one-parameter semigroup

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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).
Some results on the qualitative theory of semiflows
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