Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter
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Dosyalar
Tarih
2015
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Dergi Başlığı
Dergi ISSN
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Yayıncı
SpringerOpen (part of Springer Nature)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 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.
Açıklama
WOS:000349235300007
Anahtar Kelimeler
Sturm-Liouville Equations, Eigenparameter, Eigenvalues, Spectral Singularities
Kaynak
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Yokuş, 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.
