Most dynamical systems arise from differential equations that can be represented as an abstract evolution equation on a suitable state space complemented by an initial or final condition. Thus, the system can be written as a Cauchy problem on an abstract function space with appropriate topological structures. To study the qualitative and quantitative properties of the solutions the theory of one-parameter operator semigroups is one of the most powerful tools. This approach has been used by many authors and applied to quite different fields, e.g. ordinary and partials differential equations, nonlinear dynamical systems, control theory, functional differential and Volterra equations, mathematical physics, mathematical biology, and stochastic processes. This theme issue includes papers on such semigroups and their many applications.
Semigroup applications everywhere
Abdelaziz Rhandi
2020
Abstract
Most dynamical systems arise from differential equations that can be represented as an abstract evolution equation on a suitable state space complemented by an initial or final condition. Thus, the system can be written as a Cauchy problem on an abstract function space with appropriate topological structures. To study the qualitative and quantitative properties of the solutions the theory of one-parameter operator semigroups is one of the most powerful tools. This approach has been used by many authors and applied to quite different fields, e.g. ordinary and partials differential equations, nonlinear dynamical systems, control theory, functional differential and Volterra equations, mathematical physics, mathematical biology, and stochastic processes. This theme issue includes papers on such semigroups and their many applications.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
