A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line
A system of nonlinear integral equations with a convolution type operator arising in the p –adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solut...
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| Veröffentlicht in: | Journal of contemporary mathematical analysis 2018-07, Vol.53 (4), p.201-211 |
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| container_issue | 4 |
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| container_title | Journal of contemporary mathematical analysis |
| container_volume | 53 |
| creator | Khachatryan, Kh. A. Terjyan, Ts. E. Avetisyan, M. H. |
| description | A system of nonlinear integral equations with a convolution type operator arising in the
p
–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated. |
| doi_str_mv | 10.3103/S1068362318040027 |
| format | Article |
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p
–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated.</description><identifier>ISSN: 1068-3623</identifier><identifier>ISSN: 1934-9416</identifier><identifier>EISSN: 1934-9416</identifier><identifier>DOI: 10.3103/S1068362318040027</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Convolution ; INTEGRAL EQUATIONS ; Mathematical analysis ; MATHEMATICAL SOLUTIONS ; Mathematics ; Mathematics and Statistics ; Nonlinear equations ; NONLINEAR PROBLEMS ; Operators (mathematics) ; Parameters ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; STRING THEORY ; TACHYONS</subject><ispartof>Journal of contemporary mathematical analysis, 2018-07, Vol.53 (4), p.201-211</ispartof><rights>Allerton Press, Inc. 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c344t-76fc076658ee788428f034f234435365138193aec5a938b420c6e56c6f8936213</citedby><cites>FETCH-LOGICAL-c344t-76fc076658ee788428f034f234435365138193aec5a938b420c6e56c6f8936213</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.3103/S1068362318040027$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.3103/S1068362318040027$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,780,784,885,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22795619$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Khachatryan, Kh. A.</creatorcontrib><creatorcontrib>Terjyan, Ts. E.</creatorcontrib><creatorcontrib>Avetisyan, M. H.</creatorcontrib><title>A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line</title><title>Journal of contemporary mathematical analysis</title><addtitle>J. Contemp. Mathemat. Anal</addtitle><description>A system of nonlinear integral equations with a convolution type operator arising in the
p
–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated.</description><subject>Convolution</subject><subject>INTEGRAL EQUATIONS</subject><subject>Mathematical analysis</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Nonlinear equations</subject><subject>NONLINEAR PROBLEMS</subject><subject>Operators (mathematics)</subject><subject>Parameters</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>STRING THEORY</subject><subject>TACHYONS</subject><issn>1068-3623</issn><issn>1934-9416</issn><issn>1934-9416</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kM1OAjEUhSdGExF9AHdNXI_2fzpLJKAkRBZoXE5quQNDhhbazoKd7-Ab-iSWYHRhXN2b3O-cnHOz7JrgW0Ywu5sTLBWTlBGFOca0OMl6pGQ8LzmRp2lP5_xwP88uQlhjLNLOe1k7QDMLn-8fW-31BiJ4NNabpt0jV6N719kFLNDctV1snA2odh5pNN-HCJsD8eRs21jQHk1shKXXLRrtOn2EnUVxBeh15VpA04RdZme1bgNcfc9-9jIePQ8f8-nsYTIcTHPDOI95IWuDCymFAiiU4lTVmPE65eVMMCkIU6maBiN0ydQbp9hIENLIWpWpImH97Obo60JsqmCaCGZlnLVgYkVpUQqZDH6orXe7DkKs1q7zNgWrKC6pKikXIlHkSBnvQvBQV1vfbLTfVwRXh9dXf16fNPSoCYm1S_C_zv-LvgDsdIOT</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Khachatryan, Kh. A.</creator><creator>Terjyan, Ts. E.</creator><creator>Avetisyan, M. H.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20180701</creationdate><title>A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line</title><author>Khachatryan, Kh. A. ; Terjyan, Ts. E. ; Avetisyan, M. H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c344t-76fc076658ee788428f034f234435365138193aec5a938b420c6e56c6f8936213</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Convolution</topic><topic>INTEGRAL EQUATIONS</topic><topic>Mathematical analysis</topic><topic>MATHEMATICAL SOLUTIONS</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Nonlinear equations</topic><topic>NONLINEAR PROBLEMS</topic><topic>Operators (mathematics)</topic><topic>Parameters</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>STRING THEORY</topic><topic>TACHYONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khachatryan, Kh. A.</creatorcontrib><creatorcontrib>Terjyan, Ts. E.</creatorcontrib><creatorcontrib>Avetisyan, M. H.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Journal of contemporary mathematical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khachatryan, Kh. A.</au><au>Terjyan, Ts. E.</au><au>Avetisyan, M. H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line</atitle><jtitle>Journal of contemporary mathematical analysis</jtitle><stitle>J. Contemp. Mathemat. Anal</stitle><date>2018-07-01</date><risdate>2018</risdate><volume>53</volume><issue>4</issue><spage>201</spage><epage>211</epage><pages>201-211</pages><issn>1068-3623</issn><issn>1934-9416</issn><eissn>1934-9416</eissn><abstract>A system of nonlinear integral equations with a convolution type operator arising in the
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–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.3103/S1068362318040027</doi><tpages>11</tpages></addata></record> |
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| ispartof | Journal of contemporary mathematical analysis, 2018-07, Vol.53 (4), p.201-211 |
| issn | 1068-3623 1934-9416 1934-9416 |
| language | eng |
| recordid | cdi_osti_scitechconnect_22795619 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Convolution INTEGRAL EQUATIONS Mathematical analysis MATHEMATICAL SOLUTIONS Mathematics Mathematics and Statistics Nonlinear equations NONLINEAR PROBLEMS Operators (mathematics) Parameters PHYSICS OF ELEMENTARY PARTICLES AND FIELDS STRING THEORY TACHYONS |
| title | A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line |
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