scholarly journals Spectral properties of non-selfadjoint Sturm-Liouville operator equation on the real axis

2020 ◽  
pp. 1-9
Author(s):  
Gökhan MUTLU ◽  
Esra KIR ARPAT
Keyword(s):  
Real Axis ◽  
Operator Equation ◽  
Liouville Operator ◽  
Spectral Properties ◽  
The Real ◽  
Sturm Liouville

Spectral Properties of a q-Sturm–Liouville Operator

2008 ◽  
Vol 287 (1) ◽  
pp. 259-274 ◽  
Author(s):  
B. Malcolm Brown ◽  
Jacob S. Christiansen ◽  
Karl Michael Schmidt
Keyword(s):  
Liouville Operator ◽  
Spectral Properties ◽  
Sturm Liouville

scholarly journals Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Erdal Bas
Keyword(s):  
Spectral Theory ◽  
Liouville Operator ◽  
Spectral Properties ◽  
Liouville Problem ◽  
Eigenvalues And Eigenfunctions ◽  
Sturm Liouville

We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximations about the topic.

31.—Spectral Manifolds for Constant Coefficient Elliptic Operators in Lp(Rn)

1975 ◽  
Vol 72 (4) ◽  
pp. 359-369 ◽  
Author(s):  
M. Thompson
Keyword(s):  
Differential Operator ◽  
Real Axis ◽  
Constant Coefficient ◽  
Spectral Properties ◽  
Real Zero ◽  
Partial Differential Operator ◽  
Partial Differential ◽  
The Real ◽  
Resolution Of The Identity ◽  
Norm Of The Resolvent

SynopsisThe principal results of this paper concern the spectral properties of the maximal realisation Pp in Lp(Rn) of a formally self adjoint constant coefficient strongly elliptic partial differential operator P(D), assumed to be homogeneous of order 2m, for 1 ≦ p ≦ ∞ and n ≧ 2. If we assume that , for 2n/n + l ≦ p ≦ 2n/n−1, together with certain assumptions on the associated real zero surfaces P(ξ) = λ, λ > 0, then σ(Pp) = σc(Pp) = [0, ∞). We obtain an estimate on the norm of the resolvent of Pp for points near the real axis, which allows us to establish the existence of a generalised resolution of the identity in the sense of Kocan.

scholarly journals Spectral properties of an impulsive Sturm–Liouville operator

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Elgiz Bairamov ◽  
Ibrahim Erdal ◽  
Seyhmus Yardimci
Keyword(s):  
Liouville Operator ◽  
Spectral Properties ◽  
Sturm Liouville
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