LEADER 03117oam 2200913zu 450 001 9910139417203321 005 20210807004010.0 010 $a3-527-62744-8 035 $a(CKB)2500000000001719 035 $a(SSID)ssj0000507331 035 $a(PQKBManifestationID)11955303 035 $a(PQKBTitleCode)TC0000507331 035 $a(PQKBWorkID)10546805 035 $a(PQKB)11504881 035 $a(PPN)180930346 035 $a(EXLCZ)992500000000001719 100 $a20160829d2009 uy 101 0 $aeng 181 $ctxt 182 $cc 183 $acr 200 00$aHit and lead profiling : identification and optimization of drug-like molecules 210 31$a[Place of publication not identified]$cWiley VCH$d2009 225 0 $aMethods and principles in medicinal chemistry Hit and lead profiling 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-527-32331-7 606 $aDrugs$xDesign 606 $aDrugs$xStructure-activity relationships 606 $aPharmaceutical chemistry 606 $aPharmacological Phenomena 606 $aBiochemical Phenomena 606 $aPharmacological Processes 606 $aChemistry, Pharmaceutical 606 $aInvestigative Techniques 606 $aPhysiological Phenomena 606 $aAnalytical, Diagnostic and Therapeutic Techniques and Equipment 606 $aChemical Phenomena 606 $aPharmacology 606 $aChemistry 606 $aPhysiological Processes 606 $aPhenomena and Processes 606 $aNatural Science Disciplines 606 $aBiological Science Disciplines 606 $aDisciplines and Occupations 606 $aDrug Discovery 606 $aDrug Interactions 606 $aStructure-Activity Relationship 606 $aHealth & Biological Sciences$2HILCC 606 $aPharmacy, Therapeutics, & Pharmacology$2HILCC 615 0$aDrugs$xDesign 615 0$aDrugs$xStructure-activity relationships 615 0$aPharmaceutical chemistry 615 2$aPharmacological Phenomena 615 2$aBiochemical Phenomena 615 2$aPharmacological Processes 615 2$aChemistry, Pharmaceutical 615 2$aInvestigative Techniques 615 2$aPhysiological Phenomena 615 2$aAnalytical, Diagnostic and Therapeutic Techniques and Equipment 615 2$aChemical Phenomena 615 2$aPharmacology 615 2$aChemistry 615 2$aPhysiological Processes 615 2$aPhenomena and Processes 615 2$aNatural Science Disciplines 615 2$aBiological Science Disciplines 615 2$aDisciplines and Occupations 615 2$aDrug Discovery 615 2$aDrug Interactions 615 2$aStructure-Activity Relationship 615 7$aHealth & Biological Sciences 615 7$aPharmacy, Therapeutics, & Pharmacology 702 $aUrban$b Laszlo 702 $aFaller$b Bernard 801 0$bPQKB 906 $aBOOK 912 $a9910139417203321 996 $aHit and lead profiling : identification and optimization of drug-like molecules$91984013 997 $aUNINA LEADER 05254nam 2200553 450 001 996472038803316 005 20231110224141.0 010 $a9783030969738$b(electronic bk.) 010 $z9783030969721 035 $a(MiAaPQ)EBC6951410 035 $a(Au-PeEL)EBL6951410 035 $a(CKB)21502475400041 035 $a(PPN)262168146 035 $a(EXLCZ)9921502475400041 100 $a20221117d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTurnpike phenomenon and symmetric optimization problems /$fAlexander J. Zaslavski 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$dŠ2022 215 $a1 online resource (339 pages) 225 1 $aSpringer Optimization and Its Applications ;$vv.190 311 08$aPrint version: Zaslavski, Alexander J. Turnpike Phenomenon and Symmetric Optimization Problems Cham : Springer International Publishing AG,c2022 9783030969721 320 $aIncludes bibliographical references and index. 327 $aIntro -- 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 ?-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. 327 $a5.10 Two Extensions of Theorem 5.9 -- 5.11 The Turnpike Phenomenon in the Regions Close to the Right End Points -- 6 Infinite Dimensional Optimal Control -- 6.1 Preliminaries -- 6.2 The First Turnpike Result -- 6.3 The Space of Integrands -- 6.4 The Turnpike Property -- 6.5 The Second Weak Turnpike Result -- 6.6 A Well-Posedness Result -- 6.7 Stability of the Turnpike Phenomenon -- 6.8 An Auxiliary Result for Theorem 6.11 -- 6.9 Proof of Theorem 6.11 -- 6.10 Stability of the Weak Turnpike Phenomenon -- 6.11 The First Extension of Theorem 6.11 -- 6.12 The Second Extension of Theorem 6.11 -- 6.13 The Turnpike Property in the Regions Close to the Right end Points -- 7 Optimization Problems Arising in Crystallography -- 7.1 Preliminaries -- 7.2 Auxiliary Results -- 7.3 A Basic Lemma -- 7.4 Proof of Theorem 7.2 -- 7.5 A Porosity Result -- 7.6 The Set MMr is Porous -- 7.7 Auxiliary Results -- 7.8 Proof of Theorem 7.11 -- 8 Discrete Dispersive Dynamical Systems -- 8.1 Dynamical Systems with a Lyapunov Function -- 8.2 Proof of Theorem 8.1 -- 8.3 Proofs of Propositions 8.2, 8.3, and 8.5 -- 8.4 Proof of Theorem 8.6 -- 8.5 Proof of Theorem 8.7 -- 8.6 Proof of Theorem 8.9 -- 8.7 The First Weak Turnpike Result -- 8.8 An Auxiliary Result -- 8.9 Proof of Theorem 8.10 -- 8.10 The Second Weak Turnpike Result -- 8.11 An Auxiliary Result -- 8.12 Proof of Theorem 8.12 -- 8.13 Stability Results -- 8.14 An Auxiliary Result -- 8.15 Proof of Theorem 8.14 -- 8.16 Proof of Theorem 8.15 -- References -- Index. 410 0$aSpringer Optimization and Its Applications 606 $aMathematical optimization 606 $aCalculus of variations 606 $aTurnpike theory (Economics) 606 $aOptimitzaciķ matemātica$2thub 606 $aCālcul de variacions$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aTurnpike theory (Economics) 615 7$aOptimitzaciķ matemātica 615 7$aCālcul de variacions 676 $a519.6 700 $aZaslavski$b Alexander J.$0721713 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996472038803316 996 $aTurnpike Phenomenon and Symmetric Optimization Problems$92832657 997 $aUNISA