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Paper detail

Index concepts for linear differential-algebraic equations in finite and infinite dimensions

Different index concepts for linear differential-algebraic equations are defined in the general Banach space setting, and compared. For regular finite-dimensional linear differential-algebraic equations, all these indices exist and are equivalent. For infinite-dimensional systems, the situation is more complex. It is proven that although some indices imply others, in general they are not equivalent. The situation is illustrated with a number of examples.

preprint2024arXivOpen access
Mehmet ErbayBirgit JacobKirsten MorrisTimo ReisCaren Tischendorf
math.DS
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Mehmet ErbayBirgit JacobKirsten MorrisTimo ReisCaren Tischendorf

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