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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aNecessary conditions in dynamic optimization /$fFrancis Clarke
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005]
210  4$dİ2005
215   $a1 online resource (130 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 816
300   $a"Volume 173, number 816 (first of 5 numbers)."
311   $a0-8218-3591-2 
320   $aIncludes bibliographical references (pages 105-110) and index.
327   $a""Contents""; ""1 Introduction""; ""1.1 Classical necessary conditions""; ""1.2 Differential inclusions""; ""1.3 Nonsmooth analysis""; ""1.4 Notes""; ""2 Boundary Trajectories""; ""2.1 A preparation theorem""; ""2.2 An integral cost functional""; ""2.3 A general theorem on boundary trajectories""; ""2.4 Proof of the theorem""; ""2.5 Two variants of the theorem""; ""2.6 Notes""; ""3 Differential Inclusions""; ""3.1 Stratified necessary conditions""; ""3.2 On the tempered growth condition""; ""3.3 The case of a weak local minimum""; ""3.4 The second Erdmann condition""
327   $a""3.5 Proximal criteria for pseudo-Lipschitzness""""3.6 Notes""; ""4 The Calculus of Variations""; ""4.1 Stratified necessary conditions""; ""4.2 A classical multiplier rule""; ""4.3 Generalized Tonelli-Morrey integrands""; ""4.4 Finite Lagrangians""; ""4.5 Three regularity theorems""; ""4.6 Notes""; ""5 Optimal Control of Vector Fields""; ""5.1 A stratified maximum principle""; ""5.2 Indirect criteria for pseudo-Lipschitzness""; ""5.3 A hybrid maximum principle""; ""5.4 Notes""; ""6 The Hamiltonian inclusion""; ""6.1 Boundary trajectories""; ""6.2 Notes""; ""Bibliography""; ""Index""; ""A""
327   $a""B""""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W""
410  0$aMemoirs of the American Mathematical Society ;$vno. 816.
606   $aHamiltonian systems
606   $aMathematical optimization
608   $aElectronic books.
615  0$aHamiltonian systems.
615  0$aMathematical optimization.
676   $a510 s
676   $a515/.39
700   $aClarke$b Francis$f1948-$030972
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480621903321
996   $aNecessary conditions in dynamic optimization$92182582
997   $aUNINA