{"id":"https://openalex.org/W2107719685","doi":"https://doi.org/10.1134/s0361768810020027","title":"On an undecidable problem related to difference equations with parameters","display_name":"On an undecidable problem related to difference equations with parameters","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2107719685","doi":"https://doi.org/10.1134/s0361768810020027","mag":"2107719685"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768810020027","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768810020027","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066677758","display_name":"\u0421. \u0410. \u0410\u0431\u0440\u0430\u043c\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. A. Abramov","raw_affiliation_strings":["Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia","Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119991#TAB#"],"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia","institution_ids":["https://openalex.org/I2801535751","https://openalex.org/I4210143490"]},{"raw_affiliation_string":"Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119991#TAB#","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066677758"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210143490"],"apc_list":null,"apc_paid":null,"fwci":0.7307,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70242949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"2","first_page":"63","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9472000002861023,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9472000002861023,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9107000231742859,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.9580811262130737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7806065082550049},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6525238752365112},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5276545286178589},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5187671184539795},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5081086158752441},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30748796463012695},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2817731201648712},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.18799272179603577}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9580811262130737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7806065082550049},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6525238752365112},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5276545286178589},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5187671184539795},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5081086158752441},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30748796463012695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2817731201648712},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.18799272179603577},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0361768810020027","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768810020027","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W80392993","https://openalex.org/W2004834120","https://openalex.org/W2063402394","https://openalex.org/W2096478770","https://openalex.org/W2107308446","https://openalex.org/W2109508958","https://openalex.org/W2143569865","https://openalex.org/W2370045957"],"related_works":["https://openalex.org/W2120230527","https://openalex.org/W1536365843","https://openalex.org/W2125797022","https://openalex.org/W1490819493","https://openalex.org/W1802268423","https://openalex.org/W1993963635","https://openalex.org/W4252689011","https://openalex.org/W4251759788","https://openalex.org/W2468382602","https://openalex.org/W91521151"],"abstract_inverted_index":{"Linear":[0],"difference":[1],"equations":[2],"with":[3],"polynomial":[4,31],"coefficients":[5],"depending":[6],"on":[7],"parameters":[8,23],"are":[9],"considered.":[10],"It":[11],"is":[12,41],"proved":[13,55],"that":[14],"the":[15,26,45,48,52],"problem":[16,50],"of":[17,19,22,47],"existence":[18],"numerical":[20],"values":[21],"for":[24],"which":[25],"given":[27,36],"equation":[28],"has":[29],"a":[30,34,38],"solution":[32,35],"(alternatively,":[33],"by":[37,56],"rational":[39],"function)":[40],"undecidable":[42],"(similar":[43],"to":[44],"undecidability":[46],"same":[49],"in":[51],"differential":[53],"case":[54],"J.-A.":[57],"Weil).":[58]},"counts_by_year":[],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}