scholarly journals The first regularized trace of integro-differential Sturm-Liouville operator on the segment with punctured points at integral perturbation of transmission conditions

2017 ◽  
Vol 92 (4) ◽  
pp. 32-39
Author(s):  
L. K. Zhumanova ◽  
◽  
M. A. Sadybekov ◽  
Keyword(s):  
Liouville Operator ◽  
Transmission Conditions ◽  
Regularized Trace ◽  
Sturm Liouville ◽  
Integral Perturbation

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.

scholarly journals The formula for the regularized trace of the Sturm-Liouville operator with a logarithmic potential

2019 ◽  
Vol 50 (3) ◽  
pp. 269-280
Author(s):  
Khabir Kabirovich Ishkin ◽  
Leisan Gainullovna Valiullina
Keyword(s):  
Trace Formula ◽  
Liouville Operator ◽  
Logarithmic Potential ◽  
Regularized Trace ◽  
Sturm Liouville

We have obtained a regularized trace formula for the Sturm-Liouville operator on a semi-axis with a logarithmic potential.

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