Exponential stability of quasi-linear non-autonomous differential equations in Banach spaces

Liu Lixin Liu Lixin

doi:10.1109/chicc.2008.4605484

Exponential stability of quasi-linear non-autonomous differential equations in Banach spaces

Liu Lixin Liu Lixin

https://doi.org/10.1109/chicc.2008.4605484

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Publication Date: Jul 1, 2008

Citations: 2

Affiliation: Panzhihua University

#Differential Equations In Banach Spaces #Equations In Banach Spaces + Show 8 more

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Abstract

This paper is concerned with the exponential stability of the zero solution of a quasi-linear differential equation in a Banach space, it is proved that the quasi-linear non-autonomous differential equation is exponentially stable if and only if the associated linear non-autonomous differential equation is exponentially stable.

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