{"id":"https://openalex.org/W2079612493","doi":"https://doi.org/10.1155/2012/465867","title":"Solution Matching for a Second Order Boundary Value Problem on Time Scales","display_name":"Solution Matching for a Second Order Boundary Value Problem on Time Scales","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2079612493","doi":"https://doi.org/10.1155/2012/465867","mag":"2079612493"},"language":"en","primary_location":{"id":"doi:10.1155/2012/465867","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/465867","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/465867.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2012/465867.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020000507","display_name":"A. Lanz","orcid":null},"institutions":[{"id":"https://openalex.org/I185641255","display_name":"Virginia Military Institute","ror":"https://ror.org/01ngnm118","country_code":"US","type":"education","lineage":["https://openalex.org/I185641255"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aprillya Lanz","raw_affiliation_strings":["Department of Mathematics and Computer Science, Virginia Military Institute, Lexington, VA 24450, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Virginia Military Institute, Lexington, VA 24450, USA","institution_ids":["https://openalex.org/I185641255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084210577","display_name":"Ana M. Tameru","orcid":null},"institutions":[{"id":"https://openalex.org/I145611464","display_name":"Alabama State University","ror":"https://ror.org/01eedy375","country_code":"US","type":"education","lineage":["https://openalex.org/I145611464"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ana Tameru","raw_affiliation_strings":["Department of Mathematics and Computer Science, Alabama State University, 915 S. Jackson Street, Montgomery, AL 36101, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Alabama State University, 915 S. Jackson Street, Montgomery, AL 36101, USA","institution_ids":["https://openalex.org/I145611464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084210577"],"corresponding_institution_ids":["https://openalex.org/I145611464"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15603751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9955000281333923,"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":0.9955000281333923,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9383000135421753,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9282000064849854,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/font","display_name":"Font","score":0.8106346130371094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6559925079345703},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5757473707199097},{"id":"https://openalex.org/keywords/style","display_name":"Style (visual arts)","score":0.44566217064857483},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43925729393959045},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4213448762893677},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20324242115020752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1383671760559082},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10268685221672058},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09142687916755676},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.07959571480751038},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.06926798820495605}],"concepts":[{"id":"https://openalex.org/C2777737414","wikidata":"https://www.wikidata.org/wiki/Q4868296","display_name":"Font","level":2,"score":0.8106346130371094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6559925079345703},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5757473707199097},{"id":"https://openalex.org/C2776445246","wikidata":"https://www.wikidata.org/wiki/Q1792644","display_name":"Style (visual arts)","level":2,"score":0.44566217064857483},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43925729393959045},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4213448762893677},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20324242115020752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1383671760559082},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10268685221672058},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09142687916755676},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.07959571480751038},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.06926798820495605},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/465867","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/465867","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/465867.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:465867","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/465867.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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"},{"id":"pmh:oai:cdm15821.contentdm.oclc.org:p15821coll9/4","is_oa":false,"landing_page_url":"http://cdm15821.contentdm.oclc.org/cdm/ref/collection/p15821coll9/id/4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:doaj.org/article:33914051843b4b83b713698b684cd459","is_oa":true,"landing_page_url":"https://doaj.org/article/33914051843b4b83b713698b684cd459","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2012/465867","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/465867","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:10.1155/2012/465867","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/465867","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/465867.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2079612493.pdf","grobid_xml":"https://content.openalex.org/works/W2079612493.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W271810198","https://openalex.org/W616418331","https://openalex.org/W1978600274","https://openalex.org/W1991185191","https://openalex.org/W2010261886","https://openalex.org/W2027683458","https://openalex.org/W2031481761","https://openalex.org/W2033638664","https://openalex.org/W2049551619","https://openalex.org/W2050204089","https://openalex.org/W2066237774","https://openalex.org/W2066397800","https://openalex.org/W2073826157","https://openalex.org/W2080508280","https://openalex.org/W2166035202","https://openalex.org/W2470755550","https://openalex.org/W3142069859","https://openalex.org/W4212879997","https://openalex.org/W4232184950"],"related_works":["https://openalex.org/W2402920184","https://openalex.org/W2147687867","https://openalex.org/W2582695981","https://openalex.org/W2612325988","https://openalex.org/W2496907786","https://openalex.org/W2483185727","https://openalex.org/W2490611030","https://openalex.org/W3022607756","https://openalex.org/W2043030904","https://openalex.org/W2327192489"],"abstract_inverted_index":{"Let":[0],"T":[1,42,64,78,84],"be":[2],"a":[3,8,45,52,66],"time":[4],"scale":[5],"such":[6],"that":[7],"<":[9],"b;":[10],"a,":[11,40,62,82],"b":[12,41,48,77,83],"T.":[13],"We":[14],"will":[15],"show":[16],"the":[17,24,55,69],"existence":[18],"and":[19],"uniqueness":[20],"of":[21,54,68],"solutions":[22],"for":[23],"second-order":[25],"boundary":[26,59,73],"value":[27],"problem":[28],"y":[29,33,36,44,47],"t":[30,34,37,39],"f":[31],"t,":[32],",":[35,38,43,79],"A,":[46],"B,":[49],"by":[50],"matching":[51],"solution":[53,67],"first":[56,70],"equation":[57,71],"satisfying":[58,72],"conditions":[60,74],"on":[61,75],"c":[63,81],"with":[65],"c,":[76],"where":[80],".":[85]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
