A. Dabbaghian - Islamic Azad University, Neka Branch, Neka, Iran Sh. Akbarpoor - Islamic Azad University, Jouybar Branch, Jouybar, Iran
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.
A. Dabbaghian, Sh. Akbarpoor, On the Determination of Asymptotic Formula of the Nodal Points for Differential Pencils with Separated Boundary Conditions, Journal of Mathematics and Computer Science, 3 (2011), no. 2, 176--178
Dabbaghian A., Akbarpoor Sh., On the Determination of Asymptotic Formula of the Nodal Points for Differential Pencils with Separated Boundary Conditions. J Math Comput SCI-JM. (2011); 3(2):176--178
Dabbaghian, A., Akbarpoor, Sh.. "On the Determination of Asymptotic Formula of the Nodal Points for Differential Pencils with Separated Boundary Conditions." Journal of Mathematics and Computer Science, 3, no. 2 (2011): 176--178