Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem

Turhan Koprubasi; R. N. Mohapatra

doi:10.3842/umzh.v76i9.7718

Turhan Koprubasi Department of Mathematics, Kastamonu University, Turkey and Department of Mathematics, University of Central Florida, Orlando, FL, USA
R. N. Mohapatra Department of Mathematics, University of Central Florida, Orlando, FL, USA

DOI: https://doi.org/10.3842/umzh.v76i9.7718

Анотація

УДК 517.9

Обернені властивості розсіювання з формулою Левінсона для кубічної дискретної задачі Дірака, що залежить від власних параметрів

Наведено деякі властивості нулів функції Йоста та функції розсіювання. Крім того, єдиність ядра та неперервність функції розсіювання з відповідною формулою типу Левінсона досліджено для оберненої дискретної задачі Дірака на основі кубічної граничної умови, що залежить від власних параметрів.

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