Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives

• Other Authors: Bianca, Carlo (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: Research & information: general; Mathematics & science; boundedness; delay; Hopf bifurcation; Lyapunov functional; stability; SEIQRS-V model; kinetic theory; integro-differential equations; complex systems; evolution equations; thermostat; nonequilibrium stationary states; discrete Fourier transform; discrete kinetic theory; nonlinearity; fractional operators; Cahn-Hilliard systems; well-posedness; regularity; optimal control; necessary optimality conditions; Schrödinger equation; Davydov's model; partial differential equations; exact solutions; fractional derivative; abstract Cauchy problem; C0−semigroup; inverse problem; active particles; autoimmune disease; degenerate equations; real activity variable; Cauchy problem; electric circuit equations; wardoski contraction; almost (s, q)-Jaggi-type; b-metric-like spaces; second-order differential equations; dynamical systems; compartment model; epidemics; basic reproduction number
• Online Access: DOAB: download the publication; DOAB: description of the publication

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 t...