In this paper, we consider the inverse problem of recovering the Sturm–Liouville operator
with frozen argument from its spectrum. In the case of irrational frozen argument, necessary …

This paper deals with the discrete system being the finite-difference approximation of the
Sturm–Liouville problem with frozen argument. The inverse problem theory is developed for …

The paper addresses nonlinear inverse Sturm–Liouville-type problems with constant delay.
Since many processes in the real world possess nonlocal nature, operators with delay as …

We study the inverse problem of recovering the potential q (x) from the spectrum of the
operator-y''(x)+ q (x) y (a),-y′′(x)+ q (x) y (a), y^(α)(0)= y^(β)(1)= 0, y (α)(0)= y (β)(1)= 0 …

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Reconstruction for Sturm–Liouville operators with frozen argument for irrational cases -
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Abstract In this paper, Sturm–Liouville operators with frozen argument are studied. We
derive the regularized trace formulae for these operators. Also we provide asymptotic …

We study spectral properties of a wide class of differential operators with frozen arguments
by putting them into a general framework of rank-one perturbation theory. In particular, we …

We consider second order linear differential operators possessing a term depending on the
unknown function with a fixed argument and study the uniqueness of recovering the …

The paper deals with nonlocal differential operators possessing a term with frozen (fixed)
argument appearing, in particular, in modelling various physical systems with feedback. The …