Some properties of the one-dimensional potentials
Бiрөлшемдi потенциaлдaрдың кейбiр қaсиеттерi
Некоторые свойствa одномерных потенциaлов
Kalmenov T.S. Kadirbek A. Kydyrbaikyzy A.
2024E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2024#113Issue 1101 - 111 pp.
The main aim of this paper is to study the properties of the one-dimensional potentials. In this paper, we have studied the connection between the one-dimensional potentials and the self-adjoint part of the operator L−K1, which L−K1 is the solution to the one-dimensional Cauchy problem. Moreover, a new method is used that allows us to reduce the spectral problem for the Helmholtz potential to the equivalent problem.
Fredholm operator , one-dimensional Helmholtz potential , spectral problem
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