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Periodic and Homoclinic Solutions of Extended Fisher–Kolmogorov Equations

Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations
Authors: Tersian, Stepan; Chaparova, Julia;

Periodic and Homoclinic Solutions of Extended Fisher–Kolmogorov Equations

Abstract

The authors study the existence of periodic and homoclinic solutions to fourth-order semilinear equations via variational methods. The following problem is solved: \[ u^{iv}-pu''- a(x)u+b(x)u^3=0,\quad 0

Keywords

homoclinic solutions, Applied Mathematics, existence, periodic solutions, Homoclinic and heteroclinic solutions to ordinary differential equations, Periodic solutions to ordinary differential equations, extended Fisher-Kolmogorov equations, Analysis, periodic and homoclinic solutions

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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).
    90
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
90
Top 10%
Top 1%
Average
hybrid