{"id":"https://openalex.org/W4404755152","doi":"https://doi.org/10.3390/axioms13120834","title":"Existence and Uniqueness of Second-Order Impulsive Delay Differential Systems","display_name":"Existence and Uniqueness of Second-Order Impulsive Delay Differential Systems","publication_year":2024,"publication_date":"2024-11-27","ids":{"openalex":"https://openalex.org/W4404755152","doi":"https://doi.org/10.3390/axioms13120834"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13120834","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120834","pdf_url":"https://www.mdpi.com/2075-1680/13/12/834/pdf?version=1732721557","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/12/834/pdf?version=1732721557","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073465184","display_name":"Yingxia Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingxia Zhou","raw_affiliation_strings":["Department of Mathematics and Statistics, Guizhou University, Guiyang 550025, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Guizhou University, Guiyang 550025, China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027579610","display_name":"Mengmeng Li","orcid":"https://orcid.org/0000-0001-6926-8716"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mengmeng Li","raw_affiliation_strings":["Department of Mathematics and Statistics, Guizhou University, Guiyang 550025, China"],"raw_orcid":"https://orcid.org/0000-0001-6926-8716","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Guizhou University, Guiyang 550025, China","institution_ids":["https://openalex.org/I178232147"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027579610"],"corresponding_institution_ids":["https://openalex.org/I178232147"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2921956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"12","first_page":"834","last_page":"834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/uniqueness","display_name":"Uniqueness","score":0.8363097906112671},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6154176592826843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5114020705223083},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4947013556957245},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43494218587875366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37766218185424805},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32476866245269775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2447703778743744},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17650407552719116},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11755034327507019},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05386859178543091},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05008170008659363}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8363097906112671},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6154176592826843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5114020705223083},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4947013556957245},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43494218587875366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37766218185424805},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32476866245269775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2447703778743744},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17650407552719116},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11755034327507019},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05386859178543091},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05008170008659363},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13120834","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120834","pdf_url":"https://www.mdpi.com/2075-1680/13/12/834/pdf?version=1732721557","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3631de6fff174e3fa8ac5e69b2e7f25e","is_oa":false,"landing_page_url":"https://doaj.org/article/3631de6fff174e3fa8ac5e69b2e7f25e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 12, p 834 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13120834","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120834","pdf_url":"https://www.mdpi.com/2075-1680/13/12/834/pdf?version=1732721557","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[{"id":"https://openalex.org/G4997774702","display_name":null,"funder_award_id":"12201148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404755152.pdf","grobid_xml":"https://content.openalex.org/works/W4404755152.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W2095209033","https://openalex.org/W2118849038","https://openalex.org/W2558870600","https://openalex.org/W2763053696","https://openalex.org/W2962116962","https://openalex.org/W3087392464","https://openalex.org/W3116568667","https://openalex.org/W3200612512","https://openalex.org/W4220864628","https://openalex.org/W4286628171","https://openalex.org/W4379986258","https://openalex.org/W4387504332","https://openalex.org/W4392469090","https://openalex.org/W6678170654","https://openalex.org/W6806254806","https://openalex.org/W6810740271"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W2340777379","https://openalex.org/W4390756076","https://openalex.org/W4243074410"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,16,46],"study":[4],"the":[5,29,32,40,52],"existence":[6,53],"and":[7,19,42,54],"uniqueness":[8,55],"of":[9,31,56],"second-order":[10],"impulsive":[11,33,60],"delay":[12,21,34,61],"differential":[13,35,62],"systems.":[14,36,63],"Firstly,":[15],"define":[17],"cosine-type":[18],"sine-type":[20],"matrix":[22],"functions,":[23],"which":[24],"are":[25,67],"used":[26],"to":[27,58,69],"derive":[28],"solutions":[30,57],"Secondly,":[37],"based":[38],"on":[39],"Schauder":[41],"Banach":[43],"fixed-point":[44],"theorems,":[45],"establish":[47],"sufficient":[48],"conditions":[49],"that":[50],"guarantee":[51],"nonlinear":[59],"Finally,":[64],"several":[65],"examples":[66],"given":[68],"illustrate":[70],"our":[71],"theoretical":[72],"results.":[73]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}