03810nam 2200877z- 450 991055760290332120231214133042.0(CKB)5400000000045374(oapen)https://directory.doabooks.org/handle/20.500.12854/69160(EXLCZ)99540000000004537420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMathematical and Numerical Analysis of Nonlinear Evolution EquationsAdvances and PerspectivesBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (208 p.)3-03943-272-9 3-03943-273-7 The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems, especially of living matter. First, the recent new mathematical frameworks based on generalized kinetic theory, fractional calculus, inverse theory, Schrödinger equation, and Cahn–Hilliard systems are presented and mathematically analyzed. Specifically, the well-posedness of the related Cauchy problems is investigated, stability analysis is also performed (including the possibility to have Hopf bifurcations), and some optimal control problems are presented. Second, this book is concerned with the derivation of specific models within the previous mentioned frameworks and for complex systems in biology, epidemics, and engineering. This book is addressed to graduate students and applied mathematics researchers involved in the mathematical modeling of complex systems.Mathematical and Numerical Analysis of Nonlinear Evolution Equations Research & information: generalbicsscMathematics & sciencebicsscboundednessdelayHopf bifurcationLyapunov functionalstabilitySEIQRS-V modelkinetic theoryintegro-differential equationscomplex systemsevolution equationsthermostatnonequilibrium stationary statesdiscrete Fourier transformdiscrete kinetic theorynonlinearityfractional operatorsCahn–Hilliard systemswell-posednessregularityoptimal controlnecessary optimality conditionsSchrödinger equationDavydov’s modelpartial differential equationsexact solutionsfractional derivativeabstract Cauchy problemC0−semigroupinverse problemactive particlesautoimmune diseasedegenerate equationsreal activity variableCauchy problemelectric circuit equationswardoski contractionalmost (s, q)—Jaggi-typeb—metric-like spacessecond-order differential equationsdynamical systemscompartment modelepidemicsbasic reproduction numberResearch & information: generalMathematics & scienceBianca Carloedt1327532Bianca CarloothBOOK9910557602903321Mathematical and Numerical Analysis of Nonlinear Evolution Equations3037986UNINA