Cauchy Problem for One Pseudohyperbolic System

The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.

Saved in:
Bibliographic Details
Published in:Computational mathematics and mathematical physics 2020-04, Vol.60 (4), p.615-627
Main Authors: Bondar, L. N., Demidenko, G. V., Pintus, G. M.
Format: Article
Language:English
Subjects:
Cauchy problems
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Sobolev space
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93
cites cdi_FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93
container_end_page 627
container_issue 4
container_start_page 615
container_title Computational mathematics and mathematical physics
container_volume 60
creator Bondar, L. N.
Demidenko, G. V.
Pintus, G. M.
description The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.
doi_str_mv 10.1134/S0965542520040053
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2410771642</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2410771642</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93</originalsourceid><addsrcrecordid>eNp1kE9Lw0AQxRdRsFY_gLeA59SZ_ZfsUYpaodBC9Rw221nbknbrbnPItzclggfxNIf3fu8Nj7F7hAmikI8rMFopyRUHkABKXLARKqVyrTW_ZKOznJ_1a3aT0g4AtSnFiE2mtnWbLlvGUDe0z3yI2eJA2TJRuw6b7kixDs3WZasunWh_y668bRLd_dwx-3h5fp_O8vni9W36NM-dQH3KjSHS2onae5ScTFk4FN6WZW3W4MlYTcoqkn7t0EqrOej-QV8UvLQFOCPG7GHIPcbw1VI6VbvQxkNfWXGJUBSoJe9dOLhcDClF8tUxbvc2dhVCdZ6l-jNLz_CBSb338EnxN_l_6Bv5zmK9</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2410771642</pqid></control><display><type>article</type><title>Cauchy Problem for One Pseudohyperbolic System</title><source>Springer Nature</source><creator>Bondar, L. N. ; Demidenko, G. V. ; Pintus, G. M.</creator><creatorcontrib>Bondar, L. N. ; Demidenko, G. V. ; Pintus, G. M.</creatorcontrib><description>The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.</description><identifier>ISSN: 0965-5425</identifier><identifier>EISSN: 1555-6662</identifier><identifier>DOI: 10.1134/S0965542520040053</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Cauchy problems ; Computational Mathematics and Numerical Analysis ; Mathematics ; Mathematics and Statistics ; Sobolev space</subject><ispartof>Computational mathematics and mathematical physics, 2020-04, Vol.60 (4), p.615-627</ispartof><rights>Pleiades Publishing, Ltd. 2020</rights><rights>Pleiades Publishing, Ltd. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93</citedby><cites>FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Bondar, L. N.</creatorcontrib><creatorcontrib>Demidenko, G. V.</creatorcontrib><creatorcontrib>Pintus, G. M.</creatorcontrib><title>Cauchy Problem for One Pseudohyperbolic System</title><title>Computational mathematics and mathematical physics</title><addtitle>Comput. Math. and Math. Phys</addtitle><description>The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.</description><subject>Cauchy problems</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Sobolev space</subject><issn>0965-5425</issn><issn>1555-6662</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1kE9Lw0AQxRdRsFY_gLeA59SZ_ZfsUYpaodBC9Rw221nbknbrbnPItzclggfxNIf3fu8Nj7F7hAmikI8rMFopyRUHkABKXLARKqVyrTW_ZKOznJ_1a3aT0g4AtSnFiE2mtnWbLlvGUDe0z3yI2eJA2TJRuw6b7kixDs3WZasunWh_y668bRLd_dwx-3h5fp_O8vni9W36NM-dQH3KjSHS2onae5ScTFk4FN6WZW3W4MlYTcoqkn7t0EqrOej-QV8UvLQFOCPG7GHIPcbw1VI6VbvQxkNfWXGJUBSoJe9dOLhcDClF8tUxbvc2dhVCdZ6l-jNLz_CBSb338EnxN_l_6Bv5zmK9</recordid><startdate>20200401</startdate><enddate>20200401</enddate><creator>Bondar, L. N.</creator><creator>Demidenko, G. V.</creator><creator>Pintus, G. M.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20200401</creationdate><title>Cauchy Problem for One Pseudohyperbolic System</title><author>Bondar, L. N. ; Demidenko, G. V. ; Pintus, G. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Cauchy problems</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Sobolev space</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bondar, L. N.</creatorcontrib><creatorcontrib>Demidenko, G. V.</creatorcontrib><creatorcontrib>Pintus, G. M.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research 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>Computational mathematics and mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bondar, L. N.</au><au>Demidenko, G. V.</au><au>Pintus, G. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cauchy Problem for One Pseudohyperbolic System</atitle><jtitle>Computational mathematics and mathematical physics</jtitle><stitle>Comput. Math. and Math. Phys</stitle><date>2020-04-01</date><risdate>2020</risdate><volume>60</volume><issue>4</issue><spage>615</spage><epage>627</epage><pages>615-627</pages><issn>0965-5425</issn><eissn>1555-6662</eissn><abstract>The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0965542520040053</doi><tpages>13</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0965-5425
ispartof Computational mathematics and mathematical physics, 2020-04, Vol.60 (4), p.615-627
issn 0965-5425
1555-6662
language eng
recordid cdi_proquest_journals_2410771642
source Springer Nature
subjects Cauchy problems
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Sobolev space
title Cauchy Problem for One Pseudohyperbolic System
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T19%3A46%3A00IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Cauchy%20Problem%20for%20One%20Pseudohyperbolic%20System&rft.jtitle=Computational%20mathematics%20and%20mathematical%20physics&rft.au=Bondar,%20L.%20N.&rft.date=2020-04-01&rft.volume=60&rft.issue=4&rft.spage=615&rft.epage=627&rft.pages=615-627&rft.issn=0965-5425&rft.eissn=1555-6662&rft_id=info:doi/10.1134/S0965542520040053&rft_dat=%3Cproquest_cross%3E2410771642%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c316t-99ee66c3bff142e987c13fa88b9d0fe9a6e5a5e4fdc1a4a6206096f7728a70c93%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2410771642&rft_id=info:pmid/&rfr_iscdi=true