{"id":"https://openalex.org/W1999980929","doi":"https://doi.org/10.1155/2012/794040","title":"Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations","display_name":"Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1999980929","doi":"https://doi.org/10.1155/2012/794040","mag":"1999980929"},"language":"en","primary_location":{"id":"doi:10.1155/2012/794040","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/794040","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2012/794040.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":"http://downloads.hindawi.com/journals/ijmms/2012/794040.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050495989","display_name":"Indranil SenGupta","orcid":"https://orcid.org/0000-0002-4842-1352"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Indranil SenGupta","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at El Paso, Bell Hall 316, El Paso, TX 79968-0514, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at El Paso, Bell Hall 316, El Paso, TX 79968-0514, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075573967","display_name":"Maria C. Mariani","orcid":"https://orcid.org/0009-0003-2699-7478"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maria C. Mariani","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at El Paso, Bell Hall 124, El Paso, TX 79968-0514, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at El Paso, Bell Hall 124, El Paso, TX 79968-0514, USA","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050495989"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"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":0.09252898,"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":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9932000041007996,"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":0.9932000041007996,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.991599977016449,"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":0.9861999750137329,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/font","display_name":"Font","score":0.786961019039154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.641470193862915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5732473134994507},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49324196577072144},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43849822878837585},{"id":"https://openalex.org/keywords/style","display_name":"Style (visual arts)","score":0.4343172013759613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09413230419158936},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07543423771858215},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.05484780669212341}],"concepts":[{"id":"https://openalex.org/C2777737414","wikidata":"https://www.wikidata.org/wiki/Q4868296","display_name":"Font","level":2,"score":0.786961019039154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.641470193862915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5732473134994507},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49324196577072144},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43849822878837585},{"id":"https://openalex.org/C2776445246","wikidata":"https://www.wikidata.org/wiki/Q1792644","display_name":"Style (visual arts)","level":2,"score":0.4343172013759613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09413230419158936},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07543423771858215},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.05484780669212341},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/794040","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/794040","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2012/794040.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:794040","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/794040.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:doaj.org/article:26e6819992334504bb9fe52ef9b27482","is_oa":true,"landing_page_url":"https://doaj.org/article/26e6819992334504bb9fe52ef9b27482","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:10.1155/2012/794040","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/794040","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:10.1155/2012/794040","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/794040","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2012/794040.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/W1999980929.pdf","grobid_xml":"https://content.openalex.org/works/W1999980929.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W62717703","https://openalex.org/W637867400","https://openalex.org/W1556248905","https://openalex.org/W1966856493","https://openalex.org/W1975719245","https://openalex.org/W1992736218","https://openalex.org/W1996191702","https://openalex.org/W2008074421","https://openalex.org/W2025620676","https://openalex.org/W2035365512","https://openalex.org/W2066722589","https://openalex.org/W2071822594","https://openalex.org/W2093089508","https://openalex.org/W2118265803","https://openalex.org/W2126266865","https://openalex.org/W2483011088","https://openalex.org/W2727061539","https://openalex.org/W2797996434","https://openalex.org/W2799025687","https://openalex.org/W3216614036","https://openalex.org/W4256528279"],"related_works":["https://openalex.org/W2402920184","https://openalex.org/W2582695981","https://openalex.org/W2612325988","https://openalex.org/W2483185727","https://openalex.org/W3128815814","https://openalex.org/W2487016776","https://openalex.org/W2592284086","https://openalex.org/W2312737637","https://openalex.org/W2322748372","https://openalex.org/W4246957482"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,19,41,55],"general":[3],"semilinear":[4],"second-order":[5],"ODE":[6],"u":[7,11,46,50],"g":[8,47],"t,":[9,48],"u,":[10,49],"0":[12,51],"under":[13,32],"different":[14],"twopoint":[15],"boundary":[16],"conditions.":[17],"Using":[18],"method":[20],"of":[21,43,45],"upper":[22],"and":[23],"lower":[24],"solutions,":[25],"we":[26,38],"obtain":[27],"an":[28],"existence":[29],"result.":[30],"Moreover,":[31],"a":[33],"growth":[34],"condition":[35],"on":[36],"g,":[37],"prove":[39],"that":[40],"set":[42],"solutions":[44],"is":[52],"homeomorphic":[53],"to":[54],"two-dimensional":[56],"real":[57],"space.":[58]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}