Basis Properties in Lp of a Sturm-Liouville Operator with Spectral Parameter in the Boundary Conditions

2019 ◽  
Vol 55 (2) ◽  
pp. 149-158 ◽  
Author(s):  
N. B. Kerimov
Keyword(s):  
Boundary Conditions ◽  
Spectral Parameter ◽  
Liouville Operator ◽  
Sturm Liouville

scholarly journals Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
A. S. Ozkan ◽  
B. Keskin ◽  
Y. Cakmak
Keyword(s):  
Inverse Problems ◽  
Boundary Conditions ◽  
Spectral Parameter ◽  
Liouville Operator ◽  
Weyl Function ◽  
Spectral Sequences ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Parameter Dependent

The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval. It is proven that the coefficients of the problem can be uniquely determined by either Weyl function or given two different spectral sequences.

scholarly journals On Stability of Basis Property of Root Vectors System of the Sturm-Liouville Operator with an Integral Perturbation of Conditions in Nonstrongly Regular Samarskii-Ionkin Type Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
N. S. Imanbaev
Keyword(s):  
Boundary Conditions ◽  
Liouville Operator ◽  
Basis Property ◽  
Differentiation Operator ◽  
Stability And Instability ◽  
Associated Functions ◽  
Sturm Liouville ◽  
Type Boundary ◽  
Eigenfunctions And Associated Functions ◽  
Integral Perturbation

We study a question on stability and instability of basis property of system of eigenfunctions and associated functions of the double differentiation operator with an integral perturbation of Samarskii-Ionkin type boundary conditions.

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