one-parameter semigroup

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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 ?
We show that the closed-loop system generates a C0-semigroup of bounded linear operators and obtain the well-posedness of the system.
If the operator A generates a C0-semigroup T(t) on H, then (5) has a unique solution, which is equivalent to the unique solution to (2) or (3) exists.
For any k [not equal to] 0, there exists [t.sub.0] > 0 such that the C0-semigroup (T(f))ta0 is compact for t > [t.sub.0].
Therefore, by Corollary 2.3.4 of [20], the C0-semigroup [(T(f)).sub.t[greater than or equal to]0] is compact for t > [t.sub.0].