A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation
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| Title: | A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation |
|---|---|
| Authors: | Djafari Rouhani, Behzad1 behzad@math.utep.edu, Khatibzadeh, Hadi2,3 hkhatibzadeh@znu.ac.ir |
| Source: | Journal of Mathematical Analysis & Applications. Mar2010, Vol. 363 Issue 2, p648-654. 7p. |
| Subjects: | Numerical solutions to evolution equations, Stochastic convergence, Integral theorems, Homogeneous spaces, Monotone operators, Asymptotic distribution, Hilbert space, Curves |
| Abstract: | Abstract: In this paper, we establish the strong convergence of possible solutions to the following nonhomogeneous second order evolution system to an element of , with an exponential rate of convergence when , where A is a general maximal monotone operator in a real Hilbert space H, is a real constant and is a given function. We show also that the curve u is almost nonexpansive, and present some applications of our result. [Copyright &y& Elsevier] |
| Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 45302166 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jmaa.2009.09.057 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 648 Subjects: – SubjectFull: Numerical solutions to evolution equations Type: general – SubjectFull: Stochastic convergence Type: general – SubjectFull: Integral theorems Type: general – SubjectFull: Homogeneous spaces Type: general – SubjectFull: Monotone operators Type: general – SubjectFull: Asymptotic distribution Type: general – SubjectFull: Hilbert space Type: general – SubjectFull: Curves Type: general Titles: – TitleFull: A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Djafari Rouhani, Behzad – PersonEntity: Name: NameFull: Khatibzadeh, Hadi IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 03 Text: Mar2010 Type: published Y: 2010 Identifiers: – Type: issn-print Value: 0022247X Numbering: – Type: volume Value: 363 – Type: issue Value: 2 Titles: – TitleFull: Journal of Mathematical Analysis & Applications Type: main |
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