Existens and uniqueness theorem for an infinite system of ternary differential equations

Аннотация

In this paper, a solution of an infinite system of ternary differential equations has been studied. This system corresponds to 3 × 3 Jordan blocks. The system is studied in the Hilbert space l 2 . In the main part of the paper, theorem about the existence and uniqueness of solution of the given system is proved in the Hilbert space l 2 .