On eigenfunctions of Hill's equation with symmetric double well potential

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dc.contributor.authorKabataş, Ayşe
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-28T08:03:25Z
dc.date.available2022-12-28T08:03:25Z
dc.date.issued2022
dc.description.abstractThroughout this paper the asymptotic approximations for eigen- functions of eigenvalue problems associated with Hill’s equation satisfying periodic and semi-periodic boundary conditions are derived when the potential is symmetric double well. These approximations are used to determine the Green’s functions of the related problems. Then, the obtained results are adapted to the Whittaker-Hill equation which has the symmetric double well potential and is widely investigated in the literature.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage649tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue3tr_TR
dc.identifier.startpage634tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.974409tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86527
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.974409tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectHill's equation, symmetric double well potential, periodic and semi-periodic eigenfunctions, Green's functions, asymptoticstr_TR
dc.titleOn eigenfunctions of Hill's equation with symmetric double well potentialtr_TR
dc.typeArticletr_TR

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