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Lipschitz Stability of Inverse Nodal Problem for Energy-Dependent Sturm-Liouville Equation

Lipschitz Stability of Inverse Nodal Problem for Energy-Dependent Sturm-Liouville Equation

In this study, we solve the reconstruction and some stability problems for diffusion operator using nodal set ofeigenfunctions. Moreover, we show that the space of all potential functions q is homeomorphic to the partition set of allasymptotically equivalent nodal sequences induced by an equivalence relation. To show this stability which …