On approximate solutions of a functional equation in the class of differentiable functions
Displaying 121 – 140 of 503
On approximate solutions of a system of functional equations
Karol Baron (1983)
Annales Polonici Mathematici
On approximate solutions of functional equations of countable order.
Karol Baron, Witold Jarczyk (1985)
Aequationes mathematicae
On approximate solutions of the Pexider equation.
J. Tabor, J. Chmielinski (1993)
Aequationes mathematicae
On approximate solutions of the Pexider equation. (Summary).
J. Tabor, J. Chmielinski (1993)
Aequationes mathematicae
On associative copulas uniformly close.
Alsina, Claudi, Ger, Roman (1988)
International Journal of Mathematics and Mathematical Sciences
On associative developable surfaces
Claudi Alsina (1986)
Archivum Mathematicum
On axiomatic characterization of information-theoretic measure type
Inder Jeet Taneja, H. C. Gupta (1979)
Kybernetika
On Baire measurable solutions of some functional equations
Karol Baron (2009)
Open Mathematics
We establish conditions under which Baire measurable solutions f of defined on a metrizable topological group are continuous at zero.
On Bimorphisms and Quadratic Forms on Groups
S. KUREPA (1973)
Aequationes mathematicae
On Bimorphisms and Quadratic Forms on Groups. (Short Communications).
Svetozar Kurepa (1972)
Aequationes mathematicae
On boundaries of parallelizable regions of flows of free mappings.
Leśniak, Zbigniew (2007)
Abstract and Applied Analysis
On bounded time-dependent perturbations of operator cosine functions.
Dieter Lutz (1981)
Aequationes mathematicae
On boundedness and discontinuity of additive functions
J. Smital (1972)
Fundamenta Mathematicae
On Cauchy differences of all orders.
K.J. Heuvers, B.R. Ebanks, C.T. Ng (1991)
Aequationes mathematicae
On Cauchy-type functional equations.
Elhoucien, Elqorachi, Akkouchi, Mohamed (2004)
International Journal of Mathematics and Mathematical Sciences
On certain asymptotic functional equations.
P.D.T.A. Elliott (1978)
Aequationes mathematicae
On Characterizing x... .
S.L. Segal (1971/1972)
Jahresbericht der Deutschen Mathematiker-Vereinigung
On conjugacy equation in dimension one
Krzysztof Ciepliński, Zbigniew Leśniak (2013)
Banach Center Publications
In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (f and g are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.
On continuous composition operators
Wilhelmina Smajdor (2010)
Annales Polonici Mathematici
Let I ⊂ ℝ be an interval, Y be a normed linear space and Z be a Banach space. We investigate the Banach space Lip₂(I,Z) of all functions ψ: I → Z such that , where [r,s,t;ψ]:= ((s-r)ψ(t)+(t-s)ψ(r)-(t-r)ψ(s))/((t-r)(t-s)(s-r)). We show that ψ ∈ Lip₂(I,Z) if and only if ψ is differentiable and its derivative ψ’ is Lipschitzian. Suppose the composition operator N generated by h: I × Y → Z, (Nφ)(t):= h(t,φ(t)), maps the set (I,Y) of all affine functions φ: I → Y into Lip₂(I,Z). We prove that if N is...