{"id":"https://openalex.org/W2095528744","doi":"https://doi.org/10.1155/2011/378389","title":"Periodic Solutions for Autonomous (<i>q</i>, <i>p</i>)\u2010Laplacian System with Impulsive Effects","display_name":"Periodic Solutions for Autonomous (<i>q</i>, <i>p</i>)\u2010Laplacian System with Impulsive Effects","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2095528744","doi":"https://doi.org/10.1155/2011/378389","mag":"2095528744"},"language":"en","primary_location":{"id":"doi:10.1155/2011/378389","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/378389","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/378389.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2011/378389.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081732807","display_name":"Xiaoxia Yang","orcid":"https://orcid.org/0000-0002-0670-053X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoxia Yang","raw_affiliation_strings":["School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China","School of Mathematical Sciences and Computing Technology,Central South University,Changsha Hunan 410083,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Mathematical Sciences and Computing Technology,Central South University,Changsha Hunan 410083,China)","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109069496","display_name":"Haibo Chen","orcid":"https://orcid.org/0000-0002-9868-7079"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haibo Chen","raw_affiliation_strings":["School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China","School of Mathematical Sciences and Computing Technology,Central South University,Changsha Hunan 410083,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Mathematical Sciences and Computing Technology,Central South University,Changsha Hunan 410083,China)","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":1025,"currency":"USD","value_usd":1050},"apc_paid":{"value":1025,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.17210145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2011","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9997000098228455,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9997000098228455,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9994999766349792,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6096630692481995},{"id":"https://openalex.org/keywords/p-laplacian","display_name":"p-Laplacian","score":0.5468929409980774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5388919711112976},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4530385136604309},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4487732946872711},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33398884534835815},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.03530547022819519}],"concepts":[{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6096630692481995},{"id":"https://openalex.org/C203269682","wikidata":"https://www.wikidata.org/wiki/Q7116898","display_name":"p-Laplacian","level":3,"score":0.5468929409980774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5388919711112976},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4530385136604309},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4487732946872711},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33398884534835815},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.03530547022819519}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2011/378389","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/378389","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/378389.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1331818686","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1331818686","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:883efc5fe2b1436694e3f609f8c541ac","is_oa":true,"landing_page_url":"https://doaj.org/article/883efc5fe2b1436694e3f609f8c541ac","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2011 (2011)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2011/378389","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/378389","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2011/378389","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/378389","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/378389.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2095528744.pdf","grobid_xml":"https://content.openalex.org/works/W2095528744.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1484404884","https://openalex.org/W1526300434","https://openalex.org/W1575983931","https://openalex.org/W1594468466","https://openalex.org/W1606042292","https://openalex.org/W1810758540","https://openalex.org/W1968235341","https://openalex.org/W1969429911","https://openalex.org/W1974315101","https://openalex.org/W1976241381","https://openalex.org/W1980128581","https://openalex.org/W1987682875","https://openalex.org/W1989219886","https://openalex.org/W1989232781","https://openalex.org/W1995546236","https://openalex.org/W1998109905","https://openalex.org/W1999802961","https://openalex.org/W2000980687","https://openalex.org/W2010938920","https://openalex.org/W2012396725","https://openalex.org/W2015113115","https://openalex.org/W2029125428","https://openalex.org/W2034148075","https://openalex.org/W2034903701","https://openalex.org/W2049245509","https://openalex.org/W2058270372","https://openalex.org/W2069225191","https://openalex.org/W2074590488","https://openalex.org/W2088293519","https://openalex.org/W2092746418","https://openalex.org/W2105054708","https://openalex.org/W2129026697","https://openalex.org/W2646258264","https://openalex.org/W2988126625","https://openalex.org/W3034043619"],"related_works":["https://openalex.org/W2151788382","https://openalex.org/W2387225875","https://openalex.org/W2350364614","https://openalex.org/W2770044459","https://openalex.org/W1991600766","https://openalex.org/W4313579305","https://openalex.org/W2051480307","https://openalex.org/W2080397963","https://openalex.org/W2794548011","https://openalex.org/W4312612931"],"abstract_inverted_index":{"By":[0],"using":[1],"the":[2],"variational":[3],"method,":[4],"some":[5],"existence":[6],"theorems":[7],"are":[8],"obtained":[9],"for":[10],"periodic":[11],"solutions":[12],"of":[13],"autonomous":[14],"(":[15],"q":[16],",":[17],"p":[18],")\u2010Laplacian":[19],"system":[20],"with":[21],"impulsive":[22],"effects.":[23]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2016-06-24T00:00:00"}
