New solvable cases of m-machine and n-element sequencing problems
J. Grabowski, M. M. Sysło (1975)
Applicationes Mathematicae
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J. Grabowski, M. M. Sysło (1975)
Applicationes Mathematicae
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Mathematische Zeitschrift
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International Journal of Mathematics and Mathematical Sciences
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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...
Marcolongo, P. (2002)
Rendiconti del Seminario Matematico
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Khazal, R., Mukherjee, N.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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Mathematische Zeitschrift
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