Loading…
Integral equations with respect to a general stochastic measure
An integral with respect to a general stochastic measure is defined for random functions whose trajectories belong to a Besov space. The existence and uniqueness of solutions of some stochastic equations involving such integrals are established.
Saved in:
Published in: | Theory of probability and mathematical statistics 2015, Vol.91, p.169-179 |
---|---|
Main Author: | |
Format: | Article |
Language: | English |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
cited_by | |
---|---|
cites | |
container_end_page | 179 |
container_issue | |
container_start_page | 169 |
container_title | Theory of probability and mathematical statistics |
container_volume | 91 |
creator | Radchenko, V. M. |
description | An integral with respect to a general stochastic measure is defined for random functions whose trajectories belong to a Besov space. The existence and uniqueness of solutions of some stochastic equations involving such integrals are established. |
doi_str_mv | 10.1090/tpms/975 |
format | article |
fullrecord | <record><control><sourceid>ams_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1090_tpms_975</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1090_tpms_975</sourcerecordid><originalsourceid>FETCH-LOGICAL-a131t-68f2f01274e4be416760f9fc5713a27fa78a9c8f601afc61a02d68a85cd9d733</originalsourceid><addsrcrecordid>eNp1z01LAzEQxvEgCq5V8CMEvHhZO0l2k81JpPhSKHjpfRmzk3al-2KSIn57d6lXTwPDjwf-jN0KeBBgYZnGLi6tKc9YJsrC5EZpdc4yAFvkFgAu2VWMnwDSaC0z9rjuE-0CHjh9HTG1Qx_5d5v2PFAcySWeBo58Rz3NJqbB7TGm1vGOMB4DXbMLj4dIN393wbYvz9vVW755f12vnjY5CiVSrisvPQhpCio-qBDaaPDWu9IIhdJ4NBVaV3kNAr3TAkE2usKqdI1tjFILdn-adWGIMZCvx9B2GH5qAfXcXc_d9dQ90bsTxenxr_oFO71Xyg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Integral equations with respect to a general stochastic measure</title><source>American Mathematical Society Publications - Open Access</source><creator>Radchenko, V. M.</creator><creatorcontrib>Radchenko, V. M.</creatorcontrib><description>An integral with respect to a general stochastic measure is defined for random functions whose trajectories belong to a Besov space. The existence and uniqueness of solutions of some stochastic equations involving such integrals are established.</description><identifier>ISSN: 0094-9000</identifier><identifier>EISSN: 1547-7363</identifier><identifier>DOI: 10.1090/tpms/975</identifier><language>eng</language><ispartof>Theory of probability and mathematical statistics, 2015, Vol.91, p.169-179</ispartof><rights>Copyright 2016, American Mathematical Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttp://www.ams.org/tpms/2015-91-00/S0094-9000-2016-00975-9/S0094-9000-2016-00975-9.pdf$$EPDF$$P50$$Gams$$H</linktopdf><linktohtml>$$Uhttp://www.ams.org/tpms/2015-91-00/S0094-9000-2016-00975-9/$$EHTML$$P50$$Gams$$H</linktohtml><link.rule.ids>69,314,780,784,4024,23324,27923,27924,27925,77838,77848</link.rule.ids></links><search><creatorcontrib>Radchenko, V. M.</creatorcontrib><title>Integral equations with respect to a general stochastic measure</title><title>Theory of probability and mathematical statistics</title><description>An integral with respect to a general stochastic measure is defined for random functions whose trajectories belong to a Besov space. The existence and uniqueness of solutions of some stochastic equations involving such integrals are established.</description><issn>0094-9000</issn><issn>1547-7363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp1z01LAzEQxvEgCq5V8CMEvHhZO0l2k81JpPhSKHjpfRmzk3al-2KSIn57d6lXTwPDjwf-jN0KeBBgYZnGLi6tKc9YJsrC5EZpdc4yAFvkFgAu2VWMnwDSaC0z9rjuE-0CHjh9HTG1Qx_5d5v2PFAcySWeBo58Rz3NJqbB7TGm1vGOMB4DXbMLj4dIN393wbYvz9vVW755f12vnjY5CiVSrisvPQhpCio-qBDaaPDWu9IIhdJ4NBVaV3kNAr3TAkE2usKqdI1tjFILdn-adWGIMZCvx9B2GH5qAfXcXc_d9dQ90bsTxenxr_oFO71Xyg</recordid><startdate>2015</startdate><enddate>2015</enddate><creator>Radchenko, V. M.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2015</creationdate><title>Integral equations with respect to a general stochastic measure</title><author>Radchenko, V. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a131t-68f2f01274e4be416760f9fc5713a27fa78a9c8f601afc61a02d68a85cd9d733</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Radchenko, V. M.</creatorcontrib><collection>CrossRef</collection><jtitle>Theory of probability and mathematical statistics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Radchenko, V. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Integral equations with respect to a general stochastic measure</atitle><jtitle>Theory of probability and mathematical statistics</jtitle><date>2015</date><risdate>2015</risdate><volume>91</volume><spage>169</spage><epage>179</epage><pages>169-179</pages><issn>0094-9000</issn><eissn>1547-7363</eissn><abstract>An integral with respect to a general stochastic measure is defined for random functions whose trajectories belong to a Besov space. The existence and uniqueness of solutions of some stochastic equations involving such integrals are established.</abstract><doi>10.1090/tpms/975</doi><tpages>11</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0094-9000 |
ispartof | Theory of probability and mathematical statistics, 2015, Vol.91, p.169-179 |
issn | 0094-9000 1547-7363 |
language | eng |
recordid | cdi_crossref_primary_10_1090_tpms_975 |
source | American Mathematical Society Publications - Open Access |
title | Integral equations with respect to a general stochastic measure |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T06%3A11%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ams_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Integral%20equations%20with%20respect%20to%20a%20general%20stochastic%20measure&rft.jtitle=Theory%20of%20probability%20and%20mathematical%20statistics&rft.au=Radchenko,%20V.%20M.&rft.date=2015&rft.volume=91&rft.spage=169&rft.epage=179&rft.pages=169-179&rft.issn=0094-9000&rft.eissn=1547-7363&rft_id=info:doi/10.1090/tpms/975&rft_dat=%3Cams_cross%3E10_1090_tpms_975%3C/ams_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a131t-68f2f01274e4be416760f9fc5713a27fa78a9c8f601afc61a02d68a85cd9d733%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |