Infinite system of 2-systems of differential equations in Hilbert space Ibragimov G. I., Qushaqov H. Sh. Abstract

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Uzbek Mathematical

Journal, 2019, No 2, pp.1-11

Infinite system of 2-systems of differential equations in Hilbert space

Ibragimov G.I., Qushaqov H.Sh.
Abstract. In this paper, we consider an infinite system of differential equations. The system consists of 2-systems corresponding to Jordan blocks. We investigate the system of differential equations in Hilbert space . We prove the existence and uniqueness of the solution of system of differential equations in a specified space of functions.

Keywords: Differential equations; infinite system; existence and uniqueness of solution; Hilbert space.

MSC (2010): 53C12, 57R25, 57R35