems 2.5 and 2.6 -- 2.17 Extension of Theorem 2.10 -- 2.18 An Extension of Theorem 2.14 -- 3 Parametric Optimization -- 3.1 Generic Variational Principle -- 3.2 Concretization of the Hypothesis (H) -- 3.3 The First Generic Existence Results -- 3.4 The Second Generic Existence Result -- 4 "]
[{"$nulls":4},"Infinite Dimensional Control -- 4.1 Banach Space Valued Functions -- 4.2 Unbounded Operators -- 4.3 C0 Semigroup -- 4.4 Evolution Equations -- 4.5 C0 Groups -- 4.6 Admissible Control Operators -- 4.7 Examples -- 5 Symmetric Variational Problems -- 5.1 Preliminaries -- 5.2 The First Weak Turnpike Result -- 5.3 Auxiliary Results for the Turnpike Property -- 5.4 A Turnpike Result -- 5.5 The Second Weak Turnpike Result -- 5.6 The Space of Integrands -- 5.7 Auxiliary Results for Theorem 5.9 -- 5.8 Proof of Theorem 5.9 -- 5.9 Stability of the Weak Turnpike."]
[{"$nulls":4},"5.10 Two Extensions of Theorem 5.9 -- 5.11 The Turnpike Phenomenon in the Regions Close to the Right End Points -- 6 Infinite Dimensional Optimal Control -- 6.1 Preliminaries -- 6.2 The First Turnpike Result -- 6.3 The Space of Integrands -- 6.4 The Turnpike Property -- 6.5 The Second Weak Turnpike Result -- 6.6 A Well-Posedness Result -- 6.7 Stability of the Turnpike Phenomenon -- 6.8 An Auxiliary Result for Theorem 6.11 -- 6.9 Proof of Theorem 6.11 -- 6.10 Stability of the Weak Turnpike Phenomenon -- 6.11 The First Extension of Theorem 6.11 -- 6.12 The Second Extension of Theorem 6.11 -- 6.13 The Turnpike Property in the Regions Close to the Right end Points -- 7 Optimization Problems Arising in Crystallography -- 7.1 Preliminaries -- 7.2 Auxiliary Results -- 7.3 A Basic Lemma -- 7.4 Proof of Theorem 7.2 -- 7.5 A Porosity Result -- 7.6 The Set MMr is Porous -- 7.7 Auxiliary Results -- 7.8 Proof of Theorem 7.11 -- 8 Discrete Dispersive Dynamical Systems -- 8.1 Dynamical Systems with a Lyapunov Function -- 8.2 Proof of Theorem 8.1 -- 8.3 Proofs of Propositions 8.2, 8.3, and 8.5 -- 8.4 Proof of Theorem 8.6 -- 8.5 Proof of Theorem 8.7 -- 8.6 Proof of Theorem 8.9 -- 8.7 The First Weak Turnpike Result -- 8.8 An Auxiliary Result -- 8.9 Proof of Theorem 8.10 -- 8.10 The Second Weak Turnpike Result -- 8.11 An Auxiliary Result -- 8.12 Proof of Theorem 8.12 -- 8.13 Stability Results -- 8.14 An Auxiliary Result -- 8.15 Proof of Theorem 8.14 -- 8.16 Proof of Theorem 8.15 -- References -- Index."]