EUDML | On a local form of Lobachevski's functional equation

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Displaying similar documents to “On a local form of Lobachevski's functional equation”

On locally bounded solutions of Schilling's problem

Janusz Morawiec (2001)

Annales Polonici Mathematici

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We prove that for some parameters q ∈ (0,1) every solution f:ℝ → ℝ of the functional equation f(qx) = 1/(4q) [f(x-1) + f(x+1) + 2f(x)] which vanishes outside the interval [-q/(1-q),q/(1-q)] and is bounded in a neighbourhood of a point of that interval vanishes everywhere.

On monotonic solutions of a functional equation (I)

M. Kuczma (1961)

Annales Polonici Mathematici

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On continuous solutions of a functional equation

M. Kuczma (1960)

Annales Polonici Mathematici

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Quadratic functionals with Euler’s equation ${(p y^{'})}^{'} + q y = 0$

Jaroslav Krbiľa (1974)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

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On the functional equation F(x,φ(x),φ[f(x)])=0

J. Kordylewski, M. Kuczma (1959)

Annales Polonici Mathematici

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Continuous solutions of the functional equation φ[f(x)]=F(x,φ(x)) with the function 𝑓(x) decreasing

J. Kordylewski (1961)

Annales Polonici Mathematici

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On the functional equation $F (x, φ (x), φ [f_{1} (x)], . . ., φ [f_{n} (x)]) = 0$

J. Kordylewski, M. Kuczma (1960)

Annales Polonici Mathematici

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Non-local problems in the calculus of variations (II)

A. Krzywicki, J. Rzewuski, J. Zamorski, A. Zięba (1957)

Annales Polonici Mathematici

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On the functional equation $φ^{n} (x) = g (x)$

M. Kuczma (1961)

Annales Polonici Mathematici

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