{"id":"https://openalex.org/W4409044979","doi":"https://doi.org/10.3390/axioms14040266","title":"Abstract Degenerate Non-Scalar Volterra Equations on the Line","display_name":"Abstract Degenerate Non-Scalar Volterra Equations on the Line","publication_year":2025,"publication_date":"2025-04-01","ids":{"openalex":"https://openalex.org/W4409044979","doi":"https://doi.org/10.3390/axioms14040266"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040266","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040266","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14040266","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074048649","display_name":"Marko Kosti\u0107","orcid":"https://orcid.org/0000-0002-0392-4976"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Marko Kosti\u0107","raw_affiliation_strings":["Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi\u0107a 6, 21125 Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi\u0107a 6, 21125 Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074048649"],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12087484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"4","first_page":"266","last_page":"266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9993000030517578,"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/T13234","display_name":"advanced mathematical theories","score":0.9993000030517578,"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":0.9991000294685364,"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":0.9980000257492065,"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/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.7614073753356934},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6924318075180054},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.6218331456184387},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4897496700286865},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.45619329810142517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44609126448631287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3228248953819275},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19251060485839844},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14428207278251648},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12437453866004944}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7614073753356934},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6924318075180054},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.6218331456184387},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4897496700286865},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.45619329810142517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44609126448631287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3228248953819275},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19251060485839844},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14428207278251648},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12437453866004944}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040266","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040266","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2a67c41caf1c432f9ed4037b14076ffb","is_oa":true,"landing_page_url":"https://doaj.org/article/2a67c41caf1c432f9ed4037b14076ffb","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 266 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040266","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040266","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W331101580","https://openalex.org/W848645241","https://openalex.org/W1988591348","https://openalex.org/W2011296679","https://openalex.org/W2139310057","https://openalex.org/W2313615708","https://openalex.org/W2314193448","https://openalex.org/W2943897071","https://openalex.org/W2944637821","https://openalex.org/W2945775162","https://openalex.org/W3162117442","https://openalex.org/W3217456124","https://openalex.org/W4230923404","https://openalex.org/W4292506179","https://openalex.org/W4295287519","https://openalex.org/W4391812107","https://openalex.org/W4402482073"],"related_works":["https://openalex.org/W2353039109","https://openalex.org/W4315588385","https://openalex.org/W2061564118","https://openalex.org/W3124638673","https://openalex.org/W2066153363","https://openalex.org/W2900100504","https://openalex.org/W1579795934","https://openalex.org/W4298177547","https://openalex.org/W3045489607","https://openalex.org/W4255470196"],"abstract_inverted_index":{"The":[0],"main":[1],"aim":[2],"of":[3,13,18,44,61],"this":[4],"paper":[5],"is":[6],"to":[7,29],"investigate":[8],"the":[9,25,36,42,62],"existence":[10],"and":[11,53,58],"uniqueness":[12],"solutions":[14],"for":[15],"some":[16],"classes":[17],"abstract":[19],"degenerate":[20],"non-scalar":[21],"Volterra":[22],"equations":[23],"on":[24],"line.":[26],"In":[27],"order":[28],"achieve":[30],"our":[31,49],"aims,":[32],"we":[33],"essentially":[34],"apply":[35],"vector-valued":[37],"Fourier":[38],"transform.":[39],"We":[40],"use":[41],"class":[43],"(A,k,B)-regularized":[45],"C-pseudoresolvent":[46],"families":[47],"in":[48],"analysis":[50],"as":[51],"well,":[52],"present":[54],"several":[55],"useful":[56],"remarks":[57],"illustrative":[59],"applications":[60],"established":[63],"results.":[64]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
