Fedorov, V. E.; Sagadeeva, M. A. Existence of exponential dichotomies for some classes of degenerate linear equations. (Russian. English summary) Zbl 1212.34166 Vychisl. Tekhnol. 11, No. 2, 82-92 (2006). 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. Cited in 1 Document 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 Keywords:degenerate semigroup; sectorial operator; Sobolev type equation PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{M. A. Sagadeeva}, Vychisl. Tekhnol. 11, No. 2, 82--92 (2006; Zbl 1212.34166)