{"id":"https://openalex.org/W4241155029","doi":"https://doi.org/10.21656/1000-0887.400195","title":"\u4e00\u7c7b\u5206\u6570\u9636\u975e\u7ebf\u6027\u65f6\u6ede\u95ee\u9898\u7684\u5947\u6444\u52a8","display_name":"\u4e00\u7c7b\u5206\u6570\u9636\u975e\u7ebf\u6027\u65f6\u6ede\u95ee\u9898\u7684\u5947\u6444\u52a8","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W4241155029","doi":"https://doi.org/10.21656/1000-0887.400195"},"language":"zh","primary_location":{"id":"doi:10.21656/1000-0887.400195","doi":"https://doi.org/10.21656/1000-0887.400195","is_oa":true,"landing_page_url":"https://doi.org/10.21656/1000-0887.400195","pdf_url":null,"source":{"id":"https://openalex.org/S4210223362","display_name":"\u5e94\u7528\u6570\u5b66\u548c\u529b\u5b66","issn_l":"1000-0887","issn":["1000-0887"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u5e94\u7528\u6570\u5b66\u548c\u529b\u5b66","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.21656/1000-0887.400195","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054013353","display_name":"\u6731\u7ea2\u5b9d","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u6731\u7ea2\u5b9d","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040735001","display_name":"ZHU Hongbao","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"ZHU Hongbao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.27835881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"12","first_page":"1356","last_page":"1363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9613999724388123,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9613999724388123,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.02810000069439411,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.009499999694526196,"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/fractional-differential-equations","display_name":"fractional differential equations","score":0.9240000247955322},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"singular perturbation","score":0.953000009059906},{"id":"https://openalex.org/keywords/boundary-layer-correction","display_name":"boundary layer correction","score":0.722000002861023},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.9110000133514404},{"id":"https://openalex.org/keywords/uniform-validity","display_name":"uniform validity","score":0.550000011920929},{"id":"https://openalex.org/keywords/differential-inequalities","display_name":"differential inequalities","score":0.9359999895095825}],"concepts":[{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.8513983488082886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7122251391410828},{"id":"https://openalex.org/C89407435","wikidata":"https://www.wikidata.org/wiki/Q17098224","display_name":"Method of matched asymptotic expansions","level":3,"score":0.6978015899658203},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.6267242431640625},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.604228138923645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.533452033996582},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.525668203830719},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4839199185371399},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.45448610186576843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4508034586906433},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.42361658811569214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10482731461524963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07195490598678589},{"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:10.21656/1000-0887.400195","doi":"https://doi.org/10.21656/1000-0887.400195","is_oa":true,"landing_page_url":"https://doi.org/10.21656/1000-0887.400195","pdf_url":null,"source":{"id":"https://openalex.org/S4210223362","display_name":"\u5e94\u7528\u6570\u5b66\u548c\u529b\u5b66","issn_l":"1000-0887","issn":["1000-0887"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u5e94\u7528\u6570\u5b66\u548c\u529b\u5b66","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.21656/1000-0887.400195","doi":"https://doi.org/10.21656/1000-0887.400195","is_oa":true,"landing_page_url":"https://doi.org/10.21656/1000-0887.400195","pdf_url":null,"source":{"id":"https://openalex.org/S4210223362","display_name":"\u5e94\u7528\u6570\u5b66\u548c\u529b\u5b66","issn_l":"1000-0887","issn":["1000-0887"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u5e94\u7528\u6570\u5b66\u548c\u529b\u5b66","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2749740306","https://openalex.org/W1986398318","https://openalex.org/W2378119986","https://openalex.org/W4235422854","https://openalex.org/W2570775549","https://openalex.org/W2355120186","https://openalex.org/W1519173431","https://openalex.org/W7100296128","https://openalex.org/W2359923410","https://openalex.org/W2094579680"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,21,60,72],"fractional":[3],"nonlinear":[4],"singularly":[5],"perturbed":[6],"problems":[7],"with":[8,82],"time":[9],"delays":[10],"were":[11],"considered.":[12],"Firstly,":[13],"the":[14,22,40,43,49,58,67,73,76,80,83],"outer":[15],"solution":[16,47,74],"was":[17,30,51,63,87],"constructed":[18],"by":[19],"means":[20],"singular":[23],"perturbation":[24],"method.":[25],"Then,":[26],"a":[27],"stretched":[28],"variable":[29],"introduced":[31],"to":[32,48,65,75],"obtain":[33],"2":[34],"boundary":[35],"layer":[36],"correction":[37],"items":[38],"for":[39],"solution,":[41],"and":[42,79],"asymptotic":[44,70],"analytic":[45],"expansion":[46,71],"problem":[50],"also":[52],"acquired.":[53],"Finally,":[54],"under":[55],"suitable":[56],"conditions,":[57],"theory":[59],"differential":[61],"inequalities":[62],"applied":[64],"prove":[66],"uniformly":[68],"valid":[69],"original":[77],"problem,":[78],"conclusion":[81],"future":[84],"research":[85],"directions":[86],"given.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2022-05-12T00:00:00"}
