scholarly journals Inverse spectral and inverse nodal problems for Sturm-Liouville equations with point $\delta$ and $\delta'$-interactions

2019 ◽  
Vol 45 (45) ◽  
pp. 286-294
Author(s):  
Manaf Dzh. Manafov
Keyword(s):  
Inverse Nodal Problems ◽  
Sturm Liouville ◽  
Inverse Spectral

Inverse nodal problems for integro-differential operators with a constant delay

2019 ◽  
Vol 27 (4) ◽  
pp. 501-509 ◽  
Author(s):  
Murat Sat ◽  
Chung Tsun Shieh
Keyword(s):  
Integral Operator ◽  
Potential Function ◽  
Liouville Operator ◽  
Differential Operators ◽  
Constant Delay ◽  
Nodal Points ◽  
Inverse Nodal Problems ◽  
Volterra Integral Operator ◽  
Sturm Liouville

Abstract We study inverse nodal problems for Sturm–Liouville operator perturbed by a Volterra integral operator with a constant delay. We have estimated nodal points and nodal lengths for this operator. Moreover, by using these data, we have shown that the potential function of this operator can be established uniquely.

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