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International Journal of Stochastic Analysis
Article . 1994 . Peer-reviewed
License: CC BY
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Well posedness for evolution inclusions

Authors: A. Anguraj; Krishnan Balachandran;

Well posedness for evolution inclusions

Abstract

We prove the existence of a continuous selection of the multivalued map φ → Φ(φ) which is the set of all mild solutions of the evolution inclusion urn:x-wiley:20903332:media:ista615767:ista615767-math-0001 Here F is a multivalued map, Lipschitzian with respect to x, and A is the infinitesimal generator of a C0‐semigroup.

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Keywords

Integro-ordinary differential equations, continuous selection, multifunction, nonlinear nonautonomous evolution inclusion, mild solutions, Selections in general topology, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Ordinary differential inclusions

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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