dc.creator | Providas E., Parasidis I.N. | en |
dc.date.accessioned | 2023-01-31T09:50:49Z | |
dc.date.available | 2023-01-31T09:50:49Z | |
dc.date.issued | 2021 | |
dc.identifier | 10.3390/a14120346 | |
dc.identifier.issn | 19994893 | |
dc.identifier.uri | http://hdl.handle.net/11615/78389 | |
dc.description.abstract | The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions. We use the theory of the extensions of linear operators in Banach spaces and establish conditions for the decomposition of the integro-differential operator into two lower-order integro-differential operators. We also create solvability criteria and derive the unique solution in closed form. Two example problems for an ordinary and a partial intergro-differential equation respectively are solved. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. | en |
dc.language.iso | en | en |
dc.source | Algorithms | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121444714&doi=10.3390%2fa14120346&partnerID=40&md5=a8d6fad87b14f13ab35548d1462067de | |
dc.subject | Banach spaces | en |
dc.subject | Boundary conditions | en |
dc.subject | Boundary value problems | en |
dc.subject | Factorization | en |
dc.subject | Mathematical operators | en |
dc.subject | Ordinary differential equations | en |
dc.subject | Boundary-value problem | en |
dc.subject | Decomposition of operator | en |
dc.subject | Exact solution | en |
dc.subject | Fredholm integro-differential equations | en |
dc.subject | Integral conditions | en |
dc.subject | Integro differential operator | en |
dc.subject | Linear integro-differential equations | en |
dc.subject | Multi-point boundary conditions | en |
dc.subject | Multipoint conditions | en |
dc.subject | Nonlocal boundary-value problems | en |
dc.subject | Integrodifferential equations | en |
dc.subject | MDPI | en |
dc.title | A procedure for factoring and solving nonlocal boundary value problems for a type of linear integro-differential equations | en |
dc.type | journalArticle | en |