InvestigationofthespectrumandtheJost solutionsofdiscreteDiracsystemonthe wholeaxis
| dc.contributor.author | Aygar, Yelda | |
| dc.contributor.author | Olgun, Murat | |
| dc.contributor.department | Fen Fakültesi | tr_TR |
| dc.date.accessioned | 2020-02-17T21:32:51Z | |
| dc.date.available | 2020-02-17T21:32:51Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | Weconsidertheboundaryvalueproblem(BVP)forthediscreteDiracequations y(2) n+1 –y(2) n +pny(1) n =λy(1) n , y(1) n–1 –y(1) n +qny(2) n =λy(2) n , n∈Z ={0,±1,±2,...}; y(1) 0 =0, where(pn)and(qn),n∈Z arerealsequences,and λ isaneigenparameter.Wefinda polynomialtypeJostsolutionofthisBVP.Thenweinvestigatetheanalytical propertiesandasymptoticbehavioroftheJostsolution.UsingtheWeylcompact perturbationtheorem,weprovethataself-adjointdiscreteDiracsystemhasa continuousspectrumfillingthesegment[–2,2].WealsoprovethattheDiracsystem hasafinitenumberofrealeigenvalues. | tr_TR |
| dc.description.index | Wos | |
| dc.identifier.endpage | 9 | tr_TR |
| dc.identifier.issn/e-issn | 1025-5834 | |
| dc.identifier.issn/e-issn | 1029-242X | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.other | 73 | tr_TR |
| dc.identifier.startpage | 1 | tr_TR |
| dc.identifier.uri | https://doi.org/10.1186/1029-242X-2014-73 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/69693 | |
| dc.identifier.volume | 2014 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.relation.isversionof | 10.1186/1029-242X-2014-73 | tr_TR |
| dc.relation.journal | Journal of Inequalities and Applications | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | tr_TR |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.title | InvestigationofthespectrumandtheJost solutionsofdiscreteDiracsystemonthe wholeaxis | tr_TR |
| dc.type | Article | tr_TR |