Trace formula of the integro-differential operator on a quantum graph

General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Cites Work

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Regularized trace for Sturm-Liouville differential operator on a star-shaped graph
Trace formulae for the matrix Schrödinger equation with energy-dependent potential
Trace and inverse problem of a discontinuous Sturm-Liouville operator with retarded argument
A trace formula for integro-differential operators on the finite interval
Traces of differential operators
Inverse problem for integrodifferential operators
The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential
New trace formulae for Sturm-Liouville operators on the Lasso-graph
Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph
Inverse nodal problems for integro-differential operators with a constant delay
Inverse nodal problems for Dirac-type integro-differential operators
The inverse spectral problem for integro-differential operators
On an inverse spectral problem for a convolution integro-differential operator
An inverse nodal problem for integro-differential operators
Trace formulae for the Schrödinger equation with energy-dependent potential
Spectral asymptotics and regularized traces for Dirac operators on a star-shaped graph
Traces of Sturm-Liouville operators with discontinuities
The regularized trace formula for the Sturm-Liouville equation with spectral parameter in the boundary conditions
Trace Formulas and the Behaviour of Large Eigenvalues
An inverse problem for an integro‐differential operator on a star‐shaped graph

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