On Homogeneous Evolution Equation in a Banach Space

Abstract : A geometric homogeneity of evolution equation in a Banach space is introduced. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are supported by examples from mathematical physics.
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Andrey Polyakov, Denis Efimov, E Fridman, Wilfrid Perruquetti. On Homogeneous Evolution Equation in a Banach Space. European Control Conference 2015, Jul 2015, Linz, Austria. ⟨hal-01160068⟩

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