{"id":"https://openalex.org/W4403656578","doi":"https://doi.org/10.1142/s1793005726500286","title":"Stability of Uncertain Delay Differential Equations via Lyapunov Direct and Fixed Point Methods","display_name":"Stability of Uncertain Delay Differential Equations via Lyapunov Direct and Fixed Point Methods","publication_year":2024,"publication_date":"2024-10-22","ids":{"openalex":"https://openalex.org/W4403656578","doi":"https://doi.org/10.1142/s1793005726500286"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005726500286","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500286","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5053740673","display_name":"Vahid Roomi","orcid":"https://orcid.org/0000-0002-2155-6433"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Vahid Roomi","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","Insurance Research Center, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-2155-6433","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]},{"raw_affiliation_string":"Insurance Research Center, Tehran, Iran","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101866968","display_name":"Hamid Reza Ahmadi","orcid":"https://orcid.org/0000-0001-6194-4118"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hamid Reza Ahmadi","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"],"raw_orcid":"https://orcid.org/0000-0001-6194-4118","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I51301133"],"apc_list":null,"apc_paid":null,"fwci":0.543,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70559219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"22","issue":"02","first_page":"573","last_page":"592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9021999835968018,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9021999835968018,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5921523571014404},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5827658176422119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5445594191551208},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5357747673988342},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5197890996932983},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.5053415894508362},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4565328061580658},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.45102518796920776},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4250306487083435},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.41626936197280884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41173624992370605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40451711416244507},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21150699257850647},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1704094111919403},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16650789976119995},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06503191590309143}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5921523571014404},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5827658176422119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5445594191551208},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5357747673988342},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5197890996932983},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.5053415894508362},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4565328061580658},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.45102518796920776},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4250306487083435},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.41626936197280884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41173624992370605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40451711416244507},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21150699257850647},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1704094111919403},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16650789976119995},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06503191590309143},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005726500286","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500286","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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":9,"referenced_works":["https://openalex.org/W2024516779","https://openalex.org/W2054550614","https://openalex.org/W2126151844","https://openalex.org/W2156431668","https://openalex.org/W2164919501","https://openalex.org/W3085763374","https://openalex.org/W3087373714","https://openalex.org/W3168613490","https://openalex.org/W4234521054"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2846516035","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2374426356","https://openalex.org/W2012141574","https://openalex.org/W2059628530","https://openalex.org/W1606221119"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,13,44],"this":[3,24],"paper":[4],"is":[5],"to":[6,62],"study":[7],"the":[8,11,27,42,57,67],"stability":[9,43,68],"solutions":[12],"some":[14,35,53],"uncertain":[15,48],"delay":[16,49],"(integro)":[17],"differential":[18,50],"equations":[19],"under":[20],"different":[21],"conditions.":[22],"In":[23,52],"regard,":[25],"applying":[26],"Lyapunov":[28,65],"direct":[29],"method":[30],"and":[31],"fixed":[32,75],"point":[33,76],"technique,":[34],"sufficient":[36],"conditions":[37,58],"will":[38,70],"be":[39,71],"presented":[40],"for":[41],"a":[45,64],"linear":[46],"scalar":[47],"equation.":[51],"other":[54],"cases":[55],"that":[56],"make":[59],"it":[60],"difficult":[61],"define":[63],"function,":[66],"problem":[69],"studied":[72],"only":[73],"by":[74],"method.":[77]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}