Convergence of monotone nets in ordered topological vector spaces
Charles McArthur (1970)
Studia Mathematica
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Charles McArthur (1970)
Studia Mathematica
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Jacek Bochnak, Józef Siciak (1971)
Studia Mathematica
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J. Cooper (1969)
Studia Mathematica
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Jean Schmets, Manuel Valdivia (1999)
Collectanea Mathematica
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N. Kalton (1986)
Studia Mathematica
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Jian-Guo Si, Xin-Ping Wang (1999)
Colloquium Mathematicae
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This paper is concerned with a second-order functional differential equation of the form with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
Owa, Shigeyoshi (1981)
Portugaliae mathematica
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Edward Bierstone, P. D. Milman (1987)
Annales de l'institut Fourier
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This is a sequel to “Relations among analytic functions I”, , , fasc. 1, [pp. 187-239]. We reduce to semicontinuity of local invariants the problem of finding solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases : in the algebraic category, for “regular” mappings, and for module homomorphisms over a finite mapping.