Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter

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dc.authorid0000-0002-5327-2312en_US
dc.contributor.authorYokuş, Nihal
dc.contributor.authorKöprübaşı, Turhan
dc.date.accessioned2019-12-06T21:16:59Z
dc.date.available2019-12-06T21:16:59Z
dc.date.issued2015
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000349235300007en_US
dc.description.abstractIn this paper, we consider the operator L generated in L-2(R+) by the Sturm-Liouville equation -y '' + q(x)y = lambda(2)y, chi is an element of R+ = [0,infinity), and the boundary condition (alpha(0) + alpha(1)lambda + alpha(2)(2 lambda))y' (0) - (beta(0) + beta(1)lambda + beta(2)lambda(2))y(0) = 0, where q is a complex-valued function, alpha(i), beta(i) is an element of C, i = 0, 1, 2, and lambda is an eigenparameter. Under the conditions q, q' is an element of AC((R)+), lim(x ->infinity) vertical bar q(x)vertical bar + vertical bar q'(x)vertical bar = 0, sup(chi is an element of R+) [e(epsilon)root(chi)vertical bar q ''(chi)vertical bar] < infinity, epsilon > 0, using the uniqueness theorems of analytic functions, we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities.en_US
dc.identifier.citationYokuş, N., Koprubasi, T. (2015). Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter. Journal of Inequalities and Applications, 2015, 1, 1-7.en_US
dc.identifier.doi10.1186/s13660-015-0563-1
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84961348279
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://dx.doi.org/10.1186/s13660-015-0563-1
dc.identifier.urihttps://hdl.handle.net/11492/3027
dc.identifier.wosWOS:000349235300007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorYokuş, Nihal
dc.language.isoen
dc.publisherSpringerOpen (part of Springer Nature)en_US
dc.relation.journalJournal of Inequalities and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSturm-Liouville Equationsen_US
dc.subjectEigenparameteren_US
dc.subjectEigenvaluesen_US
dc.subjectSpectral Singularitiesen_US
dc.titleSpectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameteren_US
dc.typeArticle

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