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035   $a(CKB)5400000000045374
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/69160
035   $a(EXLCZ)995400000000045374
100   $a20202105d2020      |y             0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematical and Numerical Analysis of Nonlinear Evolution Equations$eAdvances and Perspectives
210   $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020
215   $a1 electronic resource (208 p.)
311   $a3-03943-272-9 
311   $a3-03943-273-7 
330   $aThe 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.
517   $aMathematical and Numerical Analysis of Nonlinear Evolution Equations 
606   $aResearch & information: general$2bicssc
606   $aMathematics & science$2bicssc
610   $aboundedness
610   $adelay
610   $aHopf bifurcation
610   $aLyapunov functional
610   $astability
610   $aSEIQRS-V model
610   $akinetic theory
610   $aintegro-differential equations
610   $acomplex systems
610   $aevolution equations
610   $athermostat
610   $anonequilibrium stationary states
610   $adiscrete Fourier transform
610   $adiscrete kinetic theory
610   $anonlinearity
610   $afractional operators
610   $aCahn?Hilliard systems
610   $awell-posedness
610   $aregularity
610   $aoptimal control
610   $anecessary optimality conditions
610   $aSchrödinger equation
610   $aDavydov?s model
610   $apartial differential equations
610   $aexact solutions
610   $afractional derivative
610   $aabstract Cauchy problem
610   $aC0?semigroup
610   $ainverse problem
610   $aactive particles
610   $aautoimmune disease
610   $adegenerate equations
610   $areal activity variable
610   $aCauchy problem
610   $aelectric circuit equations
610   $awardoski contraction
610   $aalmost (s, q)?Jaggi-type
610   $ab?metric-like spaces
610   $asecond-order differential equations
610   $adynamical systems
610   $acompartment model
610   $aepidemics
610   $abasic reproduction number
615  7$aResearch & information: general
615  7$aMathematics & science
700   $aBianca$b Carlo$4edt$01327532
702   $aBianca$b Carlo$4oth
906   $aBOOK
912   $a9910557602903321
996   $aMathematical and Numerical Analysis of Nonlinear Evolution Equations$93037986
997   $aUNINA