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Nonlinear Partial Functional Differential Equations: Existence and Stability

Nonlinear partial functional differential equations: Existence and stability
Authors: Caraballo Garrido, Tomás;

Nonlinear Partial Functional Differential Equations: Existence and Stability

Abstract

Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to partial functional differential equations are studied. The stability results derived are also applied to ordinary differential equations with hereditary characteristics.

Country
Spain
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Keywords

Stability theory of functional-differential equations, exponential stability, Applied Mathematics, Partial functional-differential equations, existence, uniqueness, Partial differential equation, finite delay, nonlinear functional differential equations, partial differential equation, partial functional differential equation, variational approach, Analysis, nonlinear monotone and coercive operators

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    Top 10%
    influence
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citations
The total number of citations received by all articles of the researcher of interest.
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!
14
Top 10%
Top 10%
Average
Green
hybrid
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