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170112s2017 nyua ob 001 0 eng |
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|a 2017001444
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|a DLC
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|a 9781536108736
|q (electronic book)
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|a 1536108731
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|z 9781536108613
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|b .E44 2017
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|a 515/.35
|2 23
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|a UAMI
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|a Emerging concepts in evolution equations /
|c Carolyn Murphy, editor.
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|a New York :
|b Nova Science Publishers, Inc.,
|c [2017]
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300 |
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|a 1 online resource (viii, 97 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b n
|2 rdamedia
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|a online resource
|b nc
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|a Mathematics research developments
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|a Includes bibliographical references and index.
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|a EMERGING CONCEPTS IN EVOLUTION EQUATIONS ; EMERGING CONCEPTS IN EVOLUTION EQUATIONS ; CONTENTS ; PREFACE; Chapter1THEEVOLUTIONEQUATIONOFLIE-TYPEFORFINITEDEFORMATIONSANDITSTIME-DISCRETEINTEGRATION; Abstract; 1. Introduction; 2. KinematicsofFiniteDeformation; 2.1. LieGroupofTransformations; 2.2. ConfigurationSpaceSym+(N)asaHomogeneousSpace; 2.3. LieAlgebrasgl(N)ando(N)andLieTripleSystemsym(N); 3. EvolutionEquationofLie-typeforFiniteDeformations; 3.1. GeometricalInterpretation; 3.2. SolvingStrategy; 4. EquationofLie-TypeontheLieAlgebra; 4.1. Equation@Ct=DTtCt+CtDt; 4.2. Equation@Ct=2Ut¡DtUt.
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|a 4.3. Equation@Ft=LtFt5. Runge-Kutta-Munthe-KaasMethod; 6. MagnusandFerExpansionMethod; 6.1. MagnusExpansionMethod; 6.2. FerExpansionMethod; Conclusion; References; Chapter2NEWAPPLICATIONSOFSYMMETRYANALYSISTONONLINEAREVOLUTIONEQUATIONS; Abstract; 1. Introduction; 2. ContactGroupClassificationofNonlinearEvolutionEquations:Semi-SimpleGroups; 2.1. AdmissibleTransformationsofEvolutionEquations; 2.2. EquationsInvariantunderSemi-SimpleLieAlgebras; 2.3. EquationsInvariantundertheAlgebrasHavingNontrivialLeviFactor; 2.3.1. DirectSumsofSemi-SimpleandSolvableLieAlgebras.
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|a 2.3.2. Semi-DirectSumsofSemi-SimpleandSolvableLieAlgebras3. SymmetriesandExactSolutionsoftheTimeFractionalHarry-DymEquationwiththeRiemann-LiouvilleDerivative; 3.1. Preliminaries; 3.2. LieSymmetriesandOptimalSystemfortheFractionalHDEquation; 3.3. SimilarityReductionsoftheFractionalHDEquation; Conclusion; References; Chapter3AMETHODFOREXPONENTIALLYSTABILIZINGACLASSOF1-DPDES; Abstract; 1. FormulationoftheControlProblem; 2. Preliminaries; 2.1ExponentialStabilityinSemigroupsContext; 2.2SystemTransformation; 2.3SemigroupsRepresentationoftheTargetSystem; 3. ExponentialStabilizationoftheTargetSystem.
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|a 4. ExponentialStabilizationoftheInitialSystemConclusion; References; INDEX ; Blank Page.
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|a Online resource; title from digital title page (viewed on June 12, 2017).
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Evolution equations.
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650 |
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|a Evolution equations, Nonlinear.
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650 |
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|a Differential equations, Partial.
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650 |
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|a Équations d'évolution.
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650 |
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|a Équations d'évolution non linéaires.
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650 |
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|a Équations aux dérivées partielles.
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650 |
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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650 |
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7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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650 |
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7 |
|a Differential equations, Partial.
|2 fast
|0 (OCoLC)fst00893484
|
650 |
|
7 |
|a Evolution equations.
|2 fast
|0 (OCoLC)fst00917332
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650 |
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7 |
|a Evolution equations, Nonlinear.
|2 fast
|0 (OCoLC)fst00917335
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700 |
1 |
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|a Murphy, Carolyn
|c (Writer on mathematics),
|e editor.
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776 |
0 |
8 |
|i Print version:
|t Emerging concepts in evolution equations.
|d Hauppauge, New York : Nova Science Publishers, Inc., [2017]
|z 9781536108613
|w (DLC) 2017000721
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830 |
|
0 |
|a Mathematics research developments series.
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856 |
4 |
0 |
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938 |
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|a ProQuest Ebook Central
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