The trace formula for Sturm–Liouville operator with operator coefficient

2001 ◽  
Vol 42 (6) ◽  
pp. 2611-2624 ◽  
Author(s):  
Ehliman Adigüzelov ◽  
Hamit Avci ◽  
Erdal Gül
Keyword(s):  
Trace Formula ◽  
Liouville Operator ◽  
Operator Coefficient ◽  
Sturm Liouville

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.

scholarly journals A regularized trace formula for second order differential operator equations

2010 ◽  
Vol 107 (1) ◽  
pp. 123
Author(s):  
Kevser Koklu ◽  
Inci Albayrak ◽  
Azad Bayramov
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Trace Formula ◽  
Operator Function ◽  
Order Differential Operator ◽  
Operator Coefficient ◽  
Operator Equations ◽  
Regularized Trace ◽  
Sturm Liouville ◽  
Generalize Trace

In this paper, we deal with abstract Sturm-Liouville problems when the potential of the differential equation is an operator function in a Hilbert space $H$. We generalize trace formula obtained by [7], [9] for the classic regular Sturm-Liouville problems. We investigate the spectrum and obtained a regularized trace formula for the Sturm-Liouville operator with an operator coefficient.

Sign in / Sign up

Export Citation Format

Share Document