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Existence of exponential dichotomies for some classes of degenerate linear equations. (Russian. English summary) Zbl 1212.34166

Summary: Sufficient conditions are derived for the existence of invariant subspaces and exponential dichotomies for some classes of first order linear equations in Banach spaces unsolved with respect to the derivative are found. The obtained results are illustrated by an example.

MSC:

34G10 Linear differential equations in abstract spaces
34D09 Dichotomy, trichotomy of solutions to ordinary differential equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
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