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Chinese Journal of Mathematics
Article . 2017 . Peer-reviewed
License: CC BY
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Chinese Journal of Mathematics
Article
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Article . 2017
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https://dx.doi.org/10.48550/ar...
Article . 2016
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Problems with Mixed Boundary Conditions in Banach Spaces

Problems with mixed boundary conditions in Banach spaces
Authors: Dionicio Pastor Dallos Santos;

Problems with Mixed Boundary Conditions in Banach Spaces

Abstract

Using Leray-Schauder degree or degree for α-condensing maps we obtain the existence of at least one solution for the boundary value problem of the following type: φu′′=ft,u,u′, u(T)=0=u′(0), where φ:X→X is a homeomorphism with reverse Lipschitz constant such that φ(0)=0, f:0,T×X×X→X is a continuous function, T is a positive real number, and X is a real Banach space.

Related Organizations
Keywords

Fixed-point theorems, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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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!
1
Average
Average
Average
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gold