{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:39:00Z","timestamp":1753886340811,"version":"3.41.2"},"reference-count":10,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,7,26]],"date-time":"2011-07-26T00:00:00Z","timestamp":1311638400000},"content-version":"vor","delay-in-days":206,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>The solvability and the properties of solutions of nonhomogeneous and homogeneous vector integral equation , where <jats:italic>K<\/jats:italic>, <jats:italic>T<\/jats:italic> are <jats:italic>n<\/jats:italic> \u00d7 <jats:italic>n<\/jats:italic>\n matrix valued functions, <jats:italic>n<\/jats:italic> \u2265 1, with nonnegative integrable\nelements, are considered in one semiconservative (singular) case, where the matrix  is stochastic one and the matrix  is substochastic one. It is shown that in certain conditions the nonhomogeneous equation simultaneously with the corresponding homogeneous one possesses positive solutions.<\/jats:p>","DOI":"10.1155\/2011\/917951","type":"journal-article","created":{"date-parts":[[2011,7,26]],"date-time":"2011-07-26T19:02:28Z","timestamp":1311706948000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Semiconservative Systems of Integral Equations with Two Kernels"],"prefix":"10.1155","volume":"2011","author":[{"given":"N. B.","family":"Yengibaryan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. G.","family":"Barseghyan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,7,26]]},"reference":[{"key":"e_1_2_5_1_2","series-title":"Translations of Mathematical Monographs","volume-title":"Convolution Equations and Projection Methods for Their Solution","author":"Gohberg I. C.","year":"1974"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-5827-4"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02360867"},{"key":"e_1_2_5_4_2","first-page":"8","article-title":"Transfer equation in adjacent half-spaces","volume":"41","author":"Barsegyan A. G.","year":"2006","journal-title":"Contemporary Mathematical Analysis"},{"volume-title":"An Introduction of Probability Theory and Its Applications","year":"1971","author":"Feller W.","key":"e_1_2_5_5_2"},{"volume-title":"Theory and Application of the Boltzmann Equation","year":"1975","author":"Cercignani C.","key":"e_1_2_5_6_2"},{"volume-title":"Neutron Transport Theory","year":"1957","author":"Davison B.","key":"e_1_2_5_7_2"},{"volume-title":"Theory of Matrices","year":"1969","author":"Lancaster P.","key":"e_1_2_5_8_2"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1070\/SM2002v193n06ABEH000660"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1070\/IM2006v070n05ABEH002333"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/917951.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/917951.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2011\/917951","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T13:50:15Z","timestamp":1718027415000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/10.1155\/2011\/917951"}},"subtitle":[],"editor":[{"given":"Giuseppe","family":"Marino","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1155\/2011\/917951"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1155\/2011\/917951","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2011,1]]},"assertion":[{"value":"2011-02-03","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-05-30","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-07-26","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"917951"}}