A new inverse problem for the diffusion operator
Copyright policy )A new inverse problem for the diffusion operator
The inverse nodal problem is studied for the boundary value problem \[ y''+(\lambda^2+\lambda p(x)+q(x))y=0,\quad x\in (0,\pi), \] \[ y'(0)-hy(0)=y'(\pi)+Hy(\pi)=0. \] It is proved that the specification of any dense set of nodal points uniquely determines \(q(x)-\int_0^1 q(t)\,dt\) provided that \(p(x)\) is known a priori.
- Fırat University Turkey
Nodal point, Applied Mathematics, Inverse problems involving ordinary differential equations, General theory of ordinary differential operators, diffusion operator, nodal points, General spectral theory of ordinary differential operators, Diffusion operator
Nodal point, Applied Mathematics, Inverse problems involving ordinary differential equations, General theory of ordinary differential operators, diffusion operator, nodal points, General spectral theory of ordinary differential operators, Diffusion operator
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