On a functional equation related to a generalization of Flett's mean value theorem.
Riedel, T., Sablik, Maciej (2000)
International Journal of Mathematics and Mathematical Sciences
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Riedel, T., Sablik, Maciej (2000)
International Journal of Mathematics and Mathematical Sciences
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Kim, G.H., Sahoo, P.K. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Ceppitelli, Rita, Faina, Loris (1997)
Serdica Mathematical Journal
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We study, in Carathéodory assumptions, existence, continuation and continuous dependence of extremal solutions for an abstract and rather general class of hereditary differential equations. By some examples we prove that, unlike the nonfunctional case, solved Cauchy problems for hereditary differential equations may not have local extremal solutions.
M. Baran, H. Haruki (1991)
Annales Polonici Mathematici
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The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function of a complex variable z.
Singh, R.K., Singh, P., Pandey, V.K. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Elqorachi, Elhoucien, Akkouchi, Mohamed (2003)
Georgian Mathematical Journal
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Człapiński, Tomasz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Robert Mařík (2005)
Archivum Mathematicum
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In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.
Bolesław Gaweł (1995)
Annales Polonici Mathematici
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We consider the problem of the vanishing of non-negative continuous solutions ψ of the functional inequalities (1) ψ(f(x)) ≤ β(x,ψ(x)) and (2) α(x,ψ(x)) ≤ ψ(f(x)) ≤ β(x,ψ(x)), where x varies in a fixed real interval I. As a consequence we obtain some results on the uniqueness of continuous solutions φ :I → Y of the equation (3) φ(f(x)) = g(x,φ(x)), where Y denotes an arbitrary metric space. ...
Kamont, Z., Kozieł, S. (2003)
Georgian Mathematical Journal
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