An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula

Abstract

In this work, an inverse problem for discrete Sturm-Liouville operator withhyperbolic eigenparameter dependent boundary condition is studied. Followingthe finding scattering function and the main equation of this problem, theuniqueness of the solution is proven. Finally, an appropriate Levinson typeformula is derived.

Keywords

• discrete equation
• Sturm-Liouville problem
• eigenparameter
• scattering function
• Levinson formula

References

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