Existence of continuous solutions for an iterative functional series equation with variable coefficients
We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type where H i ’s and F are given functions and λ i ’s are nonnegative functions such that on [ a , b ]. Stability of the solution is also discussed.
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| Veröffentlicht in: | Aequationes mathematicae 2009-10, Vol.78 (1-2), p.167-176 |
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| container_issue | 1-2 |
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| container_title | Aequationes mathematicae |
| container_volume | 78 |
| creator | Murugan, Veerapazham Subrahmanyam, Papagudi Venkatachalam |
| description | We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type
where H
i
’s and
F
are given functions and λ
i
’s are nonnegative functions such that
on [
a
,
b
]. Stability of the solution is also discussed. |
| doi_str_mv | 10.1007/s00010-009-2960-3 |
| format | Article |
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where H
i
’s and
F
are given functions and λ
i
’s are nonnegative functions such that
on [
a
,
b
]. Stability of the solution is also discussed.</description><identifier>ISSN: 0001-9054</identifier><identifier>EISSN: 1420-8903</identifier><identifier>DOI: 10.1007/s00010-009-2960-3</identifier><identifier>CODEN: AEMABN</identifier><language>eng</language><publisher>Basel: Birkhäuser-Verlag</publisher><subject>Analysis ; Combinatorics ; Mathematics ; Mathematics and Statistics</subject><ispartof>Aequationes mathematicae, 2009-10, Vol.78 (1-2), p.167-176</ispartof><rights>Birkhäuser Verlag, Basel 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c374t-528969a07848448a8d4b83a30b9aae98451397a751a858ead6d87fd0602fc973</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00010-009-2960-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00010-009-2960-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27922,27923,41486,42555,51317</link.rule.ids></links><search><creatorcontrib>Murugan, Veerapazham</creatorcontrib><creatorcontrib>Subrahmanyam, Papagudi Venkatachalam</creatorcontrib><title>Existence of continuous solutions for an iterative functional series equation with variable coefficients</title><title>Aequationes mathematicae</title><addtitle>Aequat. Math</addtitle><description>We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type
where H
i
’s and
F
are given functions and λ
i
’s are nonnegative functions such that
on [
a
,
b
]. Stability of the solution is also discussed.</description><subject>Analysis</subject><subject>Combinatorics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>0001-9054</issn><issn>1420-8903</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp1kUtrHDEQhEVIwBsnP8A3kYBvk7RGmpF0DMaPgCEX34V2tmXLjCVbrfHj31vD-mACPjXd9XVBUYwdCfglAPRvAgABHYDtejtCJz-xjVA9dMaC_Mw2q9xZGNQB-0p027Zea7lhN6fPkSqmCXkOfMqpxrTkhTjleakxJ-IhF-4TjxWLr_EReVjStEp-5oQlInF8WPx64U-x3vBHX6LfztjsMIQ4RUyVvrEvwc-E39_mIbs6O706uegu_53_Pflz2U1Sq9oNvbGj9aCNMkoZb3Zqa6SXsLXeozVqENJqrwfhzWDQ78ad0WEHI_RhsloesuO97X3JDwtSdXeRJpxnn7DFcnKAcZRCNPDHf-BtXkrLRK6HwSiptGzQz48gMcjGSWVMo8SemkomKhjcfYl3vrw4AW5tx-3bca0dt7bjVud-_0ONTddY3jl_-PQKFQOSOA</recordid><startdate>20091001</startdate><enddate>20091001</enddate><creator>Murugan, Veerapazham</creator><creator>Subrahmanyam, Papagudi Venkatachalam</creator><general>Birkhäuser-Verlag</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20091001</creationdate><title>Existence of continuous solutions for an iterative functional series equation with variable coefficients</title><author>Murugan, Veerapazham ; Subrahmanyam, Papagudi Venkatachalam</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c374t-528969a07848448a8d4b83a30b9aae98451397a751a858ead6d87fd0602fc973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Analysis</topic><topic>Combinatorics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Murugan, Veerapazham</creatorcontrib><creatorcontrib>Subrahmanyam, Papagudi Venkatachalam</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Aequationes mathematicae</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Murugan, Veerapazham</au><au>Subrahmanyam, Papagudi Venkatachalam</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Existence of continuous solutions for an iterative functional series equation with variable coefficients</atitle><jtitle>Aequationes mathematicae</jtitle><stitle>Aequat. Math</stitle><date>2009-10-01</date><risdate>2009</risdate><volume>78</volume><issue>1-2</issue><spage>167</spage><epage>176</epage><pages>167-176</pages><issn>0001-9054</issn><eissn>1420-8903</eissn><coden>AEMABN</coden><abstract>We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type
where H
i
’s and
F
are given functions and λ
i
’s are nonnegative functions such that
on [
a
,
b
]. Stability of the solution is also discussed.</abstract><cop>Basel</cop><pub>Birkhäuser-Verlag</pub><doi>10.1007/s00010-009-2960-3</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | Aequationes mathematicae, 2009-10, Vol.78 (1-2), p.167-176 |
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| language | eng |
| recordid | cdi_proquest_miscellaneous_35066311 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Analysis Combinatorics Mathematics Mathematics and Statistics |
| title | Existence of continuous solutions for an iterative functional series equation with variable coefficients |
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