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Bulgarian Digital Mathematics Library at IMI-BAS
Article . 2000
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Differential Equations in Abstract Cones

Differential equations in abstract cones
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2000 Bulgaria Publisher:Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia
Authors: Jankowski, Tadeusz;

handle: 10525/418

Differential Equations in Abstract Cones

Abstract

Here, a nonlinear differential problem in abstract normal cones is considered. The method of quasilinearization is extended for studying such a problem. Superlinear and semi-superlinear convergence of the corresponding monotone iterations to the unique solution are proved.

Country
Bulgaria
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Keywords

Quasilinearization, quasilinearization, monotone iterations, Nonlinear differential equations in abstract spaces, Superlinear and Semi–Superlinear Convergence, Functional-differential equations in abstract spaces, Monotone Iterations

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selected citations
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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.
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