A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups

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dc.contributor.authorChoudhary, Renu
dc.date.accessioned2021-07-20T18:01:18Z
dc.date.available2021-07-20T18:01:18Z
dc.date.issued2006-10-02
dc.description.abstractIt is known that a regularly Lyapounov function for a semigroup of contractions on a Hilbert space converges to its minimum along the trajectories of the semigroup. In this paper we show that this Lyapounov function nearly converges to its minimum along trajectories of the semigroup generated by a small bounded perturbation of the semigroup generator.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChoudhary, R. (2006). A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups. <i>Electronic Journal of Differential Equations, 2006</i>(120), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13993
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectMonotone
dc.subjectSemigroup
dc.subjectLyapounov function
dc.titleA stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups
dc.typeArticle

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