{"id":"https://openalex.org/W24966819","doi":"https://doi.org/10.1007/978-94-010-3323-7_15","title":"Existence of Periodic Solutions of Differential Equations of Second Order","display_name":"Existence of Periodic Solutions of Differential Equations of Second Order","publication_year":1970,"publication_date":"1970-01-01","ids":{"openalex":"https://openalex.org/W24966819","doi":"https://doi.org/10.1007/978-94-010-3323-7_15","mag":"24966819"},"language":"en","primary_location":{"id":"doi:10.1007/978-94-010-3323-7_15","doi":"https://doi.org/10.1007/978-94-010-3323-7_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-010-3323-7_15","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodic Orbits, Stability and Resonances","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W137366537","display_name":"Periodic Orbits, Stability and Resonances"},"type":"book-chapter","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/A5020450687","display_name":"Marko \u0160vec","orcid":"https://orcid.org/0000-0001-8120-5072","observed_orcids":["https://orcid.org/0000-0001-8120-5072"]},"institutions":[{"id":"https://openalex.org/I126158947","display_name":"Universidade Federal da Bahia","ror":"https://ror.org/03k3p7647","country_code":"BR","type":"education","lineage":["https://openalex.org/I126158947"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Marko \u0160vec","raw_affiliation_strings":["Universidade Federal da Bahia, Brasil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Federal da Bahia, Brasil","institution_ids":["https://openalex.org/I126158947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020450687"],"corresponding_institution_ids":["https://openalex.org/I126158947"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00967742,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"168","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9717000126838684,"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":0.9717000126838684,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.02710000053048134,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.00019999999494757503,"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/periodic-solutions","display_name":"periodic solutions","score":0.9580000042915344},{"id":"https://openalex.org/keywords/second-order-differential-equations","display_name":"second-order differential equations","score":0.9449999928474426},{"id":"https://openalex.org/keywords/periodic-boundary-value-problems","display_name":"periodic boundary value problems","score":0.7889999747276306},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8019999861717224},{"id":"https://openalex.org/keywords/nonlinear-ordinary-differential-equations","display_name":"nonlinear ordinary differential equations","score":0.6840000152587891}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.699184775352478},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6323956847190857},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5528780221939087},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.5315620303153992},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.49852824211120605},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4676819443702698},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40037086606025696},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3416745066642761},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34044215083122253},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-94-010-3323-7_15","doi":"https://doi.org/10.1007/978-94-010-3323-7_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-010-3323-7_15","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodic Orbits, Stability and Resonances","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1997935089"],"related_works":["https://openalex.org/W2260136577","https://openalex.org/W2150096804","https://openalex.org/W2328967475","https://openalex.org/W1991983019","https://openalex.org/W3043516796","https://openalex.org/W2148679418","https://openalex.org/W2900653290","https://openalex.org/W1497028617","https://openalex.org/W2042946512","https://openalex.org/W2076027995"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}
