{"id":"https://openalex.org/W2916421740","doi":"https://doi.org/10.3390/axioms8010023","title":"First Order Coupled Systems With Functional and Periodic Boundary Conditions: Existence Results and Application to an SIRS Model","display_name":"First Order Coupled Systems With Functional and Periodic Boundary Conditions: Existence Results and Application to an SIRS Model","publication_year":2019,"publication_date":"2019-02-16","ids":{"openalex":"https://openalex.org/W2916421740","doi":"https://doi.org/10.3390/axioms8010023","mag":"2916421740"},"language":"en","primary_location":{"id":"doi:10.3390/axioms8010023","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms8010023","pdf_url":"https://www.mdpi.com/2075-1680/8/1/23/pdf?version=1550308700","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/2075-1680/8/1/23/pdf?version=1550308700","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069612654","display_name":"Jo\u00e3o Fialho","orcid":"https://orcid.org/0000-0001-9048-6793"},"institutions":[{"id":"https://openalex.org/I21803372","display_name":"University of \u00c9vora","ror":"https://ror.org/02gyps716","country_code":"PT","type":"education","lineage":["https://openalex.org/I21803372"]},{"id":"https://openalex.org/I4210120242","display_name":"British University Vietnam","ror":"https://ror.org/01vtndz62","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210120242"]}],"countries":["PT","VN"],"is_corresponding":true,"raw_author_name":"Jo\u00e3o Fialho","raw_affiliation_strings":["Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es (CIMA), Instituto de Investiga\u00e7\u00e3o e Forma\u00e7\u00e3o Avan\u00e7ada, Universidade de \u00c9vora, Rua Rom\u00e3o Ramalho, 59, 7000-671 \u00c9vora, Portugal","Department of Mathematics, British University of Vietnam, Ecopark Campus, 160000 Hung Yen, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0001-9048-6793","affiliations":[{"raw_affiliation_string":"Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es (CIMA), Instituto de Investiga\u00e7\u00e3o e Forma\u00e7\u00e3o Avan\u00e7ada, Universidade de \u00c9vora, Rua Rom\u00e3o Ramalho, 59, 7000-671 \u00c9vora, Portugal","institution_ids":["https://openalex.org/I21803372"]},{"raw_affiliation_string":"Department of Mathematics, British University of Vietnam, Ecopark Campus, 160000 Hung Yen, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210120242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034901927","display_name":"Feliz Minh\u00f3s","orcid":"https://orcid.org/0000-0002-7485-2500"},"institutions":[{"id":"https://openalex.org/I21803372","display_name":"University of \u00c9vora","ror":"https://ror.org/02gyps716","country_code":"PT","type":"education","lineage":["https://openalex.org/I21803372"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Feliz Minh\u00f3s","raw_affiliation_strings":["Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es (CIMA), Instituto de Investiga\u00e7\u00e3o e Forma\u00e7\u00e3o Avan\u00e7ada, Universidade de \u00c9vora, Rua Rom\u00e3o Ramalho, 59, 7000-671 \u00c9vora, Portugal","Departamento de Matem\u00e1tica, Escola de Ci\u00eancias e Tecnologia, Universidade de \u00c9vora, 7000-812 \u00c9vora, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-7485-2500","affiliations":[{"raw_affiliation_string":"Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es (CIMA), Instituto de Investiga\u00e7\u00e3o e Forma\u00e7\u00e3o Avan\u00e7ada, Universidade de \u00c9vora, Rua Rom\u00e3o Ramalho, 59, 7000-671 \u00c9vora, Portugal","institution_ids":["https://openalex.org/I21803372"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Escola de Ci\u00eancias e Tecnologia, Universidade de \u00c9vora, 7000-812 \u00c9vora, Portugal","institution_ids":["https://openalex.org/I21803372"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069612654"],"corresponding_institution_ids":["https://openalex.org/I21803372","https://openalex.org/I4210120242"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4502,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68862887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":"1","first_page":"23","last_page":"23"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/boundary-value-problem","display_name":"Boundary value problem","score":0.7106078863143921},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6751759052276611},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6641322374343872},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5574561953544617},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5270857214927673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49874138832092285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4576108157634735},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.41913706064224243},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.41229236125946045},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06417754292488098}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7106078863143921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6751759052276611},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6641322374343872},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5574561953544617},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5270857214927673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49874138832092285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4576108157634735},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.41913706064224243},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.41229236125946045},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06417754292488098},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms8010023","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms8010023","pdf_url":"https://www.mdpi.com/2075-1680/8/1/23/pdf?version=1550308700","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:670b9a92341e44f9b49b94064a06478b","is_oa":false,"landing_page_url":"https://doaj.org/article/670b9a92341e44f9b49b94064a06478b","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 8, Iss 1, p 23 (2019)","raw_type":"article"},{"id":"pmh:oai:dspace.uevora.pt:10174/27041","is_oa":true,"landing_page_url":"http://hdl.handle.net/10174/27041","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:mdpi.com:/2075-1680/8/1/23/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms8010023","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 8; Issue 1; Pages: 23","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms8010023","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms8010023","pdf_url":"https://www.mdpi.com/2075-1680/8/1/23/pdf?version=1550308700","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":[{"score":0.8299999833106995,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2916421740.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1502371221","https://openalex.org/W1545674383","https://openalex.org/W1964155095","https://openalex.org/W1980957798","https://openalex.org/W1981601319","https://openalex.org/W1985862691","https://openalex.org/W1991038590","https://openalex.org/W2004578388","https://openalex.org/W2025620676","https://openalex.org/W2040255187","https://openalex.org/W2042086944","https://openalex.org/W2058410955","https://openalex.org/W2076770014","https://openalex.org/W2083658635","https://openalex.org/W2092889074","https://openalex.org/W2138309169","https://openalex.org/W2154554592","https://openalex.org/W2185878173","https://openalex.org/W2287995609","https://openalex.org/W2314121653","https://openalex.org/W2314339603","https://openalex.org/W2317210080","https://openalex.org/W2592111873","https://openalex.org/W2728227160","https://openalex.org/W2768709345","https://openalex.org/W2792901416","https://openalex.org/W2808379742","https://openalex.org/W2867427486","https://openalex.org/W2902242925","https://openalex.org/W4229767690","https://openalex.org/W4235485079","https://openalex.org/W6686305697","https://openalex.org/W6698634312","https://openalex.org/W6698806728","https://openalex.org/W7020824308"],"related_works":["https://openalex.org/W2100405323","https://openalex.org/W2164596632","https://openalex.org/W3122009904","https://openalex.org/W4293526182","https://openalex.org/W2078180565","https://openalex.org/W4206452777","https://openalex.org/W2586669896","https://openalex.org/W2963656442","https://openalex.org/W1500863000","https://openalex.org/W2371087017"],"abstract_inverted_index":{"The":[0,78,93],"results":[1,95],"presented":[2],"in":[3,26,51,63],"this":[4],"paper":[5],"deal":[6],"with":[7,31,39,105],"the":[8,52,59,84],"existence":[9,94],"of":[10,12,19,58],"solutions":[11],"a":[13],"first":[14],"order":[15],"fully":[16],"coupled":[17,32],"system":[18],"three":[20],"equations,":[21],"and":[22,36,62,88],"they":[23,55],"are":[24,47,81,96],"split":[25],"two":[27],"parts:":[28],"1.":[29],"Case":[30,38],"functional":[33],"boundary":[34,41,44,107],"conditions,":[35,45,71],"2.":[37],"periodic":[40],"conditions.":[42,77,108],"Functional":[43],"which":[46],"becoming":[48],"increasingly":[49],"popular":[50],"literature,":[53],"as":[54,73],"generalize":[56],"most":[57],"classical":[60],"cases":[61],"addition":[64],"can":[65],"be":[66],"used":[67,80],"to":[68,99],"tackle":[69],"global":[70,106],"such":[72],"maximum":[74],"or":[75],"minimum":[76],"arguments":[79],"based":[82],"on":[83],"Arz\u00e8la":[85],"Ascoli":[86],"theorem":[87],"Schauder\u2019s":[89],"fixed":[90],"point":[91],"theorem.":[92],"directly":[97],"applied":[98],"an":[100],"epidemic":[101],"SIRS":[102],"(Susceptible-Infectious-Recovered-Susceptible)":[103],"model,":[104]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2019-03-02T00:00:00"}
