On transformations of differential equations and systems with deviating argument

František Neuman

Displaying similar documents to “On transformations of differential equations and systems with deviating argument”

Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations

Václav Tryhuk (1997)

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Remark to transformations of functional-differential equations of the first order

Václav Tryhuk (1999)

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The most general transformation of homogeneous linear differential retarded equations of the first order

Václav Tryhuk (1980)

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A functional equation arising from the Joukowski transformation

Hiroshi Haruki (1985)

Annales Polonici Mathematici

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On global transformations of functional-differential equations of the first order

Václav Tryhuk (2000)

Czechoslovak Mathematical Journal

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The paper describes the general form of functional-differential equations of the first order with $m (m \geq 1)$ delays which allows nontrivial global transformations consisting of a change of the independent variable and of a nonvanishing factor. A functional equation $f (t, u v, u_{1} v_{1}, ..., u_{m} v_{m}) = f (x, v, v_{1}, ..., v_{m}) g (t, x, u, u_{1}, ..., u_{m}) u + h (t, x, u, u_{1}, ..., u_{m}) v$ for $u \neq 0$ is solved on $ℝ$ and a method of proof by J. Aczél is applied.