{"id":"https://openalex.org/W130237697","doi":"https://doi.org/10.21136/cpm.1977.117944","title":"On distributional solutions of some systems of linear differential equations","display_name":"On distributional solutions of some systems of linear differential equations","publication_year":1977,"publication_date":"1977-01-01","ids":{"openalex":"https://openalex.org/W130237697","doi":"https://doi.org/10.21136/cpm.1977.117944","mag":"130237697"},"language":"cs","primary_location":{"id":"doi:10.21136/cpm.1977.117944","doi":"https://doi.org/10.21136/cpm.1977.117944","is_oa":true,"landing_page_url":"https://doi.org/10.21136/cpm.1977.117944","pdf_url":null,"source":{"id":"https://openalex.org/S4210207271","display_name":"\u010casopis pro p\u011bstov\u00e1n\u00ed matematiky","issn_l":"0528-2195","issn":["0528-2195"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310322158","host_organization_name":"Institute of Mathematics of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310322158","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Mathematics of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u010casopis pro p\u011bstov\u00e1n\u00ed matematiky","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.21136/cpm.1977.117944","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010028641","display_name":"Jan Lig\u0119za","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jan Lig\u0119za","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5010028641"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.01004155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"102","issue":"1","first_page":"37","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9307000041007996,"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"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9307000041007996,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.0617000013589859,"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":0.005100000184029341,"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/distributional-solutions","display_name":"distributional solutions","score":0.9779999852180481},{"id":"https://openalex.org/keywords/linear-differential-systems","display_name":"linear differential systems","score":0.9070000052452087},{"id":"https://openalex.org/keywords/generalized-functions","display_name":"generalized functions","score":0.7929999828338623},{"id":"https://openalex.org/keywords/fundamental-solutions","display_name":"fundamental solutions","score":0.33899998664855957}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5688350200653076},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.5576627254486084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.505151093006134},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4253884255886078},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42097359895706177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4070603847503662}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.21136/cpm.1977.117944","doi":"https://doi.org/10.21136/cpm.1977.117944","is_oa":true,"landing_page_url":"https://doi.org/10.21136/cpm.1977.117944","pdf_url":null,"source":{"id":"https://openalex.org/S4210207271","display_name":"\u010casopis pro p\u011bstov\u00e1n\u00ed matematiky","issn_l":"0528-2195","issn":["0528-2195"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310322158","host_organization_name":"Institute of Mathematics of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310322158","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Mathematics of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u010casopis pro p\u011bstov\u00e1n\u00ed matematiky","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/117944","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/117944","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/117944/CasPestMat_102-1977-1_5.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"type:math"},{"id":"pmh:oai:ojs.www.journals.us.edu.pl:article/14306","doi":null,"is_oa":true,"landing_page_url":"https://journals.us.edu.pl/index.php/AMSIL/article/view/14306","pdf_url":null,"source":{"id":"https://openalex.org/S4377196654","display_name":"PUBLISHING HOUSE OF THE UNIVERSITY OF SILESIA (University of Silesia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I864159182","host_organization_name":"University of Silesia in Katowice","host_organization_lineage":["https://openalex.org/I864159182"],"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":"0860-2107","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:3144232725","doi":null,"is_oa":false,"landing_page_url":"http://www.sbc.org.pl/Content/82462/the_distributional_solutions_of_some_systems.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.21136/cpm.1977.117944","doi":"https://doi.org/10.21136/cpm.1977.117944","is_oa":true,"landing_page_url":"https://doi.org/10.21136/cpm.1977.117944","pdf_url":null,"source":{"id":"https://openalex.org/S4210207271","display_name":"\u010casopis pro p\u011bstov\u00e1n\u00ed matematiky","issn_l":"0528-2195","issn":["0528-2195"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310322158","host_organization_name":"Institute of Mathematics of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310322158","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Mathematics of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u010casopis pro p\u011bstov\u00e1n\u00ed matematiky","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W130237697.pdf","grobid_xml":"https://content.openalex.org/works/W130237697.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W814500104","https://openalex.org/W1980870141","https://openalex.org/W3047811261","https://openalex.org/W4249646455"],"related_works":["https://openalex.org/W3047811261","https://openalex.org/W3047703699","https://openalex.org/W2082694585","https://openalex.org/W295647181","https://openalex.org/W3047734896","https://openalex.org/W2003224223","https://openalex.org/W814500104","https://openalex.org/W3048170111","https://openalex.org/W4210383092","https://openalex.org/W2591404650"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"prove":[4],"a":[5],"theorem":[6],"on":[7],"the":[8,13,16],"existence":[9],"and":[10],"uniqueness":[11],"of":[12,15],"solution":[14],"Cauchy":[17],"problem":[18],"for":[19],"linear":[20],"differential":[21],"equations":[22],"with":[23],"distributional":[24],"coefficients.":[25]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}