Inverse nodal problems for the Sturm–Liouville operator with a constant delay
The inverse nodal problem is studied for the differential equation \[ -y''(x)+q(x)y(x-a)=\lambda y(x),\; x\in(0,\pi) \] with two-point separated boundary conditions. A procedure for constructing the solution of this problem is suggested, and the stability of the solution is established.
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Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem
Inverse nodal problems has been studied for Sturm-Liouville equations with point δ coaction. First, the eigenvalues of the problem are obtained. Then, the solution of the inverse problem is given by obtaining potential function and the parameters in the boundary conditions with the help of a dense set of nodal points.
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Inverse nodal problems for Dirac operators and their numerical approximations
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