04447nam 2200493 450 99646641070331620230622195303.03-030-77704-9(CKB)5470000001298880(MiAaPQ)EBC6794558(Au-PeEL)EBL6794558(OCoLC)1281587323(PPN)258299886(EXLCZ)99547000000129888020220719d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierStudies in evolution equations and related topics /Gaston M. N'Guérékata, Bourama Toni, editorsCham, Switzerland :Springer,[2021]©20211 online resource (275 pages)STEAM-H (Series)3-030-77703-0 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 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.STEAM-H (Series)Evolution equationsEquacions d'evolucióthubLlibres electrònicsthubEvolution equations.Equacions d'evolució515.353N'Guérékata Gaston M.Toni BouramaMiAaPQMiAaPQMiAaPQBOOK996466410703316Studies in evolution equations and related topics2901696UNISA