Nonnegative nonincreasing solutions of differential equations of the 3rd order
Irena Rachůnková (1990)
Czechoslovak Mathematical Journal
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Irena Rachůnková (1990)
Czechoslovak Mathematical Journal
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Ivan Kiguradze, Irena Rachůnková (1980)
Archivum Mathematicum
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G. T. Gegelia (1984)
Archivum Mathematicum
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Priscilla Gorelli (2000)
Colloquium Mathematicae
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G. Belitskii, Yu. Lyubich (1998)
Studia Mathematica
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We investigate the solvability in continuous functions of the Abel equation φ(Fx) - φ(x) = 1 where F is a given continuous mapping of a topological space X. This property depends on the dynamics generated by F. The solvability of all linear equations P(x)ψ(Fx) + Q(x)ψ(x) = γ(x) follows from solvability of the Abel equation in case F is a homeomorphism. If F is noninvertible but X is locally compact then such a total solvability is determined by the same property of the cohomological...