{"id":"https://openalex.org/W2090044380","doi":"https://doi.org/10.2478/forma-2013-0028","title":"Differential Equations on Functions from R into Real Banach Space","display_name":"Differential Equations on Functions from R into Real Banach Space","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2090044380","doi":"https://doi.org/10.2478/forma-2013-0028","mag":"2090044380"},"language":"en","primary_location":{"id":"doi:10.2478/forma-2013-0028","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2013-0028","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2013-0028","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://sciendo.com/pdf/10.2478/forma-2013-0028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057236933","display_name":"Keiko Narita","orcid":null},"institutions":[{"id":"https://openalex.org/I4210149837","display_name":"Hirosaki National Hospital","ror":"https://ror.org/03qrrp624","country_code":"JP","type":"healthcare","lineage":["https://openalex.org/I4210137409","https://openalex.org/I4210149837"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Keiko Narita","raw_affiliation_strings":["Hirosaki-city Aomori, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hirosaki-city Aomori, Japan","institution_ids":["https://openalex.org/I4210149837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015450295","display_name":"Noboru Endou","orcid":"https://orcid.org/0000-0002-5922-2332"},"institutions":[{"id":"https://openalex.org/I4210113483","display_name":"National Institute of Technology, Gifu College","ror":"https://ror.org/025b2hx26","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210113483","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Noboru Endou","raw_affiliation_strings":["Gifu National College of Technology Gifu, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gifu National College of Technology Gifu, Japan","institution_ids":["https://openalex.org/I4210113483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055549852","display_name":"Yasunari Shidama","orcid":"https://orcid.org/0000-0001-5634-0838"},"institutions":[{"id":"https://openalex.org/I137975476","display_name":"Shinshu University","ror":"https://ror.org/0244rem06","country_code":"JP","type":"education","lineage":["https://openalex.org/I137975476"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasunari Shidama","raw_affiliation_strings":["Shinshu University Nagano, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shinshu University Nagano, Japan","institution_ids":["https://openalex.org/I137975476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13875353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"4","first_page":"261","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.955299973487854,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.955299973487854,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9419000148773193,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9384999871253967,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.855125904083252},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7117072343826294},{"id":"https://openalex.org/keywords/c0-semigroup","display_name":"C0-semigroup","score":0.5313335657119751},{"id":"https://openalex.org/keywords/infinite-dimensional-vector-function","display_name":"Infinite-dimensional vector function","score":0.5078769326210022},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4887197017669678},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46840590238571167},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4599967896938324},{"id":"https://openalex.org/keywords/eberlein\u2013\u0161mulian-theorem","display_name":"Eberlein\u2013\u0160mulian theorem","score":0.44615039229393005},{"id":"https://openalex.org/keywords/banach-manifold","display_name":"Banach manifold","score":0.4443104565143585},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3748425543308258},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3701867163181305},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33464571833610535},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.25463545322418213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08453500270843506}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.855125904083252},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7117072343826294},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.5313335657119751},{"id":"https://openalex.org/C80739010","wikidata":"https://www.wikidata.org/wiki/Q6029720","display_name":"Infinite-dimensional vector function","level":5,"score":0.5078769326210022},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4887197017669678},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46840590238571167},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4599967896938324},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.44615039229393005},{"id":"https://openalex.org/C165593952","wikidata":"https://www.wikidata.org/wiki/Q3554819","display_name":"Banach manifold","level":4,"score":0.4443104565143585},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3748425543308258},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3701867163181305},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33464571833610535},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.25463545322418213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08453500270843506},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/forma-2013-0028","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2013-0028","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2013-0028","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:soar-ir.repo.nii.ac.jp:00018382","is_oa":true,"landing_page_url":null,"pdf_url":"https://soar-ir.repo.nii.ac.jp/record/18382/files/[Formalized Mathematics] Differential Equations on Functions from R into Real Banach Space.pdf","source":{"id":"https://openalex.org/S4306402150","display_name":"SOAR (Shinshu University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I137975476","host_organization_name":"Shinshu University","host_organization_lineage":["https://openalex.org/I137975476"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:doaj.org/article:4043327eb8114f49b6fe456f3e5db6e2","is_oa":false,"landing_page_url":"https://doaj.org/article/4043327eb8114f49b6fe456f3e5db6e2","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":"Formalized Mathematics, Vol 21, Iss 4, Pp 261-272 (2013)","raw_type":"article"},{"id":"pmh:oai:repozytorium.uwb.edu.pl:11320/3695","is_oa":false,"landing_page_url":"http://hdl.handle.net/11320/3695","pdf_url":null,"source":{"id":"https://openalex.org/S4306400933","display_name":"The Repository of University in Bialystok (University in Bialystok)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210094198","host_organization_name":"University Clinical Hospital In Bialystok","host_organization_lineage":["https://openalex.org/I4210094198"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.2478/forma-2013-0028","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2013-0028","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2013-0028","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2090044380.pdf","grobid_xml":"https://content.openalex.org/works/W2090044380.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W144386393","https://openalex.org/W180239714","https://openalex.org/W192809544","https://openalex.org/W260340778","https://openalex.org/W1990839018","https://openalex.org/W2033103392","https://openalex.org/W2046937081","https://openalex.org/W2069630976","https://openalex.org/W2069657338","https://openalex.org/W2070515450","https://openalex.org/W2078145996","https://openalex.org/W2082337314","https://openalex.org/W2096867974","https://openalex.org/W2105559527","https://openalex.org/W2116482758","https://openalex.org/W2118242375","https://openalex.org/W2118265684","https://openalex.org/W2134057927","https://openalex.org/W2138253682","https://openalex.org/W2143851127","https://openalex.org/W2147599721","https://openalex.org/W2150348213","https://openalex.org/W2159772409","https://openalex.org/W2163641194","https://openalex.org/W2296232473","https://openalex.org/W2338462669","https://openalex.org/W2341439142","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2357156800","https://openalex.org/W4233503667","https://openalex.org/W2051223119","https://openalex.org/W2358187454","https://openalex.org/W4301239495","https://openalex.org/W1996292299","https://openalex.org/W1997741066","https://openalex.org/W3180955323","https://openalex.org/W1968570050","https://openalex.org/W3048253466"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"article,":[3],"we":[4,33,47,73],"describe":[5],"the":[6,22,28,45,54,58,63,70,75,86],"differential":[7,77],"equations":[8,78],"on":[9,21,40,79],"functions":[10,39],"from":[11],"R":[12],"into":[13],"real":[14,41,80],"Banach":[15,81],"space.":[16,43,82],"The":[17],"descriptions":[18,50],"are":[19],"based":[20],"article":[23,55,59,71],"[20].":[24],"As":[25],"preliminary":[26],"to":[27,49,85],"proof":[29,46,89],"of":[30,37,65,88],"these":[31],"theorems,":[32],"proved":[34,74],"some":[35],"properties":[36],"differentiable":[38],"normed":[42],"For":[44],"referred":[48,84],"and":[51,57],"theorems":[52,64],"in":[53,69,90],"[21]":[56],"[32].":[60],"And":[61],"applying":[62],"Riemann":[66],"integral":[67],"introduced":[68],"[22],":[72],"ordinary":[76],"We":[83],"methods":[87],"[30].":[91]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
