On transformations of functional-differential equations

Jan Čermák

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

Václav Tryhuk (2000)

Czechoslovak Mathematical Journal

Similarity:

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.

Remark to transformations of linear differential and functional-differential equations

Václav Tryhuk (2000)

Czechoslovak Mathematical Journal

Similarity:

For linear differential and functional-differential equations of the $n$ -th order criteria of equivalence with respect to the pointwise transformation are derived.

Displaying similar documents to “On transformations of functional-differential equations”

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

Remark to transformations of linear differential and functional-differential equations