|1Gorodnii, MF |
1Taras Shevchenko National University of Kyiv
|Dopov. Nac. akad. nauk Ukr. 2019, 2:12-16|
We study the problem of existence of the unique bounded solution of a linear secondorder difference equation with a jump of the operator coefficient in a finitedimensional Banach space. For such an equation, the criterion for the existence and uniqueness of a bounded solution is proved for any “input” bounded sequence. The case where the matrix of operator coefficients reduces to a diagonal form is investigated in detail.
|Keywords: bounded solution, difference equation, finitedimensional space, linear operator|
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