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Continuous dependence on parameters

Authors: Afonso, Suzete M.; Bonotto, Everaldo M.; Federson, Márcia; Mesquita, Jaqueline G.;

Continuous dependence on parameters

Abstract

This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of solutions of a nonautonomous generalized ODE. The chapter also investigates continuous dependence results on parameters for generalized ODEs in a Banach space X, equipped with norm ‖. It presents a result on continuous dependence of solutions on parameters for generalized ODEs. The chapter also aims to prove some results on continuous dependence on parameters for measure functional differential equations (FDEs), and the correspondence between generalized ODEs and measure FDEs.

Country
Brazil
Keywords

Banach space, Continuous dependence, Functional differential equations, Ordinary differential equations

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selected citations
These citations are derived from selected sources.
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
Green