Half inverse problems for the impulsive singular diffusion operator

Authors : Rauf AMİROV, Abdullah ERGÜN

Pages : 186-198

View : 39 | Download : 7

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :In this paper, we consider the inverse spectral problem for the impulsive Sturm-Liouville differential pencils on $\left[ 0,\pi\right] $ with the Robin boundary conditions and the jump conditions at the point $\dfrac{\pi}% {2}$. We prove that two potentials functious on the whole interval and the parameters in the boundary and jump conditions can be determined from a set of eigenvalues for two cases: insert ignore into journalissuearticles values(i); The potentials is given on $\leftinsert ignore into journalissuearticles values( 0,\dfrac{\pi}{4}\leftinsert ignore into journalissuearticles values( \alpha+\beta \right); \right); .$ insert ignore into journalissuearticles values(ii); The potentials is given on $\leftinsert ignore into journalissuearticles values( \alpha+\beta, \dfrac{\alpha+\beta}{2} \right); $, where $0 1$ respectively. Finally, was given interior inverse problem for same boundary problem.
Keywords : Inverse spectral problems, Sturm Liouville Operator, spectrum, uniqueness

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