On the Determination of Asymptotic Formula of the Nodal Points for Differential Pencils with Separated Boundary Conditions


Authors

A. Dabbaghian - Islamic Azad University, Neka Branch, Neka, Iran Sh. Akbarpoor - Islamic Azad University, Jouybar Branch, Jouybar, Iran


Abstract

In this work, we solve the inverse nodal problem for the diffusion operator on a finite interval with separated boundary conditions. We investigation the oscillation of the eigenfunctions and derive an asymptotic formula for the nodal points. Uniqueness theorem is proved, and a constructive procedure for the solution is provided.


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