one-parameter semigroup

[¦wən pə¦ram·əd·ər ′sem·i‚grüp]

(mathematics)

A semigroup with which there is associated a bijective mapping from the positive real numbers onto the semigroup.

References in periodicals archive ?

One-parameter semigroups for linear evolution equations.

On the admissible control operators for linear and bilinear systems and the Favard spaces

Nagel, One-parameter semigroups for linear evolution equations, Grad.

On mean ergodic semigroups of random linear operators

Nagel, One-Parameter Semigroups for Linear Evolution Equations, GTM 194, Springer, New York, 2000.

Stability of solutions to integro-differential equations in Hilbert spaces

Nagel, One-parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, 194.

Solutions to abstract integral equations and infinite delay evolution equations

Taking into account the relation between two-parameter (nonlinear) semi-flows and one-parameter semigroups (see the example above) we consider in the next a three-parameter (nonlinear) semiflow to approach and extend some well-known theorems given in the case of two-parameter evolution families.

Nagel One-parameter semigroups for linear evolution equations Springer-Verlag, Berlin, (2000).