{"id":"https://openalex.org/W1987158472","doi":"https://doi.org/10.1016/s0893-9659(99)00176-7","title":"Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences","display_name":"Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W1987158472","doi":"https://doi.org/10.1016/s0893-9659(99)00176-7","mag":"1987158472"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(99)00176-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(99)00176-7","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5048849410","display_name":"Ana I. Alonso","orcid":null},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A.I. Alonso","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada a la Ingenier\u00eda Universidad de Valladolid, 47011 Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada a la Ingenier\u00eda Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018970203","display_name":"Jialin Hong","orcid":"https://orcid.org/0000-0002-9664-6361"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jialin Hong","raw_affiliation_strings":["Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences, Beijing 100080, P.R. China","Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences, Beijing 100080, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences, Beijing 100080, P.R. China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]},{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences, Beijing 100080, P. R. China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077559088","display_name":"Rafael Obaya","orcid":"https://orcid.org/0000-0003-1983-0402"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"R. Obaya","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada a la Ingenier\u00eda Universidad de Valladolid, 47011 Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada a la Ingenier\u00eda Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3800,"currency":"USD","value_usd":3800},"apc_paid":null,"fwci":2.303,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.85631709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"2","first_page":"131","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9926999807357788,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9926999807357788,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9703999757766724,"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/T11416","display_name":"Numerical methods for differential equations","score":0.902400016784668,"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":0.9100874662399292},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.8459627032279968},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7523916959762573},{"id":"https://openalex.org/keywords/periodic-sequence","display_name":"Periodic sequence","score":0.6662961840629578},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6439183950424194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6091797947883606},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.5502918362617493},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.49628931283950806},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.42349621653556824},{"id":"https://openalex.org/keywords/quasi-periodic","display_name":"Quasi periodic","score":0.4138171672821045},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3671894073486328},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.056910812854766846}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9100874662399292},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.8459627032279968},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7523916959762573},{"id":"https://openalex.org/C120241303","wikidata":"https://www.wikidata.org/wiki/Q3503302","display_name":"Periodic sequence","level":2,"score":0.6662961840629578},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6439183950424194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6091797947883606},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.5502918362617493},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.49628931283950806},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.42349621653556824},{"id":"https://openalex.org/C3019213175","wikidata":"https://www.wikidata.org/wiki/Q7269515","display_name":"Quasi periodic","level":2,"score":0.4138171672821045},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3671894073486328},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.056910812854766846},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0893-9659(99)00176-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(99)00176-7","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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":26,"referenced_works":["https://openalex.org/W37109478","https://openalex.org/W587890827","https://openalex.org/W599536832","https://openalex.org/W645188663","https://openalex.org/W962856448","https://openalex.org/W1551858501","https://openalex.org/W1967047128","https://openalex.org/W1986177663","https://openalex.org/W1986833365","https://openalex.org/W2006752188","https://openalex.org/W2024582341","https://openalex.org/W2050145330","https://openalex.org/W2068937429","https://openalex.org/W2083816818","https://openalex.org/W2333255215","https://openalex.org/W2495370765","https://openalex.org/W4212940716","https://openalex.org/W4213319432","https://openalex.org/W4234237483","https://openalex.org/W4241419451","https://openalex.org/W4245216371","https://openalex.org/W6617100379","https://openalex.org/W6632943008","https://openalex.org/W6651687936","https://openalex.org/W6656665130","https://openalex.org/W6662979881"],"related_works":["https://openalex.org/W2023585323","https://openalex.org/W4247412681","https://openalex.org/W2173152290","https://openalex.org/W2997329441","https://openalex.org/W2390889401","https://openalex.org/W4297742276","https://openalex.org/W2376791506","https://openalex.org/W1987158472","https://openalex.org/W2015637100","https://openalex.org/W2358597054"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}