Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces

He Yang

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: This paper deals with the existence and uniqueness of mild solutions for the initial value problems of abstract impulsive evolution equations in an ordered Banach space E : u′(t) + Au(t) = f(t, u(t), Gu(t)), t ∈ [0, a], t ≠ tk, Δu|t=tk=Ik(u(tk)), 0

Date: 2010
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https://doi.org/10.1155/2010/481648

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:481648

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