Criteria for the Uniqueness of a Solution to a Differential-Operator Equation with Non-Degenerate Conditions
Kanguzhin B. Koshanov B.
February 2024Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2024#16Issue 2
In this article, the symmetric operator L corresponding to the boundary value problem is represented as the difference of two commuting operators A and (Formula presented.) The uniqueness of the solution is guaranteed if the spectra of the operators A and B do not intersect and the domain of the operator B is given by non-degenerate boundary conditions. In contrast to the existing papers, the criterion for the uniqueness of the boundary value problem formulated in this paper is satisfied even when the system of root functions of the operator B does not form a basis in the corresponding space. At the same time, only the closedness of the linear operator A is required.
boundary value problem , differential-operator equation , Sturm-Liouville equation , symmetric operator
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematical and Computer Modeling, International University of Information Technologies, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mathematical and Computer Modeling
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