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dc.contributor.authorGasilov, Nizami A.
dc.contributor.authorAmrahov, Sahin Emrah
dc.date.accessioned2020-10-14T07:49:39Z
dc.date.available2020-10-14T07:49:39Z
dc.date.issued2019
dc.identifier.issn0170-4214en_US
dc.identifier.urihttp://hdl.handle.net/11727/4885
dc.description.abstractIn this study, a new approach is developed to solve the initial value problem for interval linear differential equations. In the considered problem, the coefficients and the initial values are constant intervals. In the developed approach, there is no need to define a derivative for interval-valued functions. All derivatives used in the approach are classical derivatives of real functions. The reason for this is that the solution of the problem is defined as a bunch of real functions. Such a solution concept is compatible also with the robust stability concept. Sufficient conditions are provided for the solution to be expressed analytically. In addition, on a numerical example, the solution obtained by the proposed approach is compared with the solution obtained by the generalized Hukuhara differentiability. It is shown that the proposed approach gives a new type of solution. The main advantage of the proposed approach is that the solution to the considered interval initial value problem exists and is unique, as in the real case.en_US
dc.language.isoengen_US
dc.relation.isversionof10.1002/mma.6006en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectbunch of functionsen_US
dc.subjectinterval differential equationsen_US
dc.subjectlinear differential equationsen_US
dc.titleOn differential equations with interval coefficientsen_US
dc.typearticleen_US
dc.relation.journalMATHEMATICAL METHODS IN THE APPLIED SCIENCESen_US
dc.identifier.volume43en_US
dc.identifier.issue4en_US
dc.identifier.startpage1825en_US
dc.identifier.endpage1837en_US
dc.identifier.wos000495804100001en_US
dc.identifier.scopus2-s2.0-85064976162en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergien_US
dc.contributor.researcherIDAAN-9386-2020en_US


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