{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:22:48Z","timestamp":1760235768297,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,9,14]],"date-time":"2021-09-14T00:00:00Z","timestamp":1631577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well as the composition of linear operators. The method is based on the theory of the extensions of linear operators in Banach spaces.<\/jats:p>","DOI":"10.3390\/axioms10030226","type":"journal-article","created":{"date-parts":[[2021,9,14]],"date-time":"2021-09-14T21:47:21Z","timestamp":1631656041000},"page":"226","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions"],"prefix":"10.3390","volume":"10","author":[{"given":"Efthimios","family":"Providas","sequence":"first","affiliation":[{"name":"Department of Environmental Sciences, Gaiopolis Campus, University of Thessaly, 415 00 Larissa, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefanos","family":"Zaoutsos","sequence":"additional","affiliation":[{"name":"Department of Energy Systems, Gaiopolis Campus, University of Thessaly, 415 00 Larissa, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5260-8232","authenticated-orcid":false,"given":"Ioannis","family":"Faraslis","sequence":"additional","affiliation":[{"name":"Department of Environmental Sciences, Gaiopolis Campus, University of Thessaly, 415 00 Larissa, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/BF00276393","article-title":"The effect of integral conditions in certain equations modelling epidemics and population growth","volume":"10","author":"Busenberg","year":"1980","journal-title":"J. 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