{"id":"https://openalex.org/W2028258427","doi":"https://doi.org/10.1155/2012/434938","title":"Existence of Subharmonic Solutions for a Class of Second\u2010Order <i>p</i>\u2010Laplacian Systems with Impulsive Effects","display_name":"Existence of Subharmonic Solutions for a Class of Second\u2010Order <i>p</i>\u2010Laplacian Systems with Impulsive Effects","publication_year":2011,"publication_date":"2011-08-21","ids":{"openalex":"https://openalex.org/W2028258427","doi":"https://doi.org/10.1155/2012/434938","mag":"2028258427"},"language":"en","primary_location":{"id":"doi:10.1155/2012/434938","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/434938","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/434938.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/2012/434938.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069190050","display_name":"Gong Wen-zhen","orcid":null},"institutions":[{"id":"https://openalex.org/I27462735","display_name":"Yulin Normal University","ror":"https://ror.org/00445hv47","country_code":"CN","type":"education","lineage":["https://openalex.org/I27462735"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen-Zhen Gong","raw_affiliation_strings":["Department of Mathematics and Computation Science, Yulin Normal University, Yulin, Guangxi 537000, China","Department of Mathematics and Computation Science, Yulin Normal University, Yulin, Guangxi 537000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation Science, Yulin Normal University, Yulin, Guangxi 537000, China","institution_ids":["https://openalex.org/I27462735"]},{"raw_affiliation_string":"Department of Mathematics and Computation Science, Yulin Normal University, Yulin, Guangxi 537000","institution_ids":["https://openalex.org/I27462735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034746335","display_name":"Qiongfen Zhang","orcid":"https://orcid.org/0000-0002-7037-1961"},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiongfen Zhang","raw_affiliation_strings":["College of Science, Guilin University of Technology, Guilin, Guangxi 541004, China","College of Science, Guilin University of Technology, Guilin, Guangxi 541004"],"affiliations":[{"raw_affiliation_string":"College of Science, Guilin University of Technology, Guilin, Guangxi 541004, China","institution_ids":["https://openalex.org/I38706770"]},{"raw_affiliation_string":"College of Science, Guilin University of Technology, Guilin, Guangxi 541004","institution_ids":["https://openalex.org/I38706770"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069174584","display_name":"Xianhua Tang","orcid":"https://orcid.org/0000-0001-7963-0782"},"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":"X. H. Tang","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"],"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","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034746335"],"corresponding_institution_ids":["https://openalex.org/I38706770"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.488,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8761175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9993000030517578,"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":0.991599977016449,"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/class","display_name":"Class (philosophy)","score":0.5981971025466919},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5724543333053589},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5466738939285278},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5440321564674377},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5262198448181152},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.385763943195343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3297014832496643},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24954867362976074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2340030074119568},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.10356837511062622},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09378945827484131}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5981971025466919},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5724543333053589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5466738939285278},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5440321564674377},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5262198448181152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.385763943195343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3297014832496643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24954867362976074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2340030074119568},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.10356837511062622},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09378945827484131},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/434938","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/434938","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/434938.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/1331817303","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1331817303","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:1df08dbe9d6a458e8b558f9730628734","is_oa":true,"landing_page_url":"https://doaj.org/article/1df08dbe9d6a458e8b558f9730628734","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/434938","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/434938","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/434938.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":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5978720612","display_name":null,"funder_award_id":"10771215","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6064448674","display_name":null,"funder_award_id":"2010GXNSFA013125","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G6900292751","display_name":null,"funder_award_id":"10771215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6930837555","display_name":null,"funder_award_id":"2010GXNSFA013125","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2028258427.pdf","grobid_xml":"https://content.openalex.org/works/W2028258427.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W580296679","https://openalex.org/W1575983931","https://openalex.org/W1592309057","https://openalex.org/W1963745152","https://openalex.org/W1976312598","https://openalex.org/W1981710096","https://openalex.org/W1987682875","https://openalex.org/W1994256825","https://openalex.org/W1999661822","https://openalex.org/W2000931657","https://openalex.org/W2007426063","https://openalex.org/W2011223503","https://openalex.org/W2019405736","https://openalex.org/W2025932652","https://openalex.org/W2029125428","https://openalex.org/W2043472786","https://openalex.org/W2047333038","https://openalex.org/W2050240106","https://openalex.org/W2050803380","https://openalex.org/W2058270372","https://openalex.org/W2069225191","https://openalex.org/W2070222771","https://openalex.org/W2070775184","https://openalex.org/W2086108007","https://openalex.org/W2086184014","https://openalex.org/W2088950727","https://openalex.org/W2105054708","https://openalex.org/W2147088130","https://openalex.org/W2149326619"],"related_works":["https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2895916002","https://openalex.org/W1530911128","https://openalex.org/W1814049089","https://openalex.org/W2369683208","https://openalex.org/W2084836983","https://openalex.org/W1977348009","https://openalex.org/W2362133437","https://openalex.org/W2348093013"],"abstract_inverted_index":{"By":[0],"using":[1],"minimax":[2],"methods":[3],"in":[4,36],"critical":[5],"point":[6],"theory,":[7],"a":[8,20],"new":[9],"existence":[10],"theorem":[11],"of":[12,22],"infinitely":[13],"many":[14,33],"periodic":[15],"solutions":[16],"is":[17],"obtained":[18],"for":[19],"class":[21],"second\u2010order":[23],"p":[24],"\u2010Laplacian":[25],"systems":[26],"with":[27],"impulsive":[28],"effects.":[29],"Our":[30],"result":[31],"generalizes":[32],"known":[34],"works":[35],"the":[37],"literature.":[38]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}
