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Record Nr. |
UNISA996466410703316 |
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Titolo |
Studies in evolution equations and related topics / / Gaston M. N'Guérékata, Bourama Toni, editors |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (275 pages) |
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Collana |
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Disciplina |
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Soggetti |
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Evolution equations |
Equacions d'evolució |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Preface -- Acknowledgements -- Contents -- Contributors -- Evolution Equations: Present and Future -- Invariant Stable Manifolds of E-Class for Partial Neutral Functional Differential Equations on a Half-Line -- 1 Introduction -- 2 Stable Manifolds of E-Class -- 3 Center-Stable Manifolds of E-Class -- References -- Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type -- 1 Introduction -- 2 Well-Posedness of Eq.(1.1) in the Alpha-Norm -- 3 A Global Attractor for Partial Neutral Functional Differential Equations -- 4 Partial Functional Differential Equations with Infinite Delay -- 5 Application -- References -- A Study of an Epidemic SIR Model via Homotopy Analysis Method in the Sense of Caputo-Fractional System -- 1 Introduction -- 2 Preliminaries -- 2.1 Definition and Theorem -- 3 Homotopy Analysis Method (HAM) -- 4 Equilibrium Points and Their Asymptotic Stability -- 5 Numerical Simulation -- 6 Conclusion -- References -- Structural Stability of Nonlinear Elliptic p(u)-Laplacian Problem with Robin Type Boundary Condition -- 1 Introduction -- 2 Preliminary -- 3 Weak Solution -- 4 Continuous Dependence for the Weak Solution -- References -- Optimal Control of Averaged State of a Population Dynamics Model -- 1 Introduction -- 2 Preliminary Results -- 3 Existence and Characterization of the Control -- 4 Conclusion -- References -- C0-Semigroup and Stepanov-Like |
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Almost Automorphic Functions in Matched Spaces of Time Scales -- 1 Introduction -- 2 C0-Semigroup on a Quantum Time Scale -- 3 Stepanov-Like Almost Automorphic Functions on a Quantum Time Scale -- 4 Weak Almost Automorphy on a Quantum Time Scale -- 5 Shift-Semigroup Under Matched Spaces of Time Scales -- 6 Stepanov-Like Almost Automorphic Functions in Matched Spaces of Time Scales -- References. |
A Reaction-Diffusion Model for Salmonella Transmission Within an Industrial Hens House with Distributed Resistance to Salmonella Carrier State -- 1 Introduction -- 1.1 Biological Problem -- 1.2 Mathematical Problem -- 2 The Model and Well-Posedness -- 2.1 Model Formulation -- 2.2 Well-Posedness of (2.6) -- 3 The Basic Reproduction Number -- 4 Threshold Dynamics -- 5 A Special Case -- 5.1 The Basic Reproduction Number -- 5.2 Global Attractivity of the Endemic Equilibrium -- 6 Impact of Heterogeneities on R0 -- 7 Concluding Remarks -- References -- Impulsive Implicit Caputo Fractional q-Difference Equations in Finite- and Infinite-Dimensional Banach Spaces -- 1 Introduction -- 2 Preliminaries -- 3 Existence Results in the Scalar Case -- 4 Existence Results in Banach Spaces -- 5 Examples -- References -- Null Controllability of a Degenerate Cascade Model in Population Dynamics -- 1 Introduction -- 2 Well-Posedness and Carleman Estimates -- 2.1 Well-Posedness Result -- 2.2 Carleman Inequality Results -- 3 Observability Inequality and Null Controllability Result -- 3.1 Observability Inequality Result -- 3.2 Null Controllability Result -- 4 Appendix -- Dedication -- References. |
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