{"id":"https://openalex.org/W2026199285","doi":"https://doi.org/10.2478/v10006-007-0035-y","title":"An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems","display_name":"An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems","publication_year":2007,"publication_date":"2007-12-01","ids":{"openalex":"https://openalex.org/W2026199285","doi":"https://doi.org/10.2478/v10006-007-0035-y","mag":"2026199285"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-007-0035-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0035-y","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0035-y","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-007-0035-y","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050218070","display_name":"El Hassan Zerrik","orcid":"https://orcid.org/0000-0002-7677-8308"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"E Zerrik","raw_affiliation_strings":["MACS Group-AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco#TAB#"],"affiliations":[{"raw_affiliation_string":"MACS Group-AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco#TAB#","institution_ids":["https://openalex.org/I4210153608"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003017596","display_name":"Rachid Larhrissi","orcid":"https://orcid.org/0000-0001-5664-3660"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"R Larhrissi","raw_affiliation_strings":["MACS Group-AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco#TAB#"],"affiliations":[{"raw_affiliation_string":"MACS Group-AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco#TAB#","institution_ids":["https://openalex.org/I4210153608"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075045368","display_name":"Hamid Bourray","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"H Bourray","raw_affiliation_strings":["MACS Group-AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco#TAB#"],"affiliations":[{"raw_affiliation_string":"MACS Group-AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco#TAB#","institution_ids":["https://openalex.org/I4210153608"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050218070"],"corresponding_institution_ids":["https://openalex.org/I4210153608"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":1.7572,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.87315559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"17","issue":"4","first_page":"437","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9488000273704529,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9601634740829468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.727009654045105},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7013862133026123},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6031383872032166},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5561010837554932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5547342896461487},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.4948529601097107},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4905818998813629},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.48132383823394775},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46493053436279297},{"id":"https://openalex.org/keywords/hyperbolic-equilibrium-point","display_name":"Hyperbolic equilibrium point","score":0.46048933267593384},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4147432744503021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37269648909568787},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.23747646808624268},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.2149367332458496},{"id":"https://openalex.org/keywords/hyperbolic-manifold","display_name":"Hyperbolic manifold","score":0.199375718832016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17322316765785217}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9601634740829468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.727009654045105},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7013862133026123},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6031383872032166},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5561010837554932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5547342896461487},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.4948529601097107},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4905818998813629},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.48132383823394775},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46493053436279297},{"id":"https://openalex.org/C51691630","wikidata":"https://www.wikidata.org/wiki/Q3925833","display_name":"Hyperbolic equilibrium point","level":4,"score":0.46048933267593384},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4147432744503021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37269648909568787},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.23747646808624268},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.2149367332458496},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.199375718832016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17322316765785217},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/v10006-007-0035-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0035-y","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0035-y","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.5194","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.5194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc17/amc1741.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:78665","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78665","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=30","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-007-0035-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0035-y","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0035-y","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2026199285.pdf","grobid_xml":"https://content.openalex.org/works/W2026199285.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W251890296","https://openalex.org/W636467976","https://openalex.org/W836987777","https://openalex.org/W1188995250","https://openalex.org/W1485644331","https://openalex.org/W1527296550","https://openalex.org/W1535516791","https://openalex.org/W1547403762","https://openalex.org/W1560060148","https://openalex.org/W1565627164","https://openalex.org/W1572548753","https://openalex.org/W1986721566","https://openalex.org/W1998811435","https://openalex.org/W2003021246","https://openalex.org/W2049482433","https://openalex.org/W2054901219","https://openalex.org/W2056489047","https://openalex.org/W2059276961","https://openalex.org/W2062597995","https://openalex.org/W2066120048","https://openalex.org/W2093193680","https://openalex.org/W2110110290","https://openalex.org/W2121552308","https://openalex.org/W2487080866","https://openalex.org/W2582171088","https://openalex.org/W3194374079"],"related_works":["https://openalex.org/W2107950159","https://openalex.org/W2846516035","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W1691643469","https://openalex.org/W2084519163","https://openalex.org/W2072568712","https://openalex.org/W2041379743","https://openalex.org/W2136560201","https://openalex.org/W1530181349"],"abstract_inverted_index":{"An":[0],"Output":[1],"Controllability":[2],"Problem":[3],"for":[4,20],"Semilinear":[5],"Distributed":[6],"Hyperbolic":[7],"Systems":[8],"The":[9,53],"paper":[10],"aims":[11],"at":[12],"extending":[13],"the":[14,24,36,44],"notion":[15],"of":[16,43],"regional":[17],"controllability":[18],"developed":[19],"linear":[21,33],"systems":[22],"to":[23,65,71],"semilinear":[25],"hyperbolic":[26],"case.":[27],"We":[28],"begin":[29],"with":[30,81],"an":[31,41,72],"asymptotically":[32],"system":[34],"and":[35,48,63,79],"approach":[37],"is":[38,56,75],"based":[39],"on":[40],"extension":[42],"Hilbert":[45],"uniqueness":[46],"method":[47],"Schauder's":[49],"fixed":[50,67],"point":[51,68],"theorem.":[52],"analytical":[54],"case":[55],"then":[57],"tackled":[58],"using":[59],"generalized":[60],"inverse":[61],"techniques":[62],"converted":[64],"a":[66],"problem":[69],"leading":[70],"algorithm":[73],"which":[74],"successfully":[76],"implemented":[77],"numerically":[78],"illustrated":[80],"examples.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}