Abstract:
The nonlocal unique solvability of the abstract Cauchy problem for an equation in a Hilbert space with locally
Lipschitz nonlinearity is proved. Applications of the main result to the analysis of direct and inverse problems for
the Landau-Khalatnikov equation are considered.
Key words:Cauchy problem for a differential equation in Hilbert space, existence and uniqueness of a solution, direct and inverse
problems for the Landau-Khalatnikov equation.
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