00976nam2 22002653i 450 VAN026287420230904012109.77188-14-11706-320230904d2005 |0itac50 baitaIT|||| |||||ˆ1: ‰Artt. 2643-2739a cura di Giuseppe FinocchiaroMilanoGiuffrè2005XXVIII, 739 p.25 cm001VAN00015652001 ˆLibro 6.: ‰Della tutela dei diritti.1MilanoVANL000284FinocchiaroGiuseppeVANV004923340Giuffrè <editore>VANV109181650ITSOL20230908RICABIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZAIT-CE0105VAN00VAN0262874BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZA00CONS XV.D.84 2643-2739 00 31201 20230904 Artt. 2643-27393434263UNICAMPANIA05254nam 2200553 450 99647203880331620231110224141.09783030969738(electronic bk.)9783030969721(MiAaPQ)EBC6951410(Au-PeEL)EBL6951410(CKB)21502475400041(PPN)262168146(EXLCZ)992150247540004120221117d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierTurnpike phenomenon and symmetric optimization problems /Alexander J. ZaslavskiCham, Switzerland :Springer,[2022]©20221 online resource (339 pages)Springer Optimization and Its Applications ;v.190Print version: Zaslavski, Alexander J. Turnpike Phenomenon and Symmetric Optimization Problems Cham : Springer International Publishing AG,c2022 9783030969721 Includes bibliographical references and index.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 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.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.Springer Optimization and Its Applications Mathematical optimizationCalculus of variationsTurnpike theory (Economics)Optimització matemàticathubCàlcul de variacionsthubLlibres electrònicsthubMathematical optimization.Calculus of variations.Turnpike theory (Economics)Optimització matemàticaCàlcul de variacions519.6Zaslavski Alexander J.721713MiAaPQMiAaPQMiAaPQ996472038803316Turnpike Phenomenon and Symmetric Optimization Problems2832657UNISA01660nas 2200409 n 450 99000901602040332120240229084543.00220-8482000901602FED01000901602(Aleph)000901602FED01000901602CNRP 0002798920161109b19781985km-y0itaa50------bafreFRauu--------<<Le >>Nouvel automatisme1978-1985ParisGroupe Tests0010008914822001Automatisme2001Bureaux d'études automatismes<<Le >>Nouvel automatisme658.5681.31004ITACNP20090723http://acnp.cib.unibo.it/cgi-ser/start/it/cnr/dc-p1.tcl?catno=18398&person=false&language=ITALIANO&libr=&libr_th=unina1Biblioteche che possiedono il periodicoSE990009016020403321Biblioteca Centrale "F. Gasparini". Facoltà di Ingegneria. Università degli Studi di Napoli "Federico II"1978;1980-1985.dIXh10FINBC FINAGFINBCFINAGNouvel automatisme789737UNINA866-01NA104 Biblioteca Centrale "F. Gasparini". Facoltà di Ingegneria. Università degli Studi di Napoli "Federico II"dIXh10p.le Tecchio,80, 80125 Napoli (NA)0817682190;08176821950817682188itacnp.cib.unibo.itACNP Italian Union Catalogue of Serialshttp://acnp.cib.unibo.it/cgi-ser/start/it/cnr/df-p.tcl?catno=18398&language=ITALIANO&libr=&person=&B=1&libr_th=unina&proposto=NO